A modified Gauss quadrature formula with special integration points for evaluation of quasi-singular integrals
DOI10.1016/j.enganabound.2006.05.001zbMath1195.65027OpenAlexW1979977928MaRDI QIDQ1958223
George J. Tsamasphyros, Efstathios E. Theotokoglou
Publication date: 28 September 2010
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.05.001
numerical integrationelasticityboundary element methodquadrature formulaLagrangian interpolationCauchy type integralsnearby poles
Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Gauss quadrature formula for Cauchy type integrals
- On polynomials orthogonal with respect to particular variable-signed weight functions
- Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
- Numerical solution of a class of integral equtions arising in two- dimensional aerodynamics
- A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
- CPV and HFP integrals and their applications in the boundary element method
- Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity
- Finite parts of singular and hypersingular integrals with irregular boundary source points
- Derivation of exact expressions for two-dimensional singular and finite-part integrals applicable in solid mechanics
- New identities for fundamental solutions and their applications to non-singular boundary element formulations
- An algorithm for the numerical evaluation of certain Cauchy principal value integrals
- Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
- The Two-Dimensional Oscillating Airfoil: A New Implementation of the Galerkin Method
- Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
- [https://portal.mardi4nfdi.de/wiki/Publication:3668106 Zur Integralgleichungsmethode bei verbundenen oder sich ber�hrenden Halbebenen mit Rissen oder L�chern;Integral-equation solution for half planes bonded together or in contact and containing internal cracks or holes]
- Integral equations for any configuration of curved cracks and holes in an elastic strip
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- ORTHOGONAL POLYNOMIAL SOLUTIONS TO SOME MIXED BOUNDARY-VALUE PROBLEMS IN ELASTICITY THEORY
- Numerical solution of systems of singular integral equations with
- Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
- Some notes on singular integral techniques in boundary element analysis
- Boundary integral equations for thin bodies
- A composite transformation for numerical integration of singular integrals in the BEM
- Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
- Two trigonometric quadrature formulae for evaluating hypersingular integrals
- Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals
- Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
- Gauss quadrature rules for finite part integrals
- Computation of Gauss-type quadrature formulas
This page was built for publication: A modified Gauss quadrature formula with special integration points for evaluation of quasi-singular integrals