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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)
The need for an advanced equation processing frame work offering high performance as well as high expressiveness is presented. A system of coupled non-linear equations from the field of TCAD is used to demonstrate the approach and results for the investigated equations are presented.
We present a generic library which provides means to specify partial differential equations using different discretization schemes, dimensions, and topologies. Due to the common interfaces for simulation domains as well as numerical algebra we have an overall high inter-operability.
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 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)
This work analyzes the performance of high-precision interconnect simulation tools on refined meshes with guaranted accuracy. On the one hand, the integrated circuits are subject to an ongoing miniaturization which results in ever increasing computing power. On the other hand, the simulation of these integrated circuits demands more sophisticated simulation… (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)
An adaptive three-dimensional mesh generation strategy is presented. In contrast to other work which is based on simple meshing techniques, we use advanced unstructured meshing techniques, driven by error estimators, to realize automatic adaptation and guarantee quality. The mesh optimization strategy is based on a classification scheme with a fuzzy… (More)
A high performance generic environment for TCAD and general scientific computing is presented that imposes no restrictions on geometry, topology or discretization schemes, so that equations and even complete models can easily be implemented. The generic programming approach with the corresponding base concepts, and the applicability in the area of TCAD with… (More)
We present a novel error estimation driven threedimensional unstructured mesh adaptation technique based on a posteriori error estimation techniques with upper and lower error bounds. In contrast to other work [1, 2] we present this approach in three dimensions using unstructured meshing techniques to potentiate an automatically adaptation of… (More)