NDLI: Mixed Finite Element Methods on Nonmatching Multiblock Grids

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Arbogast, Todd Cowsar, Lawrence C. Wheeler, Mary F. Yotov, Ivan
Copyright Year	2000
Abstract	We consider mixed finite element methods for second order elliptic equations on nonmatching multiblock grids. A mortar finite element space is introduced on the nonmatching interfaces. We approximate in this mortar space the trace of the solution, and we impose weakly a continuity of flux condition. A standard mixed finite element method is used within the blocks. Optimal order convergence is shown for both the solution and its flux. Moreover, at certain discrete points, superconvergence is obtained for the solution and also for the flux in special cases. Computational results using an efficient parallel domain decomposition algorithm are presented in confirmation of the theory.
Starting Page	1295
Ending Page	1315
Page Count	21
File Format	PDF
ISSN	00361429
DOI	10.1137/S0036142996308447
e-ISSN	10957170
Issue Number	4
Volume Number	37
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-25
Access Restriction	Subscribed
Subject Keyword	Stability and convergence of numerical methods nonconforming grids Solution of discretized equations mortar finite element multiblock mixed finite element Error bounds Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods error estimates superconvergence Finite difference methods
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Numerical Analysis Computational Mathematics

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