Analytical expressions for singular integrals arising from the 3D Laplace and Stokes kernels when using constant or linear triangular and quadrilateral boundary elements
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Publication:6539797
DOI10.1016/j.enganabound.2023.02.057zbMATH Open1537.65182MaRDI QIDQ6539797
Publication date: 15 May 2024
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
singular integralsLaplace equationStokes problemcreeping flowanalytical expressionquadrilateral boundary elementstriangular boundary elements
Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
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- Quadrature by expansion: a new method for the evaluation of layer potentials
- A Nyström method for weakly singular integral operators on surfaces
- An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
- A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
- An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
- A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM
- A highly accurate boundary integral equation method for surfactant-laden drops in 3D
- Analytical evaluation of the BEM singular integrals for 3D Laplace and Stokes flow equations using coordinate transformation
- Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
- A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
- Semi-analytic treatment of nearly-singular Galerkin surface integrals
- Residual based error estimate and quasi-interpolation on polygonal meshes for high order BEM-based FEM
- Highly accurate quadrature schemes for singular integrals in energetic BEM applied to elastodynamics
- Adaptive quadrature rules for Galerkin BEM
- Corrected trapezoidal rules for singular implicit boundary integrals
- A semi-analytical treatment for nearly singular integrals arising in the isogeometric boundary element method-based solutions of 3D potential problems
- Regularized single and double layer integrals in 3D Stokes flow
- Stochastic-deterministic boundary element modelling of transcranial electric stimulation using a three layer head model
- Dynamics-based analytical solutions to singular integrals for elastodynamics by time domain boundary element method
- A low-frequency fast multipole boundary element method based on analytical integration of the hypersingular integral for 3D acoustic problems
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- Explicit expressions for 3D boundary integrals in potential theory
- A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
- Some notes on singular integral techniques in boundary element analysis
- A comparison of transformation methods for evaluating two-dimensional weakly singular integrals
- Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra
- Direct Evaluation of Hypersingular Galerkin Surface Integrals
- Exact integrals for three‐dimensional boundary element potential problems
- Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods
- Machine Precision Evaluation of Singular and Nearly Singular Potential Integrals by Use of Gauss Quadrature Formulas for Rational Functions
- Numerical quadratures for singular and hypersingular integrals
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