A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type

DOI10.1007/s10915-022-02024-1zbMath1504.65261OpenAlexW4307244301MaRDI QIDQ2103445

Yanyan Li

Publication date: 13 December 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-02024-1

zbMATH Keywords

first-order systemfinite element methodmixed methodbiharmonic eigenvalue problem

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

• FreeFem++

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