MATHICSE Technical Report: An optimization based coupling method for multiscale problems
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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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The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to truncate the unbounded exterior and limit the computation to a finite region. At the artificial boundary a boundary condition is then needed, which allows th ...
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 ...
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 ...
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 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 ...
Since it generates a multitude of interacting cracks, the computational modeling of fragmentation requires special attention. The discontinuous Galerkin formulation provides an efficient scalable framework to simulate non-linear dynamics of spatially discon ...
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 ...
The present report addresses the rigorous study of convergence of a stabilized finite volume element method applied to stationary and time dependent Stokes problems. Some preliminary results about the existence and uniqueness of solution at continuous and ...