Adaptive numerical methods for PDEs

DOI10.1051/PROC:2002032zbMATH Open1016.65081OpenAlexW2130207854MaRDI QIDQ4799545

Ronald DeVore

Publication date: 24 March 2003

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc:2002032

zbMATH Keywords

performancealgorithmsregularityconvergenceadaptive methodsBesov spaceselliptic and hyperbolic problemsnonlinear approximationnonlinear manifold of functionswavelet based algorithm

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Second-order nonlinear hyperbolic equations (35L70) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Complexity and performance of numerical algorithms (65Y20)

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