Tensor-product adaptive grids based on coordinate transformations.

DOI10.1016/j.cam.2003.09.018zbMath1049.65097OpenAlexW2087307190MaRDI QIDQ1428511

Paul Andries Zegeling

Publication date: 29 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.018

zbMATH Keywords

boundary layersMethod of linesFinite differencesAdaptive grid refinementCoordinate transformationsMoving gridsnumerical exerimentssteep moving pulsestensor-product approach

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Dimension-splitting data points redistribution for meshless approximation ⋮ A splitting moving mesh method for reaction-diffusion equations of quenching type ⋮ Adaptive moving mesh methods for two-dimensional resistive magneto-hydrodynamic PDE models ⋮ On resistive MHD models with adaptive moving meshes

Uses Software

• VLUGR2
• DASSL

Cites Work

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