\(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem

DOI10.1007/s11075-017-0388-8zbMath1402.65146OpenAlexW2744058931MaRDI QIDQ1646673

Y. Aharonov

Publication date: 25 June 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0388-8

zbMATH Keywords

adaptive algorithma posteriori error analysisadaptive refinementbiharmonic eigenvalue problem\(C^0\) interior penalty Galerkin methodLagrange finite element method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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)

Related Items (5)

Adaptive Morley element algorithms for the biharmonic eigenvalue problem ⋮ Solving biharmonic eigenvalue problem with Navier boundary condition via Poisson solvers on non-convex domains ⋮ The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem ⋮ An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem ⋮ A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type

Uses Software

• iFEM

Cites Work

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