Battling Gibbs Phenomenon: On Finite Element Approximations of Discontinuous Solutions of PDEs

DOI10.1016/J.CAMWA.2022.07.014zbMath1524.65878arXiv1907.03429WikidataQ114201427 ScholiaQ114201427MaRDI QIDQ6321690

Shun Zhang

Publication date: 8 July 2019

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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