ON THE BOUNDARY ELEMENT METHOD FOR BOUNDARY VALUE PROBLEMS FOR CONVOLUTIONAL SYSTEMS OF ELLIPTIC EQUATIONS

For the numerical solution of boundary value problems for in finite systems with convolutional structure that consist of the second order elliptic equations, a boundary elements method is suggested. The solution is given as a sequence of single layer potentials. For the approximation of the unknown densities of the potentials a basis that consists of piece-wise constant functions built on triangular boundary elements is used. A priory error estimates are obtained. Results of a series of computational experiments are given.