袁龙
邮箱：sdbjbjsd@163.com  

个人信息
性别：男      籍贯：山东省曲阜市   政治面貌：中共党员

教育背景

2009.07–2014.07  中国科学院数学与系统科学研究院计算数学所  区域分解与并行计算专业（计算数学） 硕博连读   导师： 胡齐芽研究员
2005.09–2009.07  ky开元集团      信息与计算科学专业             理学学士  

工作经历                                                          

2019.1–至今    ky开元集团，数学与系统科学学院，副教授，偏微分方程高精度高效数值求解

2019.09–2020.09  美国科罗拉多大学博尔德校区计算机学院，国家公派访问学者，合作导师：蔡小川教授

2016.03–2018.12  ky开元集团，数学与系统科学学院，讲师，研究方向：声波方程和电磁场方程组的高精度间断有限元算法和高效求解器（并行区域分解解法器）

2014.09–2016.03  中国电子科技集团公司第四十一研究所，工程师，负责测试信息化

2014.07–2014.09  北京应用物理与计算数学研究所/高性能数值模拟软件中心，助理研究员，负责区域分解算法的并行化实现

研究方向                                                         
波动方程高精度高效数值求解；Trefftz方法；间断神经网络；非匹配有限元

主持或参与项目                                                         

7.  2024年度山东省自然科学基金面上项目，3维各向异性电磁场方程组的Trefftz离散及其解法器研究，项目批准号ZR2024MA059，在研，主持

6.  2020年度山东省自然科学基金面上项目，3维电磁场方程组的Trefftz离散系统关键技术研究，项目批准号ZR2020MA046，已结题，主持

5.  2015年度国家自然科学基金青年基金，基于间断petrov有限元的Trefftz方法及其在雷达散射截面中的应用，项目批准号11501529，已结题，主持

4.  2016年度青岛市源头创新计划（应用研究专项-青年专项），平面波间断Petrov有限元方法及其在超高声速目标散射中的应用，项目批准号17-1-1-9-jch，已结题，主持

3.  中国电子科技集团公司装备预先研究项目，201562401050401，信息装备交互式智能检测集成技术，已结题，主持

2.  国家自然科学基金重大研究计划（培育项目），91130015，求解电磁散射问题的一类新型有限元方法，已结题，参与

1.  2010.7 – 2010.8  应邀参加香港中文大学举办的内地研究生暑期研究体验计划并获得结业证书

发表或接受论文

27. Long Yuan* and Menghui Wu, A combined method based on PWDG and local spectral element methods for the nonhomogeneous Helmholtz equation and Maxwell equations in anisotropic media, Applicable analysis, doi: 10.1080/00036811.2025.2531079, 2025.

26. Long Yuan and Qiya Hu*, A discontinuous plane wave neural network method for Helmholtz equation and Maxwell's equations, Advances in Computational Mathematics, accepted for publication, 31 pages, 2025.

25. Long Yuan*, Xiaoyu Wang and Xiao-qiang Yue, A space-time Trefftz dG method for the second order time-dependent Maxwell system in anisotropic media, Journal of Computational Mathematics,  doi:10.4208/jcm.2410-m2024-0141, 33 pages, 2024.

24. Long Yuan and Xiao-Qiang Yue*, A global space-time Trefftz DG scheme for the time-dependent isotropic elastic wave equations, Journal of Computational and Applied Mathematics, 450(2024): 115931.

23. Long Yuan* and Qiya Hu*, A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix, ESAIM-Mathematical Modelling and Numerical Analysis, 58 (2024), pp. 1-22.

22. Long Yuan* and Wenxiu Gong, A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media, Mathematics and Computers in Simulation, 211(2023), pp. 445-469.

21. Long Yuan*, Global space-time Trefftz DG schemes for the time-dependent linear wave equation, Computers & Mathematics with Applications, 131(2023), pp. 82-102.

20. Long Yuan*, A Generalized Plane Wave Discontinuous Galerkin Method for three-dimensional anisotropic Helmholtz equations with variable wave numbers, Applied Mathematics Letters, 123(2022), Article ID: 107595.

19. Long Yuan and Qiya Hu*, Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in Anisotropic Media, Computers & Mathematics with Applications, 97(2021), pp.  355-374.

18. Long Yuan*, Shuai Xi and Binlin Zhang, The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients, Advances in Applied Mathematics and Mechanics, 2021, 13(5): 1169-1202.

17. Long Yuan*, A Plane Wave Least Squares method for the Maxwell equations in Anisotropic Media, Numerical Algorithms, 2021, 87: 873–894.

16. Long Yuan*, A combined scheme of the local spectral element method and the generalized plane wave discontinuous Galerkin method for the anisotropic Helmholtz Equation, Applied Numerical Mathematics, 2020, 150: 341-360.

15. Long Yuan and Qiya Hu*, Generalized Plane Wave Discontinuous Galerkin Methods for nonhomogeneous Helmholtz equations with variable wave numbers, International Journal of Computer Mathematics, 2020, 97(4): 920-941.

14. Long Yuan*, The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the wave propagation in Anisotropic Media, Numerical Mathematics: Theory, Methods and Applications, 2019, 12(2) : 517-546.

13. Long Yuan and Qiya Hu*, Error analysis of the plane wave discontinuous Galerkin method for Maxwell's equations in anisotropic Media, Communications in Computational Physics, 2019, 25(5):1496-1522.

12. Long Yuan* and Yang Liu, A Trefftz Discontinuous Galerkin Method for Time-Harmonic Elastic Wave Problems, Computational and Applied Mathematics, 2019, 38(3), DOI: 10.1007/s40314-019-0900-y.

11. Qiya Hu* and Long Yuan*, A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz and time-harmonic Maxwell equations, Advances in Computational Mathematics, 2018, 44(1): 245-275. ESI高被引论文

10. Long Yuan* and Qiya Hu, 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, 2018, 344: 323-345.

9. Long Yuan* and Qiya Hu, The Plane Wave Methods Combined with Local Spectral Finite Elements for the wave propagation in Anisotropic Media, Advances in Applied Mathematics and Mechanics, 2018, 10(5): 1126-1157.

8. Long Yuan*, Qiya Hu and Hengbin An, Parallel Preconditioners for Plane Wave Helmholtz and Maxwell Systems with Large Wave Numbers, International Journal of Numerical Analysis and Modeling, 2016, 13(5): 802-819.

7. Qiya Hu* and Long Yuan, A plane-wave least-squares method for time-harmonic Maxwell’s equations in absorbing media, SIAM Journal on Scientific Computing, 2014, 36(4): A1937-A1959.博士期间工作

6. Qiya Hu* and Long Yuan, A newton-penalty method for a simplified liquid crystal model, Advances in Computational Mathematics, 2014, 40(1): 201-244.博士期间工作

5. Qiya Hu* and Long Yuan, A weighted variational formulation based on plane wave basis for discretization of Helmholtz equations. International Journal of Numerical Analysis and Modeling, 2014, 11(3): 587-607.博士期间工作

4. Long Yuan and Qiya Hu*, A solver for Helmholtz system generated by the discretization of wave shape functions, Advances in Applied Mathematics and Mechanics, 2013, 5(6): 791-808. 博士期间工作

3. 袁龙*, 胡齐芽, 复波数Helmholtz方程和时谐Maxwell方程组的平面波间断Petrov-Galerkin方法, 《数值计算与计算机应用》, 2015, 26(3): 185-196. CSCD收录

2. 袁龙*, 赵茂先，基于Matlab求解时谐复系数弹性波方程的平面波最小二乘法，《实验技术与管理》，2020, 37(8): 88-91.

1. 袁龙*, 赵茂先，基于Matlab求解时谐复系数弹性波方程的超弱变分方法，《力学与实践》，2021，43(2), pp. 289-293.

投稿论文                                                       

4. Long Yuan*, A framework of discontinuous Galerkin neural networks for approximating residual loss functional, manuscript, 2025.

3. Long Yuan*, An unfitted PWDG method for time-harmonic Helmholtz interface problems, manuscript, 2025.

2. Xiaoyu Wang, Long Yuan* and Yao Yu, Discontinuous hybrid neural networks for solving the partial differential equations, under review, 2025.

1. Long Yuan*, Menghui Wu and Qiya Hu, A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations, 29 pages, under review, 2025.

获奖情况                                                           

2.  2018年青岛西海岸新区第三批高层次人才紧缺人才称号

1.  中国科学院院长奖学金优秀奖

其他

6. 2024年5月受邀参加由四位教授Barucq、Imbert-Gerard、Perugia、Selgas组织的国际会议“Contemporary Challenges in Trefftz Methods, from Theory to Applications, in Oaxaca, May 12-17”。网址：https://www.birs.ca/events/2024/5-day-workshops/24w5218/participants.

5.  2020年10月28日接受计算数学国际顶尖刊物SIAM Journal on Numerical Analysis (SINUM)副编委邀请，成为该期刊的独立审稿人，并为其审稿

4. 参加第十一、十三届计算数学年会并作分会场报告

3. 熟悉PHG、JASMIN、PETSc、C/C++、Fortran、Matlab、CVI

2. 讲授高等数学、线性代数、概率论与数理统计、离散数学、偏微分方程数值解等本科课程，及科学计算研究生课程

1. 参加香港中文大学举办的内地研究生暑期研究体验计划，香港中文大学（合作导师：邹军教授），2010-7-1至2010-8-30