A least-squares virtual element method for second-order elliptic problems
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Publication:2210613
DOI10.1016/j.camwa.2020.08.023zbMath1453.65419OpenAlexW3083913466MaRDI QIDQ2210613
Publication date: 7 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.08.023
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 (7)
A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes ⋮ A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh ⋮ A \(C^0\)-nonconforming virtual element methods for the vibration and buckling problems of thin plates ⋮ A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows ⋮ Least-squares virtual element method for Stokes problems on polygonal meshes ⋮ An adaptive virtual element method for incompressible flow ⋮ Two robust virtual element methods for the Brinkman equations
Uses Software
Cites Work
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- Equivalent projectors for virtual element methods
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- A hybrid mortar virtual element method for discrete fracture network simulations
- Least-squares finite element methods
- Local error estimates and adaptive refinement for first-order system least squares (FOSLS)
- A posteriori error estimates for a virtual element method for the Steklov eigenvalue problem
- A posteriori error estimates for the virtual element method
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- Virtual element method for geomechanical simulations of reservoir models
- Optimal least-squares finite element method for elliptic problems
- A virtual element method for 2D linear elastic fracture analysis
- A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes
- Computational homogenization of polycrystalline materials with the virtual element method
- A divergence free weak virtual element method for the Stokes problem on polytopal meshes
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- Basic principles of mixed Virtual Element Methods
- Goal-Oriented Local A Posteriori Error Estimators for H(div) Least-Squares Finite Element Methods
- Mixed and Hybrid Finite Element Methods
- Finite Element Methods of Least-Squares Type
- Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
- Virtual element methods on meshes with small edges or faces
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Superconvergent gradient recovery for virtual element methods
- A residual a posteriori error estimate for the Virtual Element Method
- The Hitchhiker's Guide to the Virtual Element Method
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
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