Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions
Finite Element Solution of Diffusion Problems with Irregular Data.
Finite Elements for Parabolic Equations Backwards in Time
Finite-volume level set method and its adaptive version in completing subjective contours
In this paper we deal with a problem of segmentation (including missing boundary completion) and subjective contour creation. For the corresponding models we apply the semi-implicit finite volume numerical schemes leading to methods which are robust, efficient and stable without any restriction to a time step. The finite volume discretization enables to use the spatial adaptivity and thus improve significantly the computational time. The computational results related to image segmentation with partly...
Flows of heat and time moving boundary
Formulation and Analysis of a Parabolic Transmission Problem on Disjoint Intervals
Fully Discrete Galerkin Approximations of Parabolic Boundary-Value Problems with Nonsmooth Boundary Data.
Fundamental solution of initial-boundary value problem for fourth-order pseudoparabolic equations with nonsmooth coefficients.