Planewave Density Interpolation Methods for 3D Helmholtz Boundary Integral Equations
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Publication:5230643
DOI10.1137/19M1239866zbMath1430.45001arXiv1901.07437OpenAlexW2962977351WikidataQ127566806 ScholiaQ127566806MaRDI QIDQ5230643
Catalin Turc, Carlos Pérez-Arancibia, Luiz M. Faria
Publication date: 28 August 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.07437
Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear integral equations (45A05) Singular integral equations (45E99)
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Uses Software
Cites Work
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- A robust and non-singular formulation of the boundary integral method for the potential problem
- On numerical cubatures of singular surface integrals in boundary element methods
- On the efficient use of the Galerkin-method to solve Fredholm integral equations
- On numerical cubatures of nearly singular surface integrals arising in BEM collocation
- A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations
- The computation of potentials near and on the boundary by an extraction technique for boundary element methods
- Singularities of electromagnetic fields in polyhedral domains
- New identities for fundamental solutions and their applications to non-singular boundary element formulations
- Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions
- Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
- Hierarchical Matrices: Algorithms and Analysis
- Non-singular boundary integral methods for fluid mechanics applications
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- High degree efficient symmetrical Gaussian quadrature rules for the triangle
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- On the extraction technique in boundary integral equations
- Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra
- Transformation of hypersingular integrals and black-box cubature
- Calculation of cfie impedance matrix elements with RWG and n x RWG functions
- Singularity Subtraction Technique for High-Order Polynomial Vector Basis Functions on Planar Triangles
- Generalized Taylor–Duffy Method for Efficient Evaluation of Galerkin Integrals in Boundary-Element Method Computations
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- Gaussian quadrature formulas for triangles
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
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