Recent Advances in Schwarz Waveform Moving Mesh Methods – A New Moving Subdomain Method

DOI10.1007/978-3-642-11304-8_28zbMath1217.65189OpenAlexW205177058MaRDI QIDQ2998428

Ronald D. Haynes

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11304-8_28

zbMATH Keywords

numerical resultsdomain decompositionSchwarz waveform relaxationadaptive moving mesh methods\(r\)-refinement methodmoving subdomain method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• Unnamed Item
• Moving mesh methods based on moving mesh partial differential equations
• A Moving Mesh Method for Time—dependent Problems Based on Schwarz Waveform Relaxation
• Adaptivity with moving grids
• Moving Mesh Techniques Based upon Equidistribution, and Their Stability
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• A Schwarz Waveform Moving Mesh Method
• Practical aspects of formulation and solution of moving mesh partial differential equations

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