Seminar in Numerical Analysis: Larisa Beilina (Chalmers tekniska högskola)
We will discuss how to apply an adaptive finite element method (AFEM) for numerical solution of an electromagnetic volume integral equation. The problem of solution of this equation is formulated as an optimal control problem for minimizing of the Tikhonov's regularization functional. A posteriori error estimates for the error in the obtained finite element reconstruction and error in the Tikhonov's functional will be presented.
Based on these estimates, different adaptive finite element algorithms are formulated. Numerical examples will show efficiency of the proposed adaptive algorithms to improve quality of 3D reconstruction of target during the process of microwave thermometry which is used in cancer therapies. This is joint work with the group of Biomedical Imaging at the Department of Electrical Engineering at CTH, Chalmers.
For further information about the seminar, please visit this webpage.
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