Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method
DOI10.1016/J.AMC.2017.08.027zbMath1426.65034OpenAlexW2751051717MaRDI QIDQ1740254
Cheuk-Yu Lee, Hui Wang, Qing-Hua Qin
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.08.027
hypersingular integralCauchy principal value integralbarycentric rational interpolationHadamard finite part integralcomplex variable differentiation method
Integration of real functions of several variables: length, area, volume (26B15) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
- Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation
- Definitions, properties and applications of finite-part integrals
- On the weights of certain quadratures for the numerical evaluation of Cauchy principal value integrals and their derivatives
- The numerical evaluation of Hadamard finite-part integrals
- A quadrature rule for finite-part integrals
- A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
- The method of fundamental solutions for elliptic boundary value problems
- Nonlinear analysis of Reissner plates on an elastic foundation by the BEM
- Numerical evaluation of hypersingular integrals
- Hybrid Trefftz finite-element approach for plate bending on an elastic foundation
- Internal stresses in inelastic BEM using complex-variable differentiation.
- Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval
- The radial integration method for evaluation of domain integrals with boundary-only discretization.
- Variational formulations for TFEM of piezoelectricity.
- General solutions for thermopiezoelectrics with various holes under thermal loading
- Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions
- An improved direct method for evaluating hypersingular stress boundary integral equations in BEM
- Hypersingular boundary integral equations have an additional free term
- Recent advances in linear barycentric rational interpolation
- A new inverse analysis approach for multi-region heat conduction BEM using complex-variable-differentiation method
- Barycentric rational interpolation with no poles and high rates of approximation
- A meshless model for transient heat conduction in functionally graded materials
- Generalised functions and divergent integrals
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- Symmetric Galerkin Boundary Element Method
- Some New Aspects of Rational Interpolation
- 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
- Evaluations of hypersingular integrals using Gaussian quadrature
- Barycentric Lagrange Interpolation
- Direct Evaluation of Hypersingular Galerkin Surface Integrals
- HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?
- Fast and Accurate Computation of Hypersingular Integrals in Galerkin Surface Integral Equation Formulations via the Direct Evaluation Method
- The complex-step derivative approximation
- Numerical quadratures for singular and hypersingular integrals
This page was built for publication: Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method