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Article information
2002 , Volume 7, ¹ 1, p.54-65
Vatulyan A.O., Kovalev O.V., Soloviev A.N.
New method of boundary integral equations in boundary value problems for elliptical operators and its numerical realization
New methods for solving boundary value problems for elliptical operators are developed. The original problems are reduced to systems of non-classical boundary integral equations of the first kind with smooth kernels as distinct from the classical singular boundary integral equations. Some approaches to the numerical solution of these systems on the base of combination of spline approximation and regularization methods are discussed. Numerical examples are provided.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65N38 Boundary element methods
Keywords: boundary element method, Laplace operator, Helmholtz operator, Fourier transform, Paige-Saunders method, elliptic equations, boundary integral equations, spline approximation, regularization methods, numerical experiments
Author(s):
Vatulyan Alexander Ovanesovich
Dr. , Professor
Position: Head of Chair
Office: Institute of Mathematics, Mechanics and Computer Sciences Southern Federal University
Address: 344090, Russia, Rostov, Milchakov Street, 8-a
Phone Office: (863) 2975114
E-mail: vatulyan@math.rsu.ru
Kovalev O V
Office: Rostov State University
Address: Russia, Rostov, Rostov, Milchakov Street, 8-a
E-mail: kov@metod.ru
Soloviev Arcady Nickolaevich
PhD. , Associate Professor
Position: Associate Professor
Office: Don State Technical University
Address: 344010, Russia, Rostov-Don, sq. Gagarina 1
Phone Office: (863) 273 85 51
E-mail: soloviev@math.rsu.ru
Bibliography link:
Vatulyan A.O., Kovalev O.V., Soloviev A.N. New method of boundary integral equations in boundary value problems for elliptical operators and its numerical realization // Computational technologies. 2002. V. 7. ¹ 1. P. 54-65
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