MATHICSE Technical Report: An optimization based coupling method for multiscale problems
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We discuss computationally efficient ways of accounting for the impact of uncertainty, e.g., lack of detailed knowledge about sources, materials, shapes etc, in computational time-domain electromagnetics. In contrast to classic statistical Monte Carlo base ...
We discuss computationally efficient ways of accounting for the impact of uncertainty, e.g., lack of detailed knowledge about sources, materials, shapes etc, in computational time-domain electromagnetics. In contrast to classic statistical Monte Carlo base ...
We discuss computationally efficient ways of accounting for the impact of uncertainty, e. g., lack of detailed knowledge about sources, materials, shapes, etc., in computational time-domain electromagnetics. In contrast to classic statistical Monte Carlo-b ...
We describe a multiscale finite element (FE) solver for elliptic or parabolic problems with highly oscillating coefficients. Based on recent developments of the so-called heterogeneous multiscale method (HMM), the algorithm relies on coupled macro- and mic ...
Several old and new finite-element preconditioners for nodal-based spectral discretizations of −laplace(u) = f in the domain Ω=(−1,1)d (d = 2 or 3), with Dirichlet or Neumann boundary conditions, are considered and compared in terms of bothcondi ...
Reconstruction algorithms for Optical Diffuse Tomography (ODT) rely heavily on fast and accurate forward models. Arbitrary geometries and boundary conditions need to be handled rigorously since they are the only input to the inverse problem. From this pers ...
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