Институт вычислительной математики и математической геофизики СОРАН

Abstracts

Численное решение дифференциальных и интегральных уравнений

In this paper, we substantiate the use of a vector finite element method for solving a regularized stationary magnetic problem, which is formulated in terms of a vector magnetic potential. To approximate the generalized solution, we make use of the Nedelec second kind vector elements of first order on tetrahedrons. Existence and uniqueness of solution to a discrete regularized problem and its convergence to a generalized solution for the case of an inhomogeneous domain (according to electromagnetic properties) are justified. Some issues of the numerical solution to a discrete regularized problem are discussed. Approaches to optimize the algorithms are shown on a series of numerical experiments.

Note. Abstracts are published in author's edition

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