Scientific Computing, Applied & Industrial Mathematics Seminar: Wenke Wilhelms

We develop a mimetic multiscale method to simulate quasi-static Maxwell's equations in frequency domain. This is especially useful for extensive geophysical models that include small-scale features. Applying the concept of multiscale methods, we avoid setting up a large and costly system of equations on the fine mesh where the material parameters are discretized on. Instead, we build and solve a system on a much coarser mesh. For doing that, it is inevitable to interpolate between fine and coarse meshes. The construction of this coarse-to-fine interpolation is done by solving local optimization problems on each coarse cell incorporating the fine-mesh features. With our method being mimetic, the properties of the continuous differential operators are preserved in their discrete counterparts and thus, the resulting simulations do not contain spurious modes.