The nonconforming virtual element method for parabolic problems

DOI10.1016/j.apnum.2019.04.002zbMath1470.76086OpenAlexW2934291109MaRDI QIDQ2311768

Bei Zhang, Jikun Zhao, Xiaopeng Zhu

Publication date: 4 July 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.04.002

zbMATH Keywords

convergenceerror estimateenergy normprojection operatorpolygonal meshpolyhedral mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Basic methods in fluid mechanics (76M99) Numerical and other methods in solid mechanics (74S99)

Related Items

A hybrid high-order method for the Sobolev equation ⋮ The nonconforming virtual element method for semilinear elliptic problems ⋮ The virtual element method for the time fractional convection diffusion reaction equation with non-smooth data ⋮ A local projection stabilization virtual element method for the time-fractional Burgers equation with high Reynolds numbers ⋮ Conforming virtual element methods for Sobolev equations ⋮ The divergence‐free nonconforming virtual element method for the <scp>Navier–Stokes</scp> problem ⋮ Error estimates of conforming virtual element methods with a modified symmetric Nitsche's formula for 2D semilinear parabolic equations ⋮ Two-grid virtual element discretization of semilinear elliptic problem ⋮ Virtual element method for the Sobolev equations ⋮ Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation ⋮ The nonconforming virtual element method for Sobolev equations with Burger's type nonlinearity ⋮ The nonconforming virtual element method for fourth-order singular perturbation 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

• Unnamed Item
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• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
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• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• The fully nonconforming virtual element method for biharmonic problems
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• The Hitchhiker's Guide to the Virtual Element Method
• The NonConforming Virtual Element Method for the Stokes Equations

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