Battling Gibbs phenomenon: on finite element approximations of discontinuous solutions of PDEs

DOI10.1016/j.camwa.2022.07.014OpenAlexW4297797509WikidataQ114201427 ScholiaQ114201427MaRDI QIDQ2172572

Shun Zhang

Publication date: 16 September 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03429

zbMATH Keywords

adaptive finite element methodsGibbs phenomenonovershootsingularly perturbed equationdiscontinuous solution of PDEs

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) 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)

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