Abstract
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 $L^1 $ 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
