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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Vydané v:Computer methods in applied mechanics and engineering Ročník 192; číslo 1; s. 15 - 31
Hlavní autori: Bi, Chunjia, Li, Likang
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 01.01.2003
Elsevier
Predmet:
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
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Abstract 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.
AbstractList We construct and analyse a mortar finite volume method for the discretization for selfadjoint elliptic boundary value problems in R. This method is based on the mortar Crouzeix-Raviart non-conforming finite element spaces. We prove the optimal order H-norm and L-norm error estimates between the exact solution and the mortar finite volume approximation of the 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 the exact solution and the mortar finite volume approximation of the elliptic problems.
Author Bi, Chunjia
Li, Likang
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  givenname: Likang
  surname: Li
  fullname: Li, Likang
  organization: Department of Mathematics, Institute of Mathematics, Fudan University, Shanghai 200433, China
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Cites_doi 10.1007/s002110050425
10.1137/S0036142996308447
10.1137/S0036142998341040
10.1007/BF01385651
10.1007/PL00005450
10.1016/S0045-7825(99)00409-0
10.1137/0724050
10.1137/0728022
10.1007/s002110050443
10.1051/m2an/1997310202891
10.1137/S0036142994264699
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Issue 1
Keywords 28
Finite element method
Error estimation
Mortars
Boundary-value problems
L2 approximation
Numerical method
Finite volume methods
Self adjoint operator
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Snippet 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...
We construct and analyse a mortar finite volume method for the discretization for selfadjoint elliptic boundary value problems in R. This method is based on...
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Title The mortar finite volume method with the Crouzeix–Raviart element for elliptic problems
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