Michael Spevak

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A generic scientific simulation environment is presented which imposes no restriction in topological, dimensional, and functional issues. Therewith complete discretization schemes like finite volumes or finite elements can be expressed directly in C++. The new approaches as well as the applicability and the performance related to well established(More)
We discuss discretization schemes for the Poisson equation, the isothermal drift-diffusion equations, and higher order moment equations derived from the Boltzmann transport equation for general coordinate systems. We briefly summarize the method of dimension reduction when the problem does not depend on one coordinate. Discretization schemes for(More)
A three-dimensional unstructured mesh adaptation technique coupled to a posteriori error estimation techniques is presented. In contrast to other work [1,2] the adaptation in three dimensions is demonstrated using advanced unstructured meshing techniques to realize automatic adaptation. The applicability and usability of this complete automation are(More)
We present discretization schemes for the Poisson equation , the isothermal drift-diffusion equations, and a generalized higher-order moment equation of the Boltz-mann transport equation for general orthogonal coordinate systems like cylindrical and spherical systems. The use of orthogonal coordinate systems allows to reduce the dimension of the problem(More)
We present an orthogonal topological framework which is able to provide incidence traversal operations for all topological elements. The run-time performance of this topological traversal operations can be optimized at a highly expressive level, where the abstraction penalty imposed by this approach is negligible. For the topological storage we use(More)
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