CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems
DOI10.1007/s10915-022-01951-3OpenAlexW4289313871MaRDI QIDQ2162329
Silvia Falletta, Matteo Ferrari, Luca Desiderio, Letizia Scuderi
Publication date: 5 August 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.13502
error estimatesboundary element methodcouplingcurved virtual element methodexterior Poisson problems
Stability and convergence of numerical methods for ordinary differential equations (65L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical analysis (65-XX)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Assessment of hybrid high-order methods on curved meshes and comparison with discontinuous Galerkin methods
- Boundary integral equations
- Product Gauss cubature over polygons based on Green's integration formula
- On the coupling of boundary integral and finite element methods
- Numerical integration of functions with boundary singularities
- A Nyström-based finite element method on polygonal elements
- Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems
- VEM-based tracking algorithm for cohesive/frictional 2D fracture
- The conforming virtual element method for polyharmonic problems
- A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems
- Gauss-Green cubature and moment computation over arbitrary geometries
- Some estimates for virtual element methods
- A posteriori error estimation and adaptivity in \textit{hp} virtual elements
- FEM solution of exterior elliptic problems with weakly enforced integral non reflecting boundary conditions
- Exponential convergence of the \(hp\) virtual element method in presence of corner singularities
- Comparison of high-order curved finite elements
- Basic principles of hp virtual elements on quasiuniform meshes
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- On the Coupling of Boundary Integral and Finite Element Methods
- Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$
- Higher Order BEM-Based FEM on Polygonal Meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A nonconforming Trefftz virtual element method for the Helmholtz problem
- Trefftz Finite Elements on Curvilinear Polygons
- Polynomial preserving virtual elements with curved edges
- Equilibrium analysis of an immersed rigid leaflet by the virtual element method
- The Hitchhiker's Guide to the Virtual Element Method
- The Virtual Element Method with curved edges
- On the Coupling of VEM and BEM in Two and Three Dimensions
- CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES
- A space-time BIE method for wave equation problems: the (two-dimensional) Neumann case
- The Mathematical Theory of Finite Element Methods
- An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems
This page was built for publication: CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems