Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420636 | Applied Mathematics and Computation | 2015 | 11 Pages |
Abstract
An inverse source problem for the heat equation is studied in a bounded domain. A dynamical nonlinear boundary condition (containing the time derivative of a solution) is prescribed on one part of the boundary. This models a non-perfect contact on the boundary. The missing purely time-dependent source is recovered from an additional integral measurement. The global in time existence and uniqueness of a solution in corresponding function spaces is addressed using the backward Euler method for the time discretization. Error estimates for time-discrete approximations are derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. SlodiÄka,