Norm estimates of product operators with application to domain decomposition
DOI10.1016/0096-3003(93)90105-NzbMath0766.65100OpenAlexW2094813161WikidataQ127782830 ScholiaQ127782830MaRDI QIDQ1208335
Publication date: 16 May 1993
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(93)90105-n
convergenceHilbert spacedomain decompositionnorm estimatesnonsymmetric and indefinite order elliptic problemsproduct operators
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) General theory of numerical analysis in abstract spaces (65J05) Boundary value problems for second-order elliptic equations (35J25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
Related Items (1)
Cites Work
- Error estimates for a Schwarz alternating procedure on L-shaped regions
- Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
- Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
- COMPUTATIONAL COMPLEXITY OF THE SCHWARZ ALTERNATING PROCEDURE
- The Analysis of Multigrid Algorithms for Nonsymmetric and Indefinite Elliptic Problems
- The Construction of Preconditioners for Elliptic Problems by Substructuring. II
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- Domain Decomposition Algorithms for Indefinite Elliptic Problems
- Convergence Analysis without Regularity Assumptions for Multigrid Algorithms Based on SOR Smoothing
- The Analysis of Smoothers for Multigrid Algorithms
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
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