Answers are grounded in this paper and cite their sources.
A problem of identifying possibly discontinuous diffusion coefficients in parabolic equations is considered. General theorems on existence and convergence of Galerkin approximations are proved in L¹ setting. Classes of functions of bounded variation are discussed and the variation estimates are obtained. A double-discretization method with the variations constraints is used in two- and three-dimensional problems and the numerical experiments are presented.
No takes yet. Share an insight, caveat, or question.
Semion Gutman (1990) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: