Activity: Talk or presentation › Oral presentation
In many applications the treatment of interfaces is challenging. A particular difficulty arises if the geometry is only defined imprecisely. In this case, it is desirable to use methods which are robust and efficient. To this aim, we propose in this talk a diffuse interface method as a tool for the solution of variational inverse problems. The main idea is to replace variational integrals of the original problem by a weighted average of integrals of perturbed domains. This allows, for example, the use of structured grids in subsequent discretization procedures, which in turn might be used in the construction of very efficient methods. As a particular example of a variational regularization method, we will discuss Tikhonov regularization when applied to fluorescence optical tomography.
28 Jun 2017
Platform for Advanced Scientific Computing Conference, PASC 2017