The curl–curl conforming virtual element method for the quad-curl problem

DOI10.1142/S0218202521500354zbMath1473.65325OpenAlexW3192134406MaRDI QIDQ5164247

Bei Zhang, Jikun Zhao

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202521500354

zbMATH Keywords

de Rham complexpolygonal meshquad-curl problemconforming virtual element

Mathematics Subject Classification ID

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 (11)

The interior penalty virtual element method for the biharmonic problem ⋮ Interpolation and stability estimates for edge and face virtual elements of general order ⋮ Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations ⋮ The virtual element method with interior penalty for the fourth-order singular perturbation problem ⋮ The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem ⋮ The role of stabilization in the virtual element method: a survey ⋮ Virtual element method for linear elastic clamped plate model ⋮ Weak Galerkin finite element methods for quad-curl problems ⋮ An \textit{hp}-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem ⋮ Error analysis of a decoupled finite element method for quad-curl problems ⋮ A \(C^1\)-\(C^0\) virtual element discretization for a sixth-order elliptic equation

Uses Software

• PolyMesher

Cites Work

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