Convergence of the Combination Technique for Second-Order Elliptic Differential Equations

DOI10.1137/S0036142993260294zbMath0891.65109OpenAlexW2029191491MaRDI QIDQ4377543

Christoph Pflaum

Publication date: 10 February 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142993260294

zbMATH Keywords

algorithmconvergencefinite elementserror boundsparse gridcombination techniquesecond-order elliptic differential equationsorder of the discretization error

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items

Multi-index Monte Carlo: when sparsity meets sampling, Sparse grid reconstructions for Particle-In-Cell methods, Two-scale sparse finite element approximations, A Multigrid Method for Adaptive Sparse Grids, Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics, Three-scale finite element eigenvalue discretizations, Error estimates and adaptive finite element methods, A Cache-Optimal Alternative to the Unidirectional Hierarchization Algorithm, A Sparse Grid Discretization of the Helmholtz Equation with Variable Coefficients in High Dimensions, Fast Boolean approximation methods for solving integral equations in high dimensions