In this paper we study a C1 Virtual Element Method (VEM) on polyhedral meshes for bi-harmonic eigenvalue problems in three dimensions. Optimal order error estimates for the eigenfunctions and a double order for the eigenvalues are obtained by using the approximation theory of compact self-adjoint operators. Finally, a set of tests will numerically prove the theoretical result of the proposed scheme.

Dassi, F., Velasquez, I. (2022). Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 121(1 September 2022), 85-101 [10.1016/j.camwa.2022.07.001].

Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems

Dassi, F;
2022

Abstract

In this paper we study a C1 Virtual Element Method (VEM) on polyhedral meshes for bi-harmonic eigenvalue problems in three dimensions. Optimal order error estimates for the eigenfunctions and a double order for the eigenvalues are obtained by using the approximation theory of compact self-adjoint operators. Finally, a set of tests will numerically prove the theoretical result of the proposed scheme.
Articolo in rivista - Articolo scientifico
Bi-harmonic eigenvalue problems; Error estimates; Polyhedral meshes; Virtual element method;
English
21-lug-2022
2022
121
1 September 2022
85
101
reserved
Dassi, F., Velasquez, I. (2022). Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 121(1 September 2022), 85-101 [10.1016/j.camwa.2022.07.001].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/394877
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