Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems

DOI10.1016/S0045-7825(01)00350-4zbMath1141.74366OpenAlexW2034065046MaRDI QIDQ1348303

Publication date: 15 May 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00350-4

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Cites Work

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A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids
Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems
The mortar element method with locally nonconforming elements
Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems
The mortar element method for three dimensional finite elements
Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
The Generalized Patch Test
Mixed and Hybrid Finite Element Methods
A Multigrid Algorithm for the Lowest-Order Raviart–Thomas Mixed Triangular Finite Element Method
Iterative Methods by Space Decomposition and Subspace Correction
Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
Treatments of discontinuity and bubble functions in the multigrid method
Mixed Finite Element Methods on Nonmatching Multiblock Grids
On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions

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