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期刊名称: Applications of Mathematics
Volume:44    Issue:1        Page:43-53
ISSN:0862-7940

Superconvergence of mixed finite element semi-discretizations of two time-dependent problems期刊论文

作者: Brandts J.H
DOI:10.1023/A:1022220219953

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页码: 43-53
出版者: Kluwer Academic Publishers-Plenum Publishers,Springer,Springer Nature B.V
期刊名称: Applications of Mathematics
ISSN: 0862-7940
卷期: Volume:44    Issue:1
语言: English
摘要: We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori error estimation for the error in the space discretization can be performed in the same way as for the underlying elliptic problem.
相关主题: Fluids, mixed elliptic projection, Mathematics, Applications of Mathematics, diffusion equation, Maxwell equations, superconvergence, Diffusion equation, Superconvergence, Mixed elliptic projection, Convergence (Mathematics), Heat equation, Functions, Elliptic, Analysis, Finite element analysis,

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