Stabilization of the nonconforming virtual element method

DOI10.1016/j.camwa.2021.10.009OpenAlexW3211267201MaRDI QIDQ2147269

Micol Pennacchio, Daniele Prada, Gianmarco Manzini, Silvia Bertoluzza

Publication date: 23 June 2022

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

Full work available at URL: https://arxiv.org/abs/2103.03742

zbMATH Keywords

stabilizationdual normsvirtual element methodpolygonal meshnonconforming Galerkin method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) 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)

Related Items (6)

The role of stabilization in the virtual element method: a survey ⋮ Reduced basis stabilization and post-processing for the virtual element method ⋮ A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems ⋮ Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements ⋮ VEM and the mesh ⋮ Algebraic representation of dual scalar products and stabilization of saddle point problems

Uses Software

• PaStiX

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