A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem

DOI10.1007/s10444-014-9395-7zbMath1337.65141OpenAlexW2056381275MaRDI QIDQ269179

Niall Madden, Stephen J. Russell

Publication date: 18 April 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-014-9395-7

zbMATH Keywords

sparse gridShishkin meshreaction-diffusionsingularly perturbed

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Complexity and performance of numerical algorithms (65Y20)

Related Items (6)

Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems ⋮ A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers ⋮ REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM ⋮ An introduction to the analysis and implementation of sparse grid finite element methods ⋮ A Multiscale Sparse Grid Technique for a Two-Dimensional Convection-Diffusion Problem with Exponential Layers ⋮ Unnamed Item

Uses Software

• CHOLMOD
• SparseGrids

Cites Work

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• Robust Numerical Methods for Singularly Perturbed Differential Equations
• A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions
• A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems
• Sparse grids
• A parameter robust numerical method for a two dimensional reaction-diffusion problem
• Application of an additive sparse-grid technique to a model singular perturbation problem

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