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Faculty

Jinru Chen Professor

Research Interests: 
  • Numerical methods for interface problems
  • Finite element methods
  • Multigrid methods
  • Domain decomposition methods
Bio: 

Educational Background

  • PhD, Computational Mathematics, Fudan University (1998)
  • MA, Computational Mathematics, Nanjing Normal University (1989)
  • BA, Mathematics, Nanjing Normal University (1986)

 

Research Projects

  • Immersed Interface Finite Element Methods for Solving Interface Problems and its Preconditioning Algorithms (11371199), National Natural Science Foundation of  China, 2014.1-2017.12.
  • Multigrid and Domain Decomposition Methods for Nonconforming Element Methods for  Solving the Problems with Jump Coefficients (11071124), National Natural Science Foundation of  China, 2011.1-2013.12.
  • The National Basic Research Program ---High Performance Scientific Computation’s Research (2005CB321704, “973” Project), Ministry of Science and Technology of China, 2005.12-2010.11.
  • Multiscale Analysis and its Domain Decomposition and Multigrid Methods (10471067), National Natural Science Foundation of China, 2005.1-2007.12.
  • The National Basic Research Program---Large Scale Scientific Computation’s Research (G19990328, “973” Project), Ministry of Science and Technology of China, 2001.7-2004.6.
  • Domain Decomposition and Multigrid Methods for Multiscale Finite Element Methods (19901014), National Natural Science Foundation of China, 2000.1-2002.12.

 

Journal Articles

  1. Haifeng Ji, Jinru Chen*, Zhilin Li, Augmented immersed finite element methods for some elliptic partial differential equations, Inter. J. Comput. Math. 2016, DOI 10.1080/00207160.2015.1005010.
  2. Haifeng Ji, Jinru Chen*, Zhilin Li, A new augmented immersed finite element method without  using SVD interpolations, Numer. Algor., (71 )2016,  395-416,  DOI 10.1007/s11075-015-9999-0.
  3. Yuping Zeng, Jinru Chen, Feng Wang, A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems, East Asian Journal on Applied Mathematics, 5(2015),327-341, doi: 10.4208/eajam.060415.230915a.
  4. Qiuliang Wang, Jinru Chen*, A new unfitted stabilized Nitsche’s finite element method for Stokes interface problems, Computers and Mathematics with Applications, 70(2015), 820-834.
  5. Yuping Zeng, Jinru Chen, Feng Wang, Error Estimates of the Weakly Over-penalized Symmetric Interior Penalty Method for Two Variational Inequalities, Computers and Mathematics with Applications, 69(2015), 760-770.
  6. Chunmei Wang, Shangyou Zhang, Jinru Chen, A Unified Mortar Condition for Nonconforming Finite Elements, J. Sci. Comput., 62(2015),179-197, DOI 10.1007/s10915-014-9852-y.
  7. Yuping Zeng, Jinru Chen*, Zhilin Li, A Parallel Robin-Robin Domain Decomposition Method for H(div)-elliptic Problems, Inter. J. Comput. Math. (92)2015, 394-410, DOI 10.1080/00207160.2014.892587.
  8. Yaqin Jiang and Jinru Chen*, A BDDC Algorithm for the Mortar–type Rotated Q1 FEM for Elliptic Problems with Discontinuous Coefficients, Boundary Value Problems, (79)2014, 1-13.
  9. Haifeng Ji, Jinru Chen*, Zhilin Li, A Symmetric and Consistent Immersed Finite Element Method for Interface Problems, J. Sci. Comput. 61(2014), 533-557, DOI 10.1007/s10915-014-9837-x.
  10. Yuping Zeng, Jinru Chen, Feng Wang, Yanxia Meng, A Priori and a Posteriori Error Estimates of a Weakly Over-penalized Interior Penalty Method for Non-self-adjoint and Indefinite Problems, J. Comput. Math. 32(2014), 332-347.
  11. Qiuliang Wang, Jinru Chen*, An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems, Journal of Applied Mathematics, Vol. 2014, Article ID 241890, 9 pages, 2014. doi:10.1155/2014/241890.
  12. Peiqi Huang, Jinru Chen*, Some Low Order Nonconforming Mixed Finite Elements Combined with Raviart-Thomas Elements for a Coupled Stokes-Darcy Model, Japan J. Indust. Appl. Math. 30(2013), 565-584.
  13. Feng Wang, Jinru Chen, A Local Multilevel Preconditioner for the Adaptive Mortar Finite Element Method, J. Comp. Math. 31(2013),532-548.
  14. Yuping Zeng, Jinru Chen*, A Priori and a Posteriori Error Estimates for H(div)-Elliptic Problem  with Interior Penalty Method,  Commun. Comput. Phys., 14(2013),753-779.
  15. Yaqing Jiang, Jinru Chen, Mixed Mortar Element Method for P_1^{NC}/P_0 Element and its Multigrid Method for Incompressible Stokes Problem, Mathematical Problems in Engineering Volume 2012, 1-18,Article ID 979307, DOI 10.1155/2012/979307.
  16. Peiqi Huang, Jinru Chen*, Two-Level and Multilevel Methods for Stokes-Darcy Problem Discretized by Nonconforming Elements on Nonmatching Meshes (in Chinese),Sci. Sin. Math., 42(2012),389-402.
  17. Feng Wang, Jinru Chen*,  Peiqi Huang, A Multilevel Preconditioner  for the Crouzeix-Raviart Finite Element Method  for Elliptic Problems with Discontinuous Coefficients, Science China, Mathematics, 55(2012),1513-1526.
  18. Peiqi Huang, Jinru Chen*,Mingchao Cai, A Mixed and Nonconforming FEM with Nonmatching Meshes for A Coupled Stokes-Darcy Model, J. Sci. Comp., 53(2012),377-394.
  19. Peiqi Huang, Jinru Chen, Nonconforming Element Methods and Preconditioning Techniques for Stokes-Darcy Model on Nonmatching Grids,Mathematica Numerica, Sinica,33(2011), 397-408.
  20. Yan Han, Jinru Chen, A Robust Multigrid Method for Low Order Nonconforming Rectangular Finite Element for the Pure Displacement Bounday Value Problem in Plannr Linear Elasticity, Numer. Math. J. Chin. Univ. , 33 (2011), 178-192..
  21. Juan Ruiz Alvarez, Jinru Chen, Zhilin Li, The IIM in Polar Coordinates and Its Applications to Electro Capacitance Tomography Problems, Numer. Algor., 57(2011), 405-423.
  22. Ping Huang, Jinru Chen, A Stabilized Method of P1 Nonforming Quadrilateral Finite Elemenet for Solving Stokes Problem, Mathematica Numerica, Sinica,32(2010), 81-96.
  23. Youngju Lee, Jinbiao Wu, Jinru Chen, Robust Multigrid Method for the  Plannar Elasticity Problems, Numer. Math. 113(2009),473-496.
  24. Feng Wang, Jinru Chen, An Additive Schwarz Preconditioner for P1 Nonconforming Quadrilateral Finite Element  Methods for Elliptic Equations with Jump Coefficients, Mathematica Numerica, Sinica,31(2009), 209-224.
  25. Feng Wang, Jinru Chen*, Wei Xu, Zhilin Li, An Additive Schwarz Preconditioner for the Mortar-type Rotated Q1 FEM for EllipticProblems with Discontinuous Coefficients, Appl. Numer. Math. 59(2009), 1657-1667.
  26. P.Q.Huang, Jinru Chen, Multigrid Methods for Mortar-type Rotated Q1 Element, Mathematica Numerica, Sinica, 30(2008), 1-16.
  27. Peiqi Huang, Feng Wang, Jinru Chen,Cascadic Multigrid for Mortar-type Rotated Q1 element,J. Nanjing Normal University (Natural Science Edition), 30(2007), 20-27.
  28. J.R.Chen, P.Q.Huang, Analysis of Mortar-type Q1/Q0 Element and Multigrid Methods for the Incompressible Stokes Problem, Appl. Numer. Math. 57(2007),562-576.
  29. Beiyi Tian, Yaqin Jiang, Jinru Chen,A V-cycle Multigrid Method for Mortar-type Rotated Q1 Element,J. Nanjing Normal University (Natural Science Edition), 29(2006), 1-7.
  30. C.Bacuta,J.R.Chen, Y.Q.Huang, J.Xu, L.Zikatanov, Partition of unity method on nonmatching grids for the Stokes problem, J.Numer.Math. 13(2005),157-169.
  31. J.R.Chen, J.Z.Cui, A Multiscale Finite Element Method for Elliptic Problems with Highly Oscillatory Coefficients,  Appl. Numer. Math. 50(2004),1-13.
  32. J.R.Che, J.Z.Cui, Two-Scale Finite Element Method for Nonselfadjoint Elliptic Problems with Rapidly Oscillatory Coefficients,  Appl. Math. and Comp. 150(2004),585-601.
  33. X.J.Xu, J.R.Chen, Multigrid for the Mortar Finite Element for Parabolic Problem, J. Comput. Math. 21(2003),411-420.
  34. J.R.Chen, X.J.Xu, Uniform Convergence and Schwarz Method for the Mortar Element Method for Nonselfadjoint and Indefinite Problems, Appl. Math. and Comp. 136(2003),517-533.
  35. Z.C. Shi, X.J. Xu, J.R.Chen, Multigrid for the mortar-type nonconforming element method for nonsymmetric and indefinite problems, in Domain decomposition methods in science and engineering (Lyon, 2000), Theory Eng. Appl. Comput. Methods, Internat. Center Numer. Methods Eng. (CIMNE), Barcelona, 2002, 279–286.
  36. J.R.Chen, J.Z.Cui, Two-Scale Curved Element Method for Elliptic Problems with Small Periodic Coefficients, J. Comput. Math. 20(2002),381-390.
  37. J.R.Chen, X.J.Xu, Uniform Convergence and Schwarz Method for the Mortar Projection Nonconforming and Mixed Element Methods for Nonselfadjoint and Indefinite Prolems, Comput. Methods Appl. Mech. and Engrg. 191(2002), 1677-1699.
  38. J.R.Chen, J.Z.Cui, A Multiscale Rectangular Element Method for Elliptic Problems with Entirly Small Periodic Coefficients, Appl. Math. and Comp. 130(2002),39-52.
  39. J.R.Chen, X.J.Xu, The Mortar Element Method for Rotated $Q1$ Element, J. Comput. Math. 20(2002), 313-324.
  40. J.R.Chen, X.J.Xu, The Mortar Element Method for Nonselfadjoint Parabolic Problems, Appl. Numer. Math. 37 (2001), 341-358.
  41. J.R.Chen, Multigrid Method and Multilevel Additive Preconditioner for Mixed Element Method for Nonselfadjoint and Indefinite Problems, Appl. Math. and Comp. 119 (2001), 229-247.
  42. J.R.Chen, J.Z.Cui, Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients, J. Comput. Math. 19 (2001), 549-560.
  43. J.G.Huang, L.K.Li, J.R.Chen, On Mortar-Type Morley Element Method for Plate Bending Problem, Appl. Numer. Math. 37 (2001), 519-533.
  44. X.J.Xu, J.R.Chen, Multigrid for the Mortar Element for P1-nonconforming Element, Numer. Math. 88 (2001), 381-398.
  45. J.R.Chen, Uniform Convergence and Two Level Schwarz Method for Carey Nonconforming Element Method for Nonselfadjoint and Indefinite Problems, Commun. Numer. Methods Engrg. 16 (2000) 275-292.
  46. J.R.Chen, J.G.Huang, L.K.Li, Uniform Convergence and Preconditioning Method for Mortar Mixed Element Method for Nonselfadjoint and Indefinite Problems, Comput. Methods Appl. Mech. and Engrg. 189 (2000), 943-960.
  47. J.R.Chen, L.K.Li, Uniform Convergence and Preconditioning Methods for Projection Nonconforming and Mixed Methods for Nonselfadjoint and Indefinite Prolems, Comput. Methods Appl. Mech. and Engrg. 185 (2000), 75-89.
  48. J.R.Chen, W.B.Chen, Domain Decomposition Method for Mixed and Projection Noncomforming Element method for Second Order indefinite Elliptic Problems, J. Fudan Univ. 39 (2000), 80-85.
  49. J.R.Chen, L.K.Li, Convergence and Domain Deconposition Algorithm for Nonconforming and Mixed Methods for Nonselfadjoint and Indefinite Prolems, Comput. Methods Appl. Mech. and Engrg. 173 (1999), 1-20.
  50. J.R.Chen, W.B.Chen, Preconditioning Mixed Element Method for Nonselfadjoint and Indefinite Second Order Elliptic Problems, Numer. Math. J. Chin. Univ. (English Series), 8 (1999), 67-82.
  51. L.Zhan, J.R.Chen, Theory Analysis for ZZ Method, J. Nanjing Normal Univ. 21 (1998).
  52. J.R.Chen, L.K.Li, Preconditioning projection nonconforming element for the lowest-order Raviart-Thomas mixed triangular element method, Appl. Math. Comp., 93(1998), 31-49.
  53. L.Hon, J.R.Chen, The H-P Version of the Infinite Element Method and Its Application, Numer. Math. J. Chin. Univ. (English Series), 7 (1998), 125-132.
  54. L.K.Li, J.R.Chen, Preconditioning Isoparametric Finite Element Methods Taking into Account Numerical Integration, Appl. Math. and Comp. 87 (1997), 271-288.
  55. J.R.Chen, A Minimal Residual Method for Solving A Class of Unsymmetric Systems of Linear Equations, J. Nanjing Normal University (Natural Science),13(1990), 15-19.
  56. J.R.Chen, The Relation between the Residuals of GCR Algorithm and the Spectral Distribution Bound of Coefficient Matrix, J. Nanjing Normal University (Natural Science), 13(1990), 12-21.
  57. J.R.Chen, A Necessary and Sufficient Condition of Spectral Matrix, J. Nanjing Normal University (Natural Science), 13(1987), 25-28.

 

Honors and Awards

  • Awarded the Academic Leader of Nanjing Normal University in New Century, 2002.
  • Awarded the Academic Leader of Jiangsu Provience in New Century, 2004.

 

Contact

Tel: +86-25-85891997

Email: jrchen@njnu.edu.cn