The nonconforming virtual element method for fourth-order singular perturbation problem

DOI10.1007/s10444-020-09743-9zbMath1436.65191OpenAlexW3006890668MaRDI QIDQ1987754

Jikun Zhao, Bei Zhang, Shao-Chun Chen

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1007/s10444-020-09743-9

zbMATH Keywords

polygonal meshnonconforming virtual elementfourth-order singular perturbation problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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

Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation, Stabilization of the nonconforming virtual element method, The divergence‐free nonconforming virtual element method for the <scp>Navier–Stokes</scp> problem, The virtual element method with interior penalty for the fourth-order singular perturbation problem, A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes, Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation, The curl–curl conforming virtual element method for the quad-curl problem, The nonconforming virtual element method for the Darcy-Stokes problem, The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation

Uses Software

• PolyMesher

Cites Work

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