Quadratures for Boundary Integral Equations of the First Kind with Logarithmic Kernels
نویسندگان
چکیده
منابع مشابه
CAS WAVELET METHOD FOR THE NUMERICAL SOLUTION OF BOUNDARY INTEGRAL EQUATIONS WITH LOGARITHMIC SINGULAR KERNELS
In this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the Laplacian equation. Themethod is based on the use of the Galerkin method with CAS wavelets constructed on the unit interval as basis.This approach utilizes the non-uniform Gauss-Legendre quadrature rule for ...
متن کاملcas wavelet method for the numerical solution of boundary integral equations with logarithmic singular kernels
in this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the laplacian equation. themethod is based on the use of the galerkin method with cas wavelets constructed on the unit interval as basis.this approach utilizes the non-uniform gauss-legendre quadrature rule for ...
متن کاملWavelet Approximations for First Kind Boundary Integral Equations on Polygons
An elliptic boundary value problem in the interior or exterior of a polygon is transformed into an equivalent rst kind boundary integral equation. Its Galerkin discretization with N degrees of freedom on the boundary with spline wavelets as basis functions is analyzed. A truncation strategy is presented which allows to reduce the number of nonzero elements in the stiiness matrix from O(N 2) to ...
متن کاملCAS Wavelet Method for the Numerical Solution of Boundary Integral Equations with Logarithmic Singular Kernels
In this paper, we present a computational method for solving boundary integral equations with logarithmic singular kernels which occur as reformulations of a boundary value problem for Laplace’s equation. The method is based on the use of the Galerkin method with CAS wavelets constructed on the unit interval as basis. This approach utilizes the nonuniform Gauss-Legendre quadrature rule for appr...
متن کاملThe Regularizing Properties of Multistep Methods for First Kind Volterra Integral Equations with Smooth Kernels
In the present paper we consider the regularizing properties of linear multistep methods for the stable solution of perturbed Volterra integral equations of the first kind with smooth kernels. Numerical results are also given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 1996
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075938