The mortar finite volume method with the Crouzeix–Raviart element for elliptic problems

We construct and analyse a mortar finite volume method for the discretization for selfadjoint elliptic boundary value problems in R 2. This method is based on the mortar Crouzeix–Raviart non-conforming finite element spaces. We prove the optimal order H 1-norm and L 2-norm error estimates between th...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 192; no. 1; pp. 15 - 31
Main Authors: Bi, Chunjia, Li, Likang
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.01.2003
Elsevier
Subjects:
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural analysis. Stresses
Structural and continuum mechanics
28
Finite element method
Error estimation
Mortars
Boundary-value problems
L2 approximation
Numerical method
Finite volume methods
Self adjoint operator
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:We construct and analyse a mortar finite volume method for the discretization for selfadjoint elliptic boundary value problems in R 2. This method is based on the mortar Crouzeix–Raviart non-conforming finite element spaces. We prove the optimal order H 1-norm and L 2-norm error estimates between the exact solution and the mortar finite volume approximation of the elliptic problems.
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content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(02)00494-2