On the Coupling of VEM and BEM in Two and Three Dimensions
DOI10.1137/18M1202487zbMath1428.65101OpenAlexW2984446512WikidataQ126834371 ScholiaQ126834371MaRDI QIDQ5242936
Gabriel N. Gatica, Salim Meddahi
Publication date: 8 November 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1202487
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) A priori estimates in context of PDEs (35B45) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items (7)
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Cites Work
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- Equivalent projectors for virtual element methods
- Arbitrary order Trefftz-like basis functions on polygonal meshes and realization in BEM-based FEM
- Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Virtual element methods for plate bending problems
- Mathematical aspects of discontinuous Galerkin methods.
- Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling
- A mixed virtual element method for a nonlinear Brinkman model of porous media flow
- Boundary integral equations
- On the coupling of boundary integral and finite element methods
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Some estimates for virtual element methods
- A virtual element method for the acoustic vibration problem
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Virtual Elements for Linear Elasticity Problems
- On the dual-mixed formulation for an exterior Stokes problem
- Basic principles of mixed Virtual Element Methods
- Divergence free virtual elements for the stokes problem on polygonal meshes
- The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
- Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces
- A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
- New developments on the coupling of mixed-FEM and BEM for the three-dimensional Stokes problem
- Polynomial Approximation of Functions in Sobolev Spaces
- On the Coupling of Boundary Integral and Finite Element Methods
- An H1-conforming virtual element for Darcy and Brinkman equations
- A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows
- A mixed virtual element method for the Navier–Stokes equations
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Validity of Johnson--Nédélec's BEM--FEM Coupling on Polygonal Interfaces
- The Hitchhiker's Guide to the Virtual Element Method
- A virtual element method for the Steklov eigenvalue problem
- A mixed virtual element method for the Brinkman problem
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- A virtual element method with arbitrary regularity
- The NonConforming Virtual Element Method for the Stokes Equations
- Boundary Element Methods
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