A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids

DOI10.1007/s002110050334zbMath0898.65069OpenAlexW2039317494MaRDI QIDQ1385127

Christoph Pflaum

Publication date: 1 November 1998

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050334

zbMATH Keywords

numerical experimentsmultilevel algorithmadaptive sparse grid method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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 (6)

Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations ⋮ A prewavelet-based algorithm for the solution of second-order elliptic differential equations with variable coefficients on sparse grids ⋮ A Multigrid Method for Adaptive Sparse Grids ⋮ Widths between the anisotropic spaces and the spaces of functions with mixed smoothness ⋮ Relative pairing in cyclic cohomology and divisor flows ⋮ A Sparse Grid Discretization of the Helmholtz Equation with Variable Coefficients in High Dimensions

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