The role of mesh quality and mesh quality indicators in the virtual element method

DOI10.1007/s10444-021-09913-3zbMath1491.65151arXiv2102.04138OpenAlexW3128251978MaRDI QIDQ2070292

Silvia Biasotti, Tommaso Sorgente, Michela Spagnuolo, Gianmarco Manzini

Publication date: 24 January 2022

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04138

zbMATH Keywords

2D Poisson problemoptimal convergencevirtual element methodpolygonal meshmesh quality indicatorssmall edgesmesh regularity assumptions

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) 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 (13)

Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods ⋮ Conforming virtual element approximations of the two-dimensional Stokes problem ⋮ Polyhedral mesh quality indicator for the virtual element method ⋮ The virtual element method for a 2D incompressible MHD system ⋮ 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 ⋮ The nonconforming virtual element method for Oseen’s equation using a stream-function formulation ⋮ Nonconforming virtual element discretization for the transmission eigenvalue problem ⋮ Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges ⋮ VEM and the mesh ⋮ The conforming virtual element method for polyharmonic and elastodynamics problems: a review ⋮ The virtual element method for the coupled system of magneto-hydrodynamics ⋮ Virtual elements for sound propagation in complex poroelastic media

Uses Software

• Cinolib

Cites Work

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