Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners
From MaRDI portal
Publication:1685114
DOI10.1016/j.jcp.2016.07.041zbMath1378.65078OpenAlexW2517822255MaRDI QIDQ1685114
Publication date: 13 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.07.041
weakly singular integralsNyström methodhypersingular integralsGauss-Jacobi quadrature rulesnearly singular integralsstrongly singular integrals
Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items
An efficient quadrature rule for weakly and strongly singular integrals ⋮ Numerical steepest descent method for Hankel type of hypersingular oscillatory integrals in electromagnetic scattering problems ⋮ Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels ⋮ Boundary element analysis of the orthotropic potential problems in 2-d thin structures with the higher order elements ⋮ On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quadrature by expansion: a new method for the evaluation of layer potentials
- A fast direct solver for the integral equations of scattering theory on planar curves with corners
- Convergence of quadratures for Cauchy principal value integrals
- Universal quadratures for boundary integral equations on two-dimensional domains with corners
- On the Nyström discretization of integral equations on planar curves with corners
- A modification of the quadrature method for the direct numerical solution of singular integral equations
- A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains
- A Nyström method for boundary integral equations in domains with corners
- Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
- The numerical evaluation of one-dimensional Cauchy principal value integrals
- On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals: An addendum
- Numerical evaluation of hypersingular integrals
- An optimal order collocation method for first kind boundary integral equations on polygons
- Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains
- A high frequency boundary element method for scattering by a class of nonconvex obstacles
- Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods
- An algorithm for the numerical evaluation of certain Cauchy principal value integrals
- Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
- An Introduction to the Locally-Corrected Nyström Method
- A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
- On the numerical solution of singular integro-differential equations
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- A numerical technique for the solution of singular integral equations of the second kind
- On the solution of integral equations with strongly singular kernels
- On quadrature formulas for singular integral equations of the first and the second kind
- Numerical integration methods for the solution of singular integral equations
- Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities
- Locally Corrected Multidimensional Quadrature Rules for Singular Functions
- Remarks on the Gauss quadrature rule for a particular class of finite‐part integrals
- Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
- Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals
- Machine Precision Evaluation of Singular and Nearly Singular Potential Integrals by Use of Gauss Quadrature Formulas for Rational Functions
- Nystrom-Type Method in Three-Dimensional Electromagnetic Diffraction by a Finite PEC Rotationally Symmetric Surface
- High Order Representations for Singular Currents at Corners
- Full-Wave Analysis and Optimization of a TARA-Like Shield-Assisted Paraboloidal Reflector Antenna Using a Nystrom-Type Method
- On the numerical solution of singular integral equations
- Numerical quadratures for singular and hypersingular integrals
