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GLOBAL SUPERCONVERGENCE OF THE MIXED FINITE ELEMENT METHODS FOR 2-D MAXWELL EQUATIONS 被引量：7

GLOBAL SUPERCONVERGENCE OF THE MIXED FINITE ELEMENT METHODS FOR 2-D MAXWELL EQUATIONS
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摘要 Superconvergence of the mixed finite element methods for 2-d Maxwell equations is studied in this paper. Two order of superconvergent factor can be obtained for the k-th Nedelec elements on the rectangular meshes. Superconvergence of the mixed finite element methods for 2-d Maxwell equations is studied in this paper. Two order of superconvergent factor can be obtained for the k-th Nedelec elements on the rectangular meshes.
作者 Jia-fuLin QunLin
机构地区 InstituteofSystemsSciences LSEC
出处 《Journal of Computational Mathematics》 SCIE CSCD 2003年第5期637-646,共10页 计算数学（英文）
基金 This work is subsidized by the special funds for major state basic research projects (No. 1999032800).
关键词 Maxwell equations Mixed finite element SUPERCONVERGENCE Postprocessing. Maxwell equations, Mixed finite element, Superconvergence, Postprocessing.
分类号 O241.82 [理学—计算数学]
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参考文献10

  • 1J H Brandts, Superconvergence of mixed finite element semi-discretizations of two time-dependent problems., Applications of Mathematics , 44:1 (1999), 43-53.
  • 2F Brezzi and M Fortin, Mixed and Hybrid Finite Element Methods., Springer-Verlag, Heidelberg,1991.
  • 3P G Ciarlet, The Finite Element Method for Elliptic Problem, North-Holland Publ , Amsterdan,1978.
  • 4Q Lin and N Yan, Global superconvergence for Maxwell's equations , Math Comp , 69 (1999),159-176.
  • 5Q Lin and N Yan, Superconvergence of mixed finite element methods for Maxwell's equations.,Gongcheng Shucue Xuebao , 13 (1996), 1-10. (in Chinese).
  • 6Q Lin, N Yan and A Zhou, A rectangle test for interpolated finite elements, in Proc Sys Sci & Sys Engrg , Great Wall Culture Publ. Co , Hong Kong , (1991), 217-229.
  • 7P Monk, A comparison of three mixed methods for the time-dependent Maxwell's equations ,SIAM J Sci Stat. Comp , 13 (1992), 1097-1122.
  • 8P Monk, Superconvergence of finite element approximations to Maxwell's equations, Numerical Methods for Partial Differential Equations , 10 (1994), 793-812.
  • 9J C Nedelec, Mixed finite element in R^3 , Numev Math , 35 (1980), 315-341.
  • 10P A Raviart, J M Thomas, A mixed finite element method for 2nd order elliptic problem, In Mathematical Aspects of Finite Element Methods, Lecture Notes in Math , 606, Springer-Verlag,Berlin and New York, (1977), 292-315.

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Journal of Computational Mathematics
2003年 第5期

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