Piecewise tensor product wavelet bases by extensions and approximation rates

DOI10.1090/S0025-5718-2013-02694-4zbMath1277.65093OpenAlexW2582234896MaRDI QIDQ5326505

Ulrich Friedrich, Stephan Dahlke, N. G. Chegini, Rob P. Stevenson

Publication date: 6 August 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02694-4

zbMATH Keywords

waveletsregularitynumerical resultsSobolev spaceRiesz basisdomain decompositionhypercubesPoisson-type equationtensor product approximationextension operatorsbest approximation ratesadaptive wavelet-Galerkin scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Rate of convergence, degree of approximation (41A25)

Related Items (5)

Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems ⋮ The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods ⋮ An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems ⋮ A new fast method of solving the high dimensional elliptic eigenvalue problem ⋮ Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates

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