刘东杰
刘东杰,教授,liudj@shu.edu.cn
研究领域:微分方程数值解法、有限元、边界元方法。
教育经历和工作经历:
2019.03-至今, 永利数学系,教授;
2019.12, 美国布朗大学,访问学者;
2017.2-2017.3, 德国波恩大学,访问学者;
2013.03-2019.03, 永利数学系,副教授;
2012.3-2013.3, 德国洪堡大学数学系,访问学者;
2008.07-2013.03, 永利数学系,讲师;
2008.07, 中国科学院数学与系统科学研究院,博士。
代表性科研项目:
国家自然科学基金面上项目,11571226,自适应人工边界方法及其在非线性问题中的应用,主持已结题。
国家自然科学基金青年基金,11001168,人工边界法在非线性外问题中的应用,主持已结题。
代表性学术论文:
[1] D. J. Liu*, Z. R. Chen, The adaptive finite element method for the P-Laplace problem, Applied Numerical Mathematics,152, 323-337, 2020.
[2] C. Carstensen,D. J. Liu*,J. Alberty,Convergence of dG(1) in elastoplastic evolution,Numerische Mathematik,141(3), 715-742,2019.
[3] D. J. Liu*, A. Q. Li , Z. R. Chen, Nonconforming FEMs for the p-Laplace Problem, Adv. Appl. Math. Mech., 10(6), 1365-1383, 2018.
[4] C. S. Liu, D. J. Liu*,A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation, Engineering Analysis with Boundary Elements,86, 56-63, 2018.
[5] D. J. Liu*, D. D. Jiang, Y. Liu, Q. Q. Xia, Stabilized FEM for Some Optimal Design Problem, Journal of Scientific Computing, 73(1), 228-241, 2017.
[6] D. J. Liu, J. M. Wu,X. P. Zhang,The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval, J. Comput. Appl. Math., 325, 165-174, 2017.
[7] C. S. Liu, D. J. Liu*,W. S. Jhao,Solving a singular beam equation by using a weak-form integral equation method,Appl. Math. Lett.,64,51-58,2017.
[8] C. Carstensen, D. J. Liu*, Nonconforming fems for an optimal design problem, SIAM J. Numer. Anal., 53, 874-894, 2015.
[9] D. J. Liu, X. P. Zhang, J. M. Wu, A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis, Appl. Math. Comput., 219, 5198-5209, 2013.
[10] D. J. Liu, J. M. Wu, D. H. Yu, The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals,J. Comput. Appl. Math., 235, 696-707, 2010.
[11] D. J. Liu*, D. H. Yu, A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane, J. Comput. Math., 26, 378-389, 2008.
(最后更新日期:2021.5.12)
刘东杰
刘东杰,教授,liudj@shu.edu.cn
研究领域:微分方程数值解法、有限元、边界元方法。
教育经历和工作经历:
2019.03-至今, 永利数学系,教授;
2019.12, 美国布朗大学,访问学者;
2017.2-2017.3, 德国波恩大学,访问学者;
2013.03-2019.03, 永利数学系,副教授;
2012.3-2013.3, 德国洪堡大学数学系,访问学者;
2008.07-2013.03, 永利数学系,讲师;
2008.07, 中国科学院数学与系统科学研究院,博士。
代表性科研项目:
国家自然科学基金面上项目,11571226,自适应人工边界方法及其在非线性问题中的应用,主持已结题。
国家自然科学基金青年基金,11001168,人工边界法在非线性外问题中的应用,主持已结题。
代表性学术论文:
[1] D. J. Liu*, Z. R. Chen, The adaptive finite element method for the P-Laplace problem, Applied Numerical Mathematics,152, 323-337, 2020.
[2] C. Carstensen,D. J. Liu*,J. Alberty,Convergence of dG(1) in elastoplastic evolution,Numerische Mathematik,141(3), 715-742,2019.
[3] D. J. Liu*, A. Q. Li , Z. R. Chen, Nonconforming FEMs for the p-Laplace Problem, Adv. Appl. Math. Mech., 10(6), 1365-1383, 2018.
[4] C. S. Liu, D. J. Liu*,A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation, Engineering Analysis with Boundary Elements,86, 56-63, 2018.
[5] D. J. Liu*, D. D. Jiang, Y. Liu, Q. Q. Xia, Stabilized FEM for Some Optimal Design Problem, Journal of Scientific Computing, 73(1), 228-241, 2017.
[6] D. J. Liu, J. M. Wu,X. P. Zhang,The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval, J. Comput. Appl. Math., 325, 165-174, 2017.
[7] C. S. Liu, D. J. Liu*,W. S. Jhao,Solving a singular beam equation by using a weak-form integral equation method,Appl. Math. Lett.,64,51-58,2017.
[8] C. Carstensen, D. J. Liu*, Nonconforming fems for an optimal design problem, SIAM J. Numer. Anal., 53, 874-894, 2015.
[9] D. J. Liu, X. P. Zhang, J. M. Wu, A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis, Appl. Math. Comput., 219, 5198-5209, 2013.
[10] D. J. Liu, J. M. Wu, D. H. Yu, The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals,J. Comput. Appl. Math., 235, 696-707, 2010.
[11] D. J. Liu*, D. H. Yu, A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane, J. Comput. Math., 26, 378-389, 2008.
(最后更新日期:2021.5.12)