Discretization of elliptic differential equations on curvilinear bounded domains with sparse grids

DOI10.1007/BF02238512zbMath0846.65060MaRDI QIDQ1913347

T. Dornseifer, Christoph Pflaum

Publication date: 4 September 1996

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencenumerical resultsfinite elementsweak solutionssparse gridgrid generationreentrant cornerscurvilinear bounded domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

A prewavelet-based algorithm for the solution of second-order elliptic differential equations with variable coefficients on sparse grids ⋮ A sparse grid space-time discretization scheme for parabolic problems ⋮ A sparse-grid isogeometric solver

Cites Work

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• A multi-surface method of coordinate generation
• Elliptic grid generation
• Transfinite mappings and their application to grid generation
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• The Solution of Multidimensional Real Helmholtz Equations on Sparse Grids
• Algebraic grid generation

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