On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems
From MaRDI portal
Publication:5096454
DOI10.1137/21M1460776zbMath1501.65145arXiv2107.04794OpenAlexW3182374780MaRDI QIDQ5096454
Letizia Scuderi, Silvia Falletta, Matteo Ferrari, Luca Desiderio
Publication date: 17 August 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04794
boundary element methodexterior Helmholtz problemsnonreflecting boundary conditioncurved virtual element method
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items
A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials, CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries, Developments on the stability of the non-symmetric coupling of finite and boundary elements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equivalent projectors for virtual element methods
- Sharp norm estimates of layer potentials and operators at high frequency
- Assessment of hybrid high-order methods on curved meshes and comparison with discontinuous Galerkin methods
- Boundary integral equations
- A posteriori error estimates for the virtual element method
- Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
- SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
- Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems
- A virtual element method for the wave equation on curved edges in two dimensions
- Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation
- Curvilinear virtual elements for 2D solid mechanics applications
- The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems
- FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
- A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems
- The mixed virtual element method on curved edges in two dimensions
- A fast boundary-finite element approach for estimating anchor losses in micro-electro-mechanical system resonators
- Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation
- Some estimates for virtual element methods
- FEM solution of exterior elliptic problems with weakly enforced integral non reflecting boundary conditions
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant
- Restriction Bounds for the Free Resolvent and Resonances in Lossy Scattering
- The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
- Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Mimetic finite differences for elliptic problems
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- On the Coupling of Boundary Integral and Finite Element Methods
- An analysis of the coupling of finite-element and Nyström methods in acoustic scattering
- Computing Acoustic Waves in an Inhomogeneous Medium of the Plane by a Coupling of Spectral and Finite Elements
- Virtual element method for second-order elliptic eigenvalue problems
- Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Polynomial preserving virtual elements with curved edges
- Efficient Solution of Two-Dimensional Wave Propagation Problems by CQ-Wavelet BEM: Algorithm and Applications
- The Hitchhiker's Guide to the Virtual Element Method
- The Virtual Element Method with curved edges
- Inverse Acoustic and Electromagnetic Scattering Theory
- 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
- The Mathematical Theory of Finite Element Methods
- An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems
- Boundary Element Methods
