Trace operators of the bi-Laplacian and applications

DOI10.1093/imanum/draa012zbMath1501.65116arXiv1904.07761OpenAlexW3025254139MaRDI QIDQ5077023

Alexander Haberl, Norbert Heuer, Thomas Führer

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07761

zbMATH Keywords

biharmonic operatortrace operatorbi-Laplaciandiscontinuous Petrov-Galerkin methodoptimal test functionsfourth-order elliptic PDEultraweak formulation

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) 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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) PDEs in connection with mechanics of deformable solids (35Q74)

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