The mortar element method for nonselfadjoint parabolic problem
DOI10.1016/S0168-9274(00)00051-9zbMath0985.65116MaRDI QIDQ5937476
Publication date: 8 May 2002
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
convergenceCrank-Nicolson schemeadditive Schwarz preconditioningmortar element methodnonselfadjoint parabolic problemspackward Euler schemepreconditioned GMRES method
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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Cites Work
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- A convergence theory of multilevel additive Schwarz methods on unstructured meshes
- Additive Schwarz algorithms for parabolic convection-diffusion equations
- A hierarchical preconditioner for the mortar finite element method
- Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems
- The mortar element method for three dimensional finite elements
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- The Generalized Patch Test
- An Optimal Order Process for Solving Finite Element Equations
- Some Nonoverlapping Domain Decomposition Methods
- Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
- Multigrid for the Mortar Finite Element Method