\(hp\) fast multipole boundary element method for 3D acoustics
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Publication:6556875
DOI10.1002/nme.5434zbMath1548.65364MaRDI QIDQ6556875
Kerstin Vater, Sören Keuchel, Otto von Estorff
Publication date: 17 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
boundary element methodadaptive mesh refinementHelmholtz equationfast multipole methodBurton-Miller formulationarbitrary element order
Hydro- and aero-acoustics (76Q05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
- Unnamed Item
- An improved form of the hypersingular boundary integral equation for exterior acoustic problems
- Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems
- Simple a posteriori error estimators for the \(h\)-version of the boundary element method
- Rapid solution of integral equations of classical potential theory
- A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- A combination of the fast multipole boundary element method and Krylov subspace recycling solvers
- ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D
- Error indicators for adaptive mesh refinement in the boundary element method—a new approach
- A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem
- Adaptiveh-,p- andhp-versions for boundary integral element methods
- A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
- Grid optimization for the boundary element method
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A simple error estimator and adaptive procedure for practical engineerng analysis
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
- Methode der Randelemente in Statik und Dynamik
- MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
- Adaptive Boundary Element Mevthods for Some First Kind Integral Equations
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- \(hp\)-adaptive two-level methods for boundary integral equations on curves
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