The role of stabilization in the virtual element method: a survey

DOI10.1016/j.camwa.2023.09.045arXiv2304.10968OpenAlexW4387557314MaRDI QIDQ6143648

Lorenzo Mascotto

Publication date: 5 January 2024

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

Full work available at URL: https://arxiv.org/abs/2304.10968

zbMATH Keywords

virtual element methodinterpolation estimatestability bound

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

The virtual element method with interior penalty for the fourth-order singular perturbation problem ⋮ A \(C^1\)-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation

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