Domain Decomposition Scheme for First-Order Evolution Equations with Nonselfadjoint Operators

DOI10.1007/978-1-4614-7172-1_14zbMath1275.65032OpenAlexW77616870MaRDI QIDQ2847773

P. E. Zakharov, Petr N. Vabishchevich

Publication date: 11 September 2013

Published in: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7172-1_14

zbMATH Keywords

regularizationCauchy problemnumerical examplesHilbert spacedifference schemedomain decomposition methodfirst-order evolution equationsadditive operator-difference schemesparabolic partial differencial equation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Linear differential equations in abstract spaces (34G10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solutions to abstract evolution equations (65J08)

Related Items (1)

Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations

Cites Work

• Regional-additive difference schemes for nonstationary problems of mathematical physics
• Domain decomposition methods for the numerical solution of partial differential equations
• Vector additive difference schemes for first-order evolution equations.
• Regularized additive full approximation schemes
• Stability of vector additive schemes
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Regionally additive difference schemes with a stabilizing correction for parabolic problems
• Weak Approximation Properties of Elliptic Projections with Functional Constraints
• Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
• REGULARIZED DIFFERENCE SCHEMES FOR EVOLUTIONARY SECOND ORDER EQUATIONS
• Difference schemes with domain decomposition for solving non-stationary problems
• Difference schemes for component-wise splitting-decomposition of a domain
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