Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions
From MaRDI portal
Publication:5038401
DOI10.1137/20M1334802MaRDI QIDQ5038401
Timo Betcke, Matthew W. Scroggs, Erik Burman
Publication date: 30 September 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.13424
Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Strong solutions to PDEs (35D35)
Uses Software
Cites Work
- Symmetric boundary integral formulations for Helmholtz transmission problems
- Stabilized boundary element methods for exterior Helmholtz problems
- Time harmonic wave diffraction problems in materials with sign-shifting coefficients
- Eighty years of Sommerfeld's radiation condition
- When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)?
- A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
- Mixed boundary integral methods for Helmholtz transmission problems
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Wavenumber-Explicit $hp$-BEM for High Frequency Scattering
- Mapping Properties of Combined Field Helmholtz Boundary Integral Operators
- A new frequency-uniform coercive boundary integral equation for acoustic scattering
- Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- The Finite Element Method with Penalty
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method
- Product Algebras for Galerkin Discretisations of Boundary Integral Operators and their Applications
- Boundary Element Methods with Weakly Imposed Boundary Conditions
- Stabilized FEM‐BEM Coupling for Helmholtz Transmission Problems
- A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems
- Acoustic and electromagnetic equations. Integral representations for harmonic problems