Numerical evaluation of hypersingular integrals

From MaRDI portal
Publication:1334749

DOI10.1016/0377-0427(94)90287-9zbMath0818.65016OpenAlexW2007946663MaRDI QIDQ1334749

Giovanni Monegato

Publication date: 22 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90287-9



Related Items

Computation of the Madelung constant for hypercubic crystal structures in any dimension, Stress intensity factors for bonded two half planes weakened by thermally insulated cracks, Bivariate quasi-interpolating splines with applications in numerical integration, Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods, Quadrature rules for finite element approximations of 1D nonlocal problems, A space-time BIE method for 2D wave equation problems with mixed boundary conditions, Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications, Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals, Numerical solution and its analysis for a system of hypersingular integral equations, A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels, Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains, The CPCT based CBIE and HBIE for potential problems in three dimensions, Implementation of CPCT based BIEs for 3D elasticity and its application in fracture mechanics, A novel high-performance quadrature rule for BEM formulations, The superconvergence of the composite midpoint rule for the finite-part integral, On the regularization of Cauchy-type integral operators via the density interpolation method and applications, Superconvergence of Newton-Cotes rule for computing hypersingular integral on a circle, The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions, Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\), Uniform approximation to Cauchy principal value integrals with logarithmic singularity, Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation, Extrapolation methods to compute hypersingular integral in boundary element methods, Some numerical algorithms to evaluate Hadamard finite-part integrals, Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions, Error bounds for spline-based quadrature methods for strongly singular integrals, A Gauss quadrature rule for hypersingular integrals, Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems, Implementation of a symmetric boundary element method in transient heat conduction with semi-analytical integrations, Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners, Compact numerical quadrature formulas for hypersingular integrals and integral equations, Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches, On uniform approximations to hypersingular finite-part integrals, Numerical evaluation of certain hypersingular integrals using refinable operators, Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands, Analytical integrations in 2D BEM elasticity, Asymptotic expansions of the error for hyper-singular integrals with an interval variable, Numerical solution of a certain hypersingular integral equation of the first kind, A new flux integral relationship for half-space transient heat conduction with arbitrary initial condition, THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation, Algorithms for approximating finite Hilbert transform with end-point singularities and its derivatives, A product integration rule for hypersingular integrals on \((0,+\infty)\), Unnamed Item, Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media, Uniform approximations to finite Hilbert transform and its derivative., Three-dimensional interfacial Green's functions in anisotropic bimaterials, Distributed dislocation approach for cracks in couple-stress elasticity: shear modes, A least squares-based approach to evaluating strongly singular integrals, Martensen splines and finite-part integrals, Numerical computation of hypersingular integrals on the real semiaxis, Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method, A new algorithm for Cauchy principal value and Hadamard finite-part integrals, Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs, An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution, Toeplitz-type approximations to the Hadamard integral operator and their applications to electromagnetic cavity problems, A note on spline approximation for Hadamard finite-part integrals, On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis, A fast and well-conditioned spectral method for singular integral equations, Numerical steepest descent method for Hankel type of hypersingular oscillatory integrals in electromagnetic scattering problems, Evaluation of finite part integrals using a regularization technique that decreases instability, The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application, The trapezoidal rule for computing supersingular integral on interval, The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval, Integral equations with hypersingular kernels--theory and applications to fracture mechanics, Two boundary integral equation methods for linear elastodynamics problems on unbounded domains, Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels, Finite-part integrals over polygons by an 8-node quadrilateral spline finite element, Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM, Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity, Numerical integration of functions with endpoint singularities and/or complex poles in 3D Galerkin boundary element methods, Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels, Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions, Accuracy optimal methods for evaluating hypersingular integrals, Numerical solution for the thermally insulated cracks in bonded dissimilar materials using hypersingular integral equations, Definitions, properties and applications of finite-part integrals, Nodal-Type Newton-Cotes Rules for Fractional Hypersingular Integrals, Indirect formulations for symmetric Galerkin BEM and space derivative problems, Adjoint-based interfacial control of viscous drops, Newton-Cotes formulae for the numerical evaluation of certain hypersingular integrals, Some numerical applications of generalized Bernstein operators, Superconvergence of Hermite rule for hypersingular integrals on interval, Asymptotic expansions for two-dimensional hypersingular integrals, The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals, Unnamed Item, HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?, Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals, Euler-Maclaurin expansions and approximations of hypersingular integrals, Trapezoidal rule for computing supersingular integral on a circle



Cites Work