Abstract:
In this paper, we consider the problem of approximate computation of the torsional rigidity coefficient for simply-connected domains. An approach to the distance function determination is defined; a numerical method for calculating the moment of inertia about a boundary is proposed. Using a numerical experiment, the estimate for the equivalence constant of the torsional rigidity coefficient and the moment of inertia about a boundary is improved.
Keywords:torsional rigidity, moment of inertia about a boundary, conjugate gradients method, Dirichlet problem.