Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes
From MaRDI portal
Publication:1344113
DOI10.1007/BF02142697zbMath0815.65127WikidataQ57397408 ScholiaQ57397408MaRDI QIDQ1344113
Publication date: 30 June 1995
Published in: Numerical Algorithms (Search for Journal in Brave)
stabilityunstructured meshesfinite elementcondition numberdomain decomposition methodspreconditionersadditive Schwarz method
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items
Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a hybridizable discontinuous Galerkin method, Erratum to ``Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes, Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz, Numerical approximation of the optimal control of a population dynamics model, Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems, A convergence theory of multilevel additive Schwarz methods on unstructured meshes, An Adaptive Fast Solver for a General Class of Positive Definite Matrices Via Energy Decomposition, A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions, Continuous analysis of the additive Schwarz method: A stable decomposition inH1with explicit constants, Construction of explicit extension operators on general finite element grids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids
- Some Estimates for a Weighted L 2 Projection
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems
- Iterative Methods by Space Decomposition and Subspace Correction
- Domain Decomposition Algorithms with Small Overlap
- Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
- The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes