A MULTIGRID ALGORITHM WITH TIME‐DEPENDENT, LOCALLY REFINED GRIDS FOR SOLVING THE NONLINEAR DIFFUSION EQUATION ON A NONRECTANGULAR GEOMETRY ‐ PRACTICAL ASPECTS

DOI10.1108/EB051717zbMath0799.65097OpenAlexW2093954567MaRDI QIDQ4305214

Publication date: 17 November 1994

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb051717

zbMATH Keywords

convergence finite difference method error estimation diffusion equation local grid refinement multigrid algorithm large systems of nonlinear equations VLSI process simulation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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