Inclusion method of optimal constant with quadratic convergence for \(H_0^1\)-projection error estimates and its applications

DOI10.1016/j.cam.2022.114521zbMath1496.65221OpenAlexW4285606981WikidataQ113878697 ScholiaQ113878697MaRDI QIDQ2088756

Nobito Yamamoto, Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao

Publication date: 6 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114521

zbMATH Keywords

finite element methodorthogonal polynomialsPoisson equationnumerical verificationa priori error estimates

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of partial differential operators (47F05) Algorithms with automatic result verification (65G20)

Uses Software

• INTLAB

Cites Work

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