基本信息
胡齐芽 男 博导 中国科学院数学与系统科学研究院
电子邮件： hqy@lsec.cc.ac.cn
通信地址： 北京中关村东路55号中科院数学与系统科学研究院
邮政编码： 100190
电子邮件： hqy@lsec.cc.ac.cn
通信地址： 北京中关村东路55号中科院数学与系统科学研究院
邮政编码： 100190
研究概况
研究方向
1. 偏微分方程的区域分解方法;
2. 鞍点问题的迭代算法;
3. 电磁场问题的高效算法;
4. 机器学习
成果影响
已在国际计算数学SCI期刊上发表论文50多篇, 其中在SIAM系列等国际计算数学顶尖刊物上发表20多篇。 在国际同行中有影响的成果有：
1. 对弱奇异积分（积-微分）方程提出了ß-多项式配置方法，并对配置解提出了一种比著名的Sloan迭代更便宜的后处理方法；
相关论文：
(1) Qiya Hu, Stieltjes derivatives and ß-polynomial collocation methods to Volterra Integro-differential equations with singularities, SIAM J. Numer. Anal., 33(1996),No.1, 208-220
(2) Qiya Hu, Superconvergence of numerical solutions to Volterra integral equations with singularities, SIAM J. Numer. Anal., 34(1997), No.5, 1698-1707
2. 首次对鞍点问题设计了实用的非精确Uzawa迭代方法, 引发了许多后继工作;
相关论文：
(1) Qiya Hu and Jun Zou, An iterative method with variable relaxation parameters for saddle-point problems, SIAM J. Matrix. Anal. Appl., 23(2001), No.2, 317-338
(2) Qiya Hu and Jun Zou, Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems, Numer. Math., 93(2002), No. 3, 333-359
（3）Qiya Hu and Jun Zou, Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems. SIAM J. Optim. 16 (2006), No. 3, 798-825
3. 首次对三维Maxwell方程组设计了有效的非重叠区域分解方法, 该项成果被国际同行称为开创性的工作(pioneering work).
相关论文：
(1) Qiya Hu and Jun Zou, A non-overlapping domain decomposition method for Maxwell's equations in three dimensions, SIAM J. Numer. Anal., 41(2003), No.5, 1682-1708
(2) Qiya Hu and Jun Zou, Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions, Math. Comp., 73(2003),No. 245, 35-61
（3）Qiya Hu, Shi Shu and Jun Zou, A discrete weighted Helmholtz decomposition and its Application, Numer. Math., 2013, Vol. 125, No. 1, pp 153-189
4. 对赫姆霍兹方程的平面波离散系统构造了新型平行预条件子，并提出了求解非齐次散射问题的新颖平面波方法.
相关论文：
（1）Qiya Hu and Haiyang Zhang，Substructuring preconditioners for the systems arising from plane wave discretization of Helmholtz equations，SIAM J. Sci. Comput.，2016, Vol. 38, No. 4, pp. 2232-2261
(2) Qiya Hu and Xun Li, Efficient multilevel preconditioners for the three-dimensional plane wave Helmholtz systems with large wave numbers, SIAM: MULTISCALE MODEL. SIMUL., Vol. 15, No. 3, pp. 1242–1266
(3) Qiya Hu and Long Yuan, A Plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations, Adv. Comput. Math., 44(2018), pp. 245-275
当前的主要研究兴趣
时谐Maxwell方程组(电磁散射问题)的区域分解并行算法。
大数据神经网络算法。
招生信息
已有9名研究生如期毕业（尚无学生延期）并获得博士学位，对每个学生都给予具体、细心的指导。每年可招收一名硕博连读学生，研究方向可以有多种选择，欢迎有兴趣的学生联系了解。
招生专业
070102-计算数学
招生方向
区域分解并行算法
电磁场问题的高效算法
机器学习算法
电磁场问题的高效算法
机器学习算法
教育背景
1995-09--1998-07 中国科学院数学研究所 博士
学历
研究生: 1986年至1988年(湘潭大学)
博士：1995年至1998年（中国科学院数学研究所）
学位
硕士学位：1990年7月（湘潭大学）
博士学位: 1998年7月(中国科学院数学研究所)
工作经历
工作简历
2000-09~现在, 中国科学院数学与系统科学研究院, 助研,副研,正研
1998-09~2000-08,中国科学院计算数学研究所, 博士后
1988-08~1995-08,湘潭大学, 大学教师(副教授)
1998-09~2000-08,中国科学院计算数学研究所, 博士后
1988-08~1995-08,湘潭大学, 大学教师(副教授)
社会兼职
2020-09-01-2023-08-31,计算数学, 编委
2017-09-01-2020-08-31,数值计算与计算机应用, 编委
2014-09-01-2017-08-31,数值计算与计算机应用, 编委
2017-09-01-2020-08-31,数值计算与计算机应用, 编委
2014-09-01-2017-08-31,数值计算与计算机应用, 编委
教授课程
微积分I-B
微积分II-B
微积分
区域分解方法
微积分II-B
微积分
区域分解方法
专利与奖励
奖励信息
（1） 中国科学院数学与系统科学研究院突出科研成果奖, , 院级, 2010
（2） 中国科学院博士院长奖学金, 特等奖, 部委级, 1998
（3） 湖南省自然科学优秀论文, 二等奖, 省级, 1997
（2） 中国科学院博士院长奖学金, 特等奖, 部委级, 1998
（3） 湖南省自然科学优秀论文, 二等奖, 省级, 1997
出版信息
发表论文
[1] Yuan, Long, Hu, Qiya. A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS[J]. 2024, 第 2 作者 通讯作者 58(1): 1-22, http://dx.doi.org/10.1051/m2an/2023097.
[2] M2AN. 2024, 第 2 作者 通讯作者
[3] SIAM Journal on Numerical Analysis. 2024, 第 1 作者 通讯作者
[4] Wang, Zezhong, Hu, Qiya. A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2021, 第 2 作者 通讯作者 29(3): 767-801, https://www.webofscience.com/wos/woscc/full-record/WOS:000614555300005.
[5] 胡齐芽. CONVERGENCE OF THE HIPTMAIR–XU PRECONDITIONER FOR MAXWELL’S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION. SIAM J. NUMER. ANAL.. 2021, 第 1 作者
[6] Yuan, Long, Hu, Qiya. Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media. COMPUTERS & MATHEMATICS WITH APPLICATIONS[J]. 2021, 第 2 作者 通讯作者 97: 355-374, http://dx.doi.org/10.1016/j.camwa.2021.06.008.
[7] Hu, Qiya, Song, Rongrong. A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2020, 第 1 作者 通讯作者 58(5): 3091-3123, http://dx.doi.org/10.1137/19M1294101.
[8] Yuan, Long, Hu, Qiya. Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS[J]. 2020, 第 2 作者 通讯作者 97(4): 920-941, https://www.webofscience.com/wos/woscc/full-record/WOS:000470453000001.
[9] 刘阳, 李金, 胡齐芽, 贾祖朋, 余德浩. 边界元方法的一些研究进展. 计算数学[J]. 2020, 第 3 作者42(3): 310-348, http://lib.cqvip.com/Qikan/Article/Detail?id=7102636854.
[10] Hu, Qiya, Song, Rongrong. A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE[J]. 2019, 第 1 作者 通讯作者 53(1): 85-103, http://ir.amss.ac.cn/handle/2S8OKBNM/34258, http://www.irgrid.ac.cn/handle/1471x/6870875, http://ir.amss.ac.cn/handle/2S8OKBNM/34259, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000462999900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[11] Yuan, Long, Hu, Qiya. Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media. COMMUNICATIONSINCOMPUTATIONALPHYSICS[J]. 2019, 第 2 作者 通讯作者 25(5): 1496-1522, http://ir.amss.ac.cn/handle/2S8OKBNM/32302.
[12] Hu, Qiya, Guo, Xingyue, Liu, Yang, Zhou, Haijing. COUPLING METHOD OF PLANE WAVE DG AND BOUNDARY ELEMENT FOR ELECTROMAGNETIC SCATTERING. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2019, 第 1 作者16(4): 609-625, http://ir.amss.ac.cn/handle/2S8OKBNM/34424, http://www.irgrid.ac.cn/handle/1471x/6870880, http://ir.amss.ac.cn/handle/2S8OKBNM/34425, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000464613800005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[13] Hu, Qiya, Hu, Shaoliang. A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2019, 第 1 作者 通讯作者 45(3): 1129-1161, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000469315500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[14] Huang, Na, Dai, YuHong, Hu, QiYa. Uzawa methods for a class of block three-by-three saddle-point problems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS[J]. 2019, 第 3 作者26(6): http://ir.amss.ac.cn/handle/2S8OKBNM/35563, http://www.irgrid.ac.cn/handle/1471x/6870929, http://ir.amss.ac.cn/handle/2S8OKBNM/35564, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000485829600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[15] Hu, Qiya, Shu, Shi, Zou, Jun. A New Variational Approach for Inverse Source Problems. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2019, 第 1 作者12(2): 331-347, http://ir.amss.ac.cn/handle/2S8OKBNM/31887.
[16] Hu, Qiya, Yuan, Long. A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2018, 第 1 作者 通讯作者 44(1): 245-275,
[17] Yuan, Long, Hu, Qiya. Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS[J]. 2018, 第 2 作者344: 323-345, http://ir.amss.ac.cn/handle/2S8OKBNM/32726.
[18] Yuan, Long, Hu, Qiya. The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2018, 第 2 作者10(5): 1126-1157, http://ir.amss.ac.cn/handle/2S8OKBNM/32025.
[19] Hu, Qiya, Zhao, Lin. A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2018, 第 1 作者 通讯作者 11(3): 453-476, http://ir.amss.ac.cn/handle/2S8OKBNM/37587, http://www.irgrid.ac.cn/handle/1471x/6870971, http://ir.amss.ac.cn/handle/2S8OKBNM/37588.
[20] Hu, Qiya, Li, Xuan. NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2017, 第 1 作者 通讯作者 39(4): A1675-A1709, https://www.webofscience.com/wos/woscc/full-record/WOS:000408922600030.
[21] Hu, Qiya, Zhao, Lin. Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2017, 第 1 作者 通讯作者 22(4): 1069-1100, https://www.webofscience.com/wos/woscc/full-record/WOS:000405928100009.
[22] Hu, Qiya, Li, Xuan. EFFICIENT MULTILEVEL PRECONDITIONERS FOR THREE-DIMENSIONAL PLANE WAVE HELMHOLTZ SYSTEMS WITH LARGE WAVE NUMBERS. MULTISCALE MODELING & SIMULATION[J]. 2017, 第 1 作者 通讯作者 15(3): 1242-1266, https://www.webofscience.com/wos/woscc/full-record/WOS:000412162400007.
[23] Yuan, Long, Hu, Qiya, An, Hengbin. PARALLEL PRECONDITIONERS FOR PLANE WAVE HELMHOLTZ AND MAXWELL SYSTEMS WITH LARGE WAVE NUMBERS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2016, 第 2 作者13(5): 802-819, https://www.webofscience.com/wos/woscc/full-record/WOS:000395672100009.
[24] Hu, Qiya, Zhang, Haiyang. SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2016, 第 1 作者 通讯作者 38(4): A2232-A2261, https://www.webofscience.com/wos/woscc/full-record/WOS:000385283400014.
[25] 成娟, 莫则尧, 徐小文, 安恒斌, 胡齐芽. 自适应结构网格并行应用支撑软件框架研究2011年度报告. 科技创新导报[J]. 2016, 第 5 作者13(9): 161-162, http://lib.cqvip.com/Qikan/Article/Detail?id=669805501.
[26] Hu, Qiya, Liu, Chunmei, Shu, Shi, Zou, Jun. AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE[J]. 2015, 第 1 作者 通讯作者 49(3): 839-854,
[27] 袁龙, 胡齐芽. 复波数helmholtz方程和时谐maxwell方程组的平面波间断petrovgalerkin方法. 数值计算与计算机应用[J]. 2015, 第 2 作者36(3): 185, http://ir.amss.ac.cn/handle/2S8OKBNM/44249, http://www.irgrid.ac.cn/handle/1471x/6871094, http://ir.amss.ac.cn/handle/2S8OKBNM/44250.
[28] Hu, Qiya, Yuan, Long. A newton-penalty method for a simplified liquid crystal model. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2014, 第 1 作者 通讯作者 40(1): 201-244, https://www.webofscience.com/wos/woscc/full-record/WOS:000330718300010.
[29] Hu, Qiya, Yuan, Long. A PLANE-WAVE LEAST-SQUARES METHOD FOR TIME-HARMONIC MAXWELL'S EQUATIONS IN ABSORBING MEDIA. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2014, 第 1 作者 通讯作者 36(4): A1937-A1959, https://www.webofscience.com/wos/woscc/full-record/WOS:000344743800041.
[30] Hu, Qiya, Yuan, Long. A WEIGHTED VARIATIONAL FORMULATION BASED ON PLANE WAVE BASIS FOR DISCRETIZATION OF HELMHOLTZ EQUATIONS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2014, 第 1 作者 通讯作者 11(3): 587-607, https://www.webofscience.com/wos/woscc/full-record/WOS:000343624400008.
[31] Chen, Xingding, Hu, Qiya, Xiao, Junmin. On the enhanced strain finite element method for incompressible linear elasticity. APPLIED NUMERICAL MATHEMATICS[J]. 2013, 第 2 作者 通讯作者 72: 131-142, https://www.webofscience.com/wos/woscc/full-record/WOS:000324656400009.
[32] Xiao, Junmin, Hu, Qiya. Multilevel correction for collocation solutions of Volterra integral equations with proportional delays. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2013, 第 2 作者 通讯作者 39(3-4): 611-644, https://www.webofscience.com/wos/woscc/full-record/WOS:000325612300008.
[33] 胡齐芽. A discrete weighted Helmholtz decomposition and its Applications. Numer. Math.. 2013, 第 1 作者
[34] Hu, Qiya, Shu, Shi, Zou, Jun. A discrete weighted Helmholtz decomposition and its application. NUMERISCHE MATHEMATIK[J]. 2013, 第 1 作者125(1): 153-189, https://www.webofscience.com/wos/woscc/full-record/WOS:000323288800006.
[35] Sun, Pengtao, Zhou, Su, Hu, Qiya. An Effective Combined Finite Element-Upwind Finite Volume Method for a Transient Multiphysics Two-Phase Transport Model of a Proton Exchange Membrane Fuel Cell. JOURNAL OF FUEL CELL SCIENCE AND TECHNOLOGY[J]. 2013, 第 3 作者10(3): https://www.webofscience.com/wos/woscc/full-record/WOS:000326097500004.
[36] Yuan, Long, Hu, Qiya. A Solver for Helmholtz System Generated by the Discretization of Wave Shape Functions. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2013, 第 2 作者 通讯作者 5(6): 791-808, https://www.webofscience.com/wos/woscc/full-record/WOS:000334927900002.
[37] Sun, Pengtao, Zhou, Su, Hu, Qiya, Liang, Guoping. Numerical Study of a 3D Two-Phase PEM Fuel Cell Model Via a Novel Automated Finite Element/Finite Volume Program Generator. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2012, 第 3 作者11(1): 65-98, https://www.webofscience.com/wos/woscc/full-record/WOS:000301923300004.
[38] Sun, Pengtao, Zhou, Su, Hu, Qiya, Liang, Guoping. Numerical Study of a 3D Two-Phase PEM Fuel Cell Model Via a Novel Automated Finite Element/Finite Volume Program Generator. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2012, 第 3 作者11(1): 65-98, https://www.webofscience.com/wos/woscc/full-record/WOS:000301923300004.
[39] Zheng, Bin, Hu, Qiya, Xu, Jinchao. A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3. MATHEMATICS OF COMPUTATION[J]. 2011, 第 2 作者80(276): 1871-1886, https://www.webofscience.com/wos/woscc/full-record/WOS:000295194300001.
[40] Chen, Xingding, Hu, Qiya. INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2011, 第 2 作者8(1): 156-173, https://www.webofscience.com/wos/woscc/full-record/WOS:000285650400009.
[41] Hu QiYa, Yu DeHao. A preconditioner for a kind of coupled FEM-BEM variational inequality. SCIENCE CHINA-MATHEMATICS[J]. 2010, 第 1 作者 通讯作者 53(11): 2811-2830, http://ir.amss.ac.cn/handle/2S8OKBNM/44398, http://www.irgrid.ac.cn/handle/1471x/6871098, http://ir.amss.ac.cn/handle/2S8OKBNM/44399.
[42] Hu, Qiya, Shu, Shi, Wang, Junxian. NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS. MATHEMATICS OF COMPUTATION[J]. 2010, 第 1 作者 通讯作者 79(272): 2059-2078, https://www.webofscience.com/wos/woscc/full-record/WOS:000282140500006.
[43] 王俊仙, 胡齐芽, 舒适. 一种求解H（curl）型椭圆问题的非重叠DDM预条件子. 计算数学[J]. 2010, 第 2 作者373, http://lib.cqvip.com/Qikan/Article/Detail?id=36175520.
[44] 胡齐芽, 余德浩. 一类耦合的有限元边界元变分不等式的预条件子. 中国科学数学[J]. 2010, 第 1 作者40(12): 1205, http://ir.amss.ac.cn/handle/2S8OKBNM/37808, http://www.irgrid.ac.cn/handle/1471x/6870976, http://ir.amss.ac.cn/handle/2S8OKBNM/37809.
[45] 胡齐芽, 余德浩. 一类耦合的有限元-边界元变分不等式的预条件子 谨以此文致《中国科学》创刊六十周年. 中国科学:数学[J]. 2010, 第 1 作者1205-1224, http://lib.cqvip.com/Qikan/Article/Detail?id=36230329.
[46] Hu, Qiya, Tai, XueCheng, Winther, Ragnar. A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2009, 第 1 作者 通讯作者 47(2): 1500-1523, https://www.webofscience.com/wos/woscc/full-record/WOS:000265778900029.
[47] 王俊仙, 胡齐芽, 舒适. 求解Maxwell线性元鞍点系统的基于HX预条件子的Uzawa算法. 数值计算与计算机应用[J]. 2009, 第 2 作者305, http://lib.cqvip.com/Qikan/Article/Detail?id=32528763.
[48] Hu, Qiya. Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2008, 第 1 作者 通讯作者 1(4): 383-409, http://lib.cqvip.com/Qikan/Article/Detail?id=28988106.
[49] Hu, Qiya, Shu, Shi, Zou, Jun. A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations. MATHEMATICS OF COMPUTATION[J]. 2008, 第 1 作者 通讯作者 77(263): 1333-1353, https://www.webofscience.com/wos/woscc/full-record/WOS:000257559400006.
[50] Hu, Qiya. A regularized domain decomposition method with Lagrange multiplier. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2007, 第 1 作者26(4): 367-401, https://www.webofscience.com/wos/woscc/full-record/WOS:000245007600001.
[51] Yang Jue, Hu Qiya, Yu Dehao. DOMAIN DECOMPOSITION WITH NON-MATCHING GRIDS FOR COUPLING OF FEM AND NATURAL BEM. 系统科学与复杂性：英文版[J]. 2005, 第 2 作者18(4): 529-542, http://lib.cqvip.com/Qikan/Article/Detail?id=20430476.
[52] Hu Qiya, Liang Guoping, Liu Jinzhao. A PRECONDITIONER FOR THREE－DIMENSIONAL DOMAIN DECOMPOSITION METHODS WITH LAGRANGE MULTIPLIERS. 系统科学与复杂性：英文版[J]. 2003, 第 1 作者16(4): 513-526, http://lib.cqvip.com/Qikan/Article/Detail?id=8507455.
[53] Hu, QY, Zou, J. Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems. NUMERISCHE MATHEMATIK[J]. 2002, 93(2): 333-359, https://www.webofscience.com/wos/woscc/full-record/WOS:000180034100006.
[54] 胡齐芽, 梁国平. 抛物问题的拉格朗日乘水区域分解法. 计算数学[J]. 2000, 第 1 作者22(2): 241-256, http://lib.cqvip.com/Qikan/Article/Detail?id=4469907.
[55] 胡齐芽. 积分算子方程的连续型配置方法. 计算数学[J]. 1998, 第 1 作者20(3): 261, http://lib.cqvip.com/Qikan/Article/Detail?id=3089471.
[56] 胡齐芽. 某些奇异积分方程配置解的高阶“插值”. 高等学校计算数学学报[J]. 1998, 第 1 作者20(3): 273, http://lib.cqvip.com/Qikan/Article/Detail?id=3297407.
[57] 梁国平, 胡齐芽. Lagrangian乘子区域分解法的一类预条件子. 计算数学[J]. 1998, 第 2 作者20(2): 201, http://lib.cqvip.com/Qikan/Article/Detail?id=3019303.
[58] 胡齐芽. 多滞量积分方程基于高阶插值的分步配置方法. 计算数学[J]. 1997, 第 1 作者19(4): 353, http://lib.cqvip.com/Qikan/Article/Detail?id=2859636.
[2] M2AN. 2024, 第 2 作者 通讯作者
[3] SIAM Journal on Numerical Analysis. 2024, 第 1 作者 通讯作者
[4] Wang, Zezhong, Hu, Qiya. A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2021, 第 2 作者 通讯作者 29(3): 767-801, https://www.webofscience.com/wos/woscc/full-record/WOS:000614555300005.
[5] 胡齐芽. CONVERGENCE OF THE HIPTMAIR–XU PRECONDITIONER FOR MAXWELL’S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION. SIAM J. NUMER. ANAL.. 2021, 第 1 作者
[6] Yuan, Long, Hu, Qiya. Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media. COMPUTERS & MATHEMATICS WITH APPLICATIONS[J]. 2021, 第 2 作者 通讯作者 97: 355-374, http://dx.doi.org/10.1016/j.camwa.2021.06.008.
[7] Hu, Qiya, Song, Rongrong. A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2020, 第 1 作者 通讯作者 58(5): 3091-3123, http://dx.doi.org/10.1137/19M1294101.
[8] Yuan, Long, Hu, Qiya. Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS[J]. 2020, 第 2 作者 通讯作者 97(4): 920-941, https://www.webofscience.com/wos/woscc/full-record/WOS:000470453000001.
[9] 刘阳, 李金, 胡齐芽, 贾祖朋, 余德浩. 边界元方法的一些研究进展. 计算数学[J]. 2020, 第 3 作者42(3): 310-348, http://lib.cqvip.com/Qikan/Article/Detail?id=7102636854.
[10] Hu, Qiya, Song, Rongrong. A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE[J]. 2019, 第 1 作者 通讯作者 53(1): 85-103, http://ir.amss.ac.cn/handle/2S8OKBNM/34258, http://www.irgrid.ac.cn/handle/1471x/6870875, http://ir.amss.ac.cn/handle/2S8OKBNM/34259, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000462999900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[11] Yuan, Long, Hu, Qiya. Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media. COMMUNICATIONSINCOMPUTATIONALPHYSICS[J]. 2019, 第 2 作者 通讯作者 25(5): 1496-1522, http://ir.amss.ac.cn/handle/2S8OKBNM/32302.
[12] Hu, Qiya, Guo, Xingyue, Liu, Yang, Zhou, Haijing. COUPLING METHOD OF PLANE WAVE DG AND BOUNDARY ELEMENT FOR ELECTROMAGNETIC SCATTERING. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2019, 第 1 作者16(4): 609-625, http://ir.amss.ac.cn/handle/2S8OKBNM/34424, http://www.irgrid.ac.cn/handle/1471x/6870880, http://ir.amss.ac.cn/handle/2S8OKBNM/34425, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000464613800005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[13] Hu, Qiya, Hu, Shaoliang. A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2019, 第 1 作者 通讯作者 45(3): 1129-1161, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000469315500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[14] Huang, Na, Dai, YuHong, Hu, QiYa. Uzawa methods for a class of block three-by-three saddle-point problems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS[J]. 2019, 第 3 作者26(6): http://ir.amss.ac.cn/handle/2S8OKBNM/35563, http://www.irgrid.ac.cn/handle/1471x/6870929, http://ir.amss.ac.cn/handle/2S8OKBNM/35564, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000485829600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[15] Hu, Qiya, Shu, Shi, Zou, Jun. A New Variational Approach for Inverse Source Problems. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2019, 第 1 作者12(2): 331-347, http://ir.amss.ac.cn/handle/2S8OKBNM/31887.
[16] Hu, Qiya, Yuan, Long. A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2018, 第 1 作者 通讯作者 44(1): 245-275,
[17] Yuan, Long, Hu, Qiya. Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS[J]. 2018, 第 2 作者344: 323-345, http://ir.amss.ac.cn/handle/2S8OKBNM/32726.
[18] Yuan, Long, Hu, Qiya. The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2018, 第 2 作者10(5): 1126-1157, http://ir.amss.ac.cn/handle/2S8OKBNM/32025.
[19] Hu, Qiya, Zhao, Lin. A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2018, 第 1 作者 通讯作者 11(3): 453-476, http://ir.amss.ac.cn/handle/2S8OKBNM/37587, http://www.irgrid.ac.cn/handle/1471x/6870971, http://ir.amss.ac.cn/handle/2S8OKBNM/37588.
[20] Hu, Qiya, Li, Xuan. NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2017, 第 1 作者 通讯作者 39(4): A1675-A1709, https://www.webofscience.com/wos/woscc/full-record/WOS:000408922600030.
[21] Hu, Qiya, Zhao, Lin. Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2017, 第 1 作者 通讯作者 22(4): 1069-1100, https://www.webofscience.com/wos/woscc/full-record/WOS:000405928100009.
[22] Hu, Qiya, Li, Xuan. EFFICIENT MULTILEVEL PRECONDITIONERS FOR THREE-DIMENSIONAL PLANE WAVE HELMHOLTZ SYSTEMS WITH LARGE WAVE NUMBERS. MULTISCALE MODELING & SIMULATION[J]. 2017, 第 1 作者 通讯作者 15(3): 1242-1266, https://www.webofscience.com/wos/woscc/full-record/WOS:000412162400007.
[23] Yuan, Long, Hu, Qiya, An, Hengbin. PARALLEL PRECONDITIONERS FOR PLANE WAVE HELMHOLTZ AND MAXWELL SYSTEMS WITH LARGE WAVE NUMBERS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2016, 第 2 作者13(5): 802-819, https://www.webofscience.com/wos/woscc/full-record/WOS:000395672100009.
[24] Hu, Qiya, Zhang, Haiyang. SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2016, 第 1 作者 通讯作者 38(4): A2232-A2261, https://www.webofscience.com/wos/woscc/full-record/WOS:000385283400014.
[25] 成娟, 莫则尧, 徐小文, 安恒斌, 胡齐芽. 自适应结构网格并行应用支撑软件框架研究2011年度报告. 科技创新导报[J]. 2016, 第 5 作者13(9): 161-162, http://lib.cqvip.com/Qikan/Article/Detail?id=669805501.
[26] Hu, Qiya, Liu, Chunmei, Shu, Shi, Zou, Jun. AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE[J]. 2015, 第 1 作者 通讯作者 49(3): 839-854,
[27] 袁龙, 胡齐芽. 复波数helmholtz方程和时谐maxwell方程组的平面波间断petrovgalerkin方法. 数值计算与计算机应用[J]. 2015, 第 2 作者36(3): 185, http://ir.amss.ac.cn/handle/2S8OKBNM/44249, http://www.irgrid.ac.cn/handle/1471x/6871094, http://ir.amss.ac.cn/handle/2S8OKBNM/44250.
[28] Hu, Qiya, Yuan, Long. A newton-penalty method for a simplified liquid crystal model. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2014, 第 1 作者 通讯作者 40(1): 201-244, https://www.webofscience.com/wos/woscc/full-record/WOS:000330718300010.
[29] Hu, Qiya, Yuan, Long. A PLANE-WAVE LEAST-SQUARES METHOD FOR TIME-HARMONIC MAXWELL'S EQUATIONS IN ABSORBING MEDIA. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2014, 第 1 作者 通讯作者 36(4): A1937-A1959, https://www.webofscience.com/wos/woscc/full-record/WOS:000344743800041.
[30] Hu, Qiya, Yuan, Long. A WEIGHTED VARIATIONAL FORMULATION BASED ON PLANE WAVE BASIS FOR DISCRETIZATION OF HELMHOLTZ EQUATIONS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2014, 第 1 作者 通讯作者 11(3): 587-607, https://www.webofscience.com/wos/woscc/full-record/WOS:000343624400008.
[31] Chen, Xingding, Hu, Qiya, Xiao, Junmin. On the enhanced strain finite element method for incompressible linear elasticity. APPLIED NUMERICAL MATHEMATICS[J]. 2013, 第 2 作者 通讯作者 72: 131-142, https://www.webofscience.com/wos/woscc/full-record/WOS:000324656400009.
[32] Xiao, Junmin, Hu, Qiya. Multilevel correction for collocation solutions of Volterra integral equations with proportional delays. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2013, 第 2 作者 通讯作者 39(3-4): 611-644, https://www.webofscience.com/wos/woscc/full-record/WOS:000325612300008.
[33] 胡齐芽. A discrete weighted Helmholtz decomposition and its Applications. Numer. Math.. 2013, 第 1 作者
[34] Hu, Qiya, Shu, Shi, Zou, Jun. A discrete weighted Helmholtz decomposition and its application. NUMERISCHE MATHEMATIK[J]. 2013, 第 1 作者125(1): 153-189, https://www.webofscience.com/wos/woscc/full-record/WOS:000323288800006.
[35] Sun, Pengtao, Zhou, Su, Hu, Qiya. An Effective Combined Finite Element-Upwind Finite Volume Method for a Transient Multiphysics Two-Phase Transport Model of a Proton Exchange Membrane Fuel Cell. JOURNAL OF FUEL CELL SCIENCE AND TECHNOLOGY[J]. 2013, 第 3 作者10(3): https://www.webofscience.com/wos/woscc/full-record/WOS:000326097500004.
[36] Yuan, Long, Hu, Qiya. A Solver for Helmholtz System Generated by the Discretization of Wave Shape Functions. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2013, 第 2 作者 通讯作者 5(6): 791-808, https://www.webofscience.com/wos/woscc/full-record/WOS:000334927900002.
[37] Sun, Pengtao, Zhou, Su, Hu, Qiya, Liang, Guoping. Numerical Study of a 3D Two-Phase PEM Fuel Cell Model Via a Novel Automated Finite Element/Finite Volume Program Generator. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2012, 第 3 作者11(1): 65-98, https://www.webofscience.com/wos/woscc/full-record/WOS:000301923300004.
[38] Sun, Pengtao, Zhou, Su, Hu, Qiya, Liang, Guoping. Numerical Study of a 3D Two-Phase PEM Fuel Cell Model Via a Novel Automated Finite Element/Finite Volume Program Generator. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2012, 第 3 作者11(1): 65-98, https://www.webofscience.com/wos/woscc/full-record/WOS:000301923300004.
[39] Zheng, Bin, Hu, Qiya, Xu, Jinchao. A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3. MATHEMATICS OF COMPUTATION[J]. 2011, 第 2 作者80(276): 1871-1886, https://www.webofscience.com/wos/woscc/full-record/WOS:000295194300001.
[40] Chen, Xingding, Hu, Qiya. INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2011, 第 2 作者8(1): 156-173, https://www.webofscience.com/wos/woscc/full-record/WOS:000285650400009.
[41] Hu QiYa, Yu DeHao. A preconditioner for a kind of coupled FEM-BEM variational inequality. SCIENCE CHINA-MATHEMATICS[J]. 2010, 第 1 作者 通讯作者 53(11): 2811-2830, http://ir.amss.ac.cn/handle/2S8OKBNM/44398, http://www.irgrid.ac.cn/handle/1471x/6871098, http://ir.amss.ac.cn/handle/2S8OKBNM/44399.
[42] Hu, Qiya, Shu, Shi, Wang, Junxian. NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS. MATHEMATICS OF COMPUTATION[J]. 2010, 第 1 作者 通讯作者 79(272): 2059-2078, https://www.webofscience.com/wos/woscc/full-record/WOS:000282140500006.
[43] 王俊仙, 胡齐芽, 舒适. 一种求解H（curl）型椭圆问题的非重叠DDM预条件子. 计算数学[J]. 2010, 第 2 作者373, http://lib.cqvip.com/Qikan/Article/Detail?id=36175520.
[44] 胡齐芽, 余德浩. 一类耦合的有限元边界元变分不等式的预条件子. 中国科学数学[J]. 2010, 第 1 作者40(12): 1205, http://ir.amss.ac.cn/handle/2S8OKBNM/37808, http://www.irgrid.ac.cn/handle/1471x/6870976, http://ir.amss.ac.cn/handle/2S8OKBNM/37809.
[45] 胡齐芽, 余德浩. 一类耦合的有限元-边界元变分不等式的预条件子 谨以此文致《中国科学》创刊六十周年. 中国科学:数学[J]. 2010, 第 1 作者1205-1224, http://lib.cqvip.com/Qikan/Article/Detail?id=36230329.
[46] Hu, Qiya, Tai, XueCheng, Winther, Ragnar. A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2009, 第 1 作者 通讯作者 47(2): 1500-1523, https://www.webofscience.com/wos/woscc/full-record/WOS:000265778900029.
[47] 王俊仙, 胡齐芽, 舒适. 求解Maxwell线性元鞍点系统的基于HX预条件子的Uzawa算法. 数值计算与计算机应用[J]. 2009, 第 2 作者305, http://lib.cqvip.com/Qikan/Article/Detail?id=32528763.
[48] Hu, Qiya. Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2008, 第 1 作者 通讯作者 1(4): 383-409, http://lib.cqvip.com/Qikan/Article/Detail?id=28988106.
[49] Hu, Qiya, Shu, Shi, Zou, Jun. A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations. MATHEMATICS OF COMPUTATION[J]. 2008, 第 1 作者 通讯作者 77(263): 1333-1353, https://www.webofscience.com/wos/woscc/full-record/WOS:000257559400006.
[50] Hu, Qiya. A regularized domain decomposition method with Lagrange multiplier. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2007, 第 1 作者26(4): 367-401, https://www.webofscience.com/wos/woscc/full-record/WOS:000245007600001.
[51] Yang Jue, Hu Qiya, Yu Dehao. DOMAIN DECOMPOSITION WITH NON-MATCHING GRIDS FOR COUPLING OF FEM AND NATURAL BEM. 系统科学与复杂性：英文版[J]. 2005, 第 2 作者18(4): 529-542, http://lib.cqvip.com/Qikan/Article/Detail?id=20430476.
[52] Hu Qiya, Liang Guoping, Liu Jinzhao. A PRECONDITIONER FOR THREE－DIMENSIONAL DOMAIN DECOMPOSITION METHODS WITH LAGRANGE MULTIPLIERS. 系统科学与复杂性：英文版[J]. 2003, 第 1 作者16(4): 513-526, http://lib.cqvip.com/Qikan/Article/Detail?id=8507455.
[53] Hu, QY, Zou, J. Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems. NUMERISCHE MATHEMATIK[J]. 2002, 93(2): 333-359, https://www.webofscience.com/wos/woscc/full-record/WOS:000180034100006.
[54] 胡齐芽, 梁国平. 抛物问题的拉格朗日乘水区域分解法. 计算数学[J]. 2000, 第 1 作者22(2): 241-256, http://lib.cqvip.com/Qikan/Article/Detail?id=4469907.
[55] 胡齐芽. 积分算子方程的连续型配置方法. 计算数学[J]. 1998, 第 1 作者20(3): 261, http://lib.cqvip.com/Qikan/Article/Detail?id=3089471.
[56] 胡齐芽. 某些奇异积分方程配置解的高阶“插值”. 高等学校计算数学学报[J]. 1998, 第 1 作者20(3): 273, http://lib.cqvip.com/Qikan/Article/Detail?id=3297407.
[57] 梁国平, 胡齐芽. Lagrangian乘子区域分解法的一类预条件子. 计算数学[J]. 1998, 第 2 作者20(2): 201, http://lib.cqvip.com/Qikan/Article/Detail?id=3019303.
[58] 胡齐芽. 多滞量积分方程基于高阶插值的分步配置方法. 计算数学[J]. 1997, 第 1 作者19(4): 353, http://lib.cqvip.com/Qikan/Article/Detail?id=2859636.
科研活动
科研项目
（ 1 ） 对平面波离散化方法的进一步研究, 主持, 国家级, 2016-01--2019-12
（ 2 ） 适用于千亿次的高性能计算方法, 参与, 国家级, 2010-10--2015-09
（ 3 ） 变波数亥姆霍兹方程和时谐麦克斯韦方程组的平面波型方法研究, 主持, 国家级, 2021-01--2024-12
（ 2 ） 适用于千亿次的高性能计算方法, 参与, 国家级, 2010-10--2015-09
（ 3 ） 变波数亥姆霍兹方程和时谐麦克斯韦方程组的平面波型方法研究, 主持, 国家级, 2021-01--2024-12
合作情况
多次出访美国、加拿大、挪威、香港等地的知名大学, 与国际同行建立了良好的合作关系。
指导学生
已指导学生
陈星玎 博士研究生 070102-计算数学
肖俊敏 博士研究生 070102-计算数学
袁龙 博士研究生 070102-计算数学
张海洋 博士研究生 070102-计算数学
李璇 博士研究生 070102-计算数学
胡少亮 博士研究生 070102-计算数学
赵林 博士研究生 070102-计算数学
宋荣荣 博士研究生 070102-计算数学
王泽中 博士研究生 070102-计算数学
杨鹏飞 博士研究生 070102-计算数学
现指导学生
王丽绮 博士研究生 070102-计算数学
李冠达 硕士研究生 070102-计算数学
李子逸 博士研究生 070102-计算数学