Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions
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Publication:2000514
DOI10.1007/s10444-018-9646-0zbMath1415.65261OpenAlexW2903409893WikidataQ128845466 ScholiaQ128845466MaRDI QIDQ2000514
Publication date: 28 June 2019
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-018-9646-0
Singular perturbations in context of PDEs (35B25) 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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The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems ⋮ Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type ⋮ Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations ⋮ The finite volume element method on the Shishkin mesh for a singularly perturbed reaction-diffusion problem ⋮ On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation
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