Alternating Schwarz methods for partial differential equation-based mesh generation

DOI10.1080/00207160.2014.891733zbMath1308.65165OpenAlexW2149317420WikidataQ115315018 ScholiaQ115315018MaRDI QIDQ4983286

Alexander J. M. Howse, Ronald D. Haynes

Publication date: 25 March 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.891733

zbMATH Keywords

domain decompositionSchwarz methodsequidistributionmoving meshes

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (4)

Efficient mesh generation utilizing an adaptive body centered cubic mesh ⋮ Domain Decomposition Approaches for PDE Based Mesh Generation ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle ⋮ Generating Equidistributed Meshes in 2D via Domain Decomposition

Cites Work

• A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms
• A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations
• An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics
• Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem
• Convergence of de Boor's algorithm for the generation of equidistributing meshes
• Generating Equidistributed Meshes in 2D via Domain Decomposition
• Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle
• Adaptivity with moving grids
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Nonlinearly Preconditioned Inexact Newton Algorithms
• Non‐linear additive Schwarz preconditioners and application in computational fluid dynamics
• A Schwarz Waveform Moving Mesh Method
• One‐level Newton–Krylov–Schwarz algorithm for unsteady non‐linear radiation diffusion problem

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