Optimal-Order Finite Difference Approximation of Generalized Solutions to the Biharmonic Equation in a Cube

DOI10.1137/19M1254313zbMath1471.65172arXiv1904.02084OpenAlexW3000402387WikidataQ126341640 ScholiaQ126341640MaRDI QIDQ5210547

Florian Schweiger, Endre Süli, Stefan Müller

Publication date: 21 January 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02084

zbMATH Keywords

finite difference schemebiharmonic equationoptimal error bound

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

A fast Fourier-Galerkin method solving a system of integral equations for the biharmonic equation ⋮ The maximum of the four-dimensional membrane model ⋮ Optimal convergence for time-dependent Stokes equation: a new approach

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