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Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes +1
We study the numerical solution of forward and inverse acoustic scattering problems by randomly shaped obstacles in three-dimensional space using a fast isogeometric boundary eleme…
Space-time shape uncertainties in the forward and inverse problem of electrocardiography
Lia Gander, Rolf Krause, Michael Multerer +1
In electrocardiography, the "classic" inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and a…
A fast direct solver for nonlocal operators in wavelet coordinates
Helmut Harbrecht, Michael Multerer
In this article, we consider fast direct solvers for nonlocal operators. The pivotal idea is to combine a wavelet representation of the system matrix, yielding a quasi-sparse matri…