Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle

DOI10.1137/110849936zbMath1253.65144OpenAlexW2023291079MaRDI QIDQ3168514

Ronald D. Haynes, Martin J. Gander

Publication date: 31 October 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110849936

zbMATH Keywords

domain decompositionequidistributionmesh generationSchwarz algorithm

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) 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)

Related Items (16)

Linearized domain decomposition approaches for nonlinear boundary value problems ⋮ Parallel stochastic methods for PDE based grid generation ⋮ A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution ⋮ Modified equation based mesh adaptation algorithm for evolutionary scalar partial differential equations ⋮ MM-ADMM: implicit integration of MMPDEs in parallel ⋮ AN EFFICIENT NUMERICAL METHOD BASED ON CUBIC B-SPLINE FOR TIME DEPENDENT PROBLEM WITH SMALL PARAMETER ⋮ Domain Decomposition Approaches for PDE Based Mesh Generation ⋮ Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes ⋮ A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions ⋮ On the mesh nonsingularity of the moving mesh PDE method ⋮ Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle ⋮ Alternating Schwarz methods for partial differential equation-based mesh generation ⋮ Numerical investigation of heat conduction with multiple moving heat sources ⋮ The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids ⋮ Generating Equidistributed Meshes in 2D via Domain Decomposition

Uses Software

• DASSL

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