Polyhedral mesh quality indicator for the virtual element method

DOI10.1016/j.camwa.2022.03.042OpenAlexW4226366926MaRDI QIDQ2671781

Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo, Tommaso Sorgente

Publication date: 3 June 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11365

zbMATH Keywords

optimal convergencevirtual element methodpolyhedral meshmesh quality indicatorsmesh regularity assumptions3D Poisson problem

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks ⋮ On adaptive mesh coarsening procedures for the virtual element method for two-dimensional elastic problems ⋮ 3D stabilization-free virtual element method for linear elastic analysis ⋮ The nonconforming virtual element method for Oseen’s equation using a stream-function formulation ⋮ Nonconforming virtual element discretization for the transmission eigenvalue problem

Uses Software

• TetGen
• Voro++
• Cinolib

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