Design of Adaptive Finite Element Software - Schmidt A., Siebert K.G.
Schmidt A., Siebert K.G.

Design of Adaptive Finite Element Software

Автор Schmidt A. Siebert K.G.
Издательство Springer
Год 2005
Формат PDF
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During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Nowadays, in numerical mathematics not only simple model problems are treated, but modern and well-founded mathematical algorithms are applied to solve complex problems of real life applications. Such applications are demanding for computational realization and need suitable and robust tools for a flexible and efficient implementation. Modularity and abstract concepts allow for an easy transfer of methods to different applications. Inspired by and parallel to the investigation of real life applications, numerical mathematics has built and improved many modern algorithms which are now standard tools in scientific computing. Examples are adaptive methods, higher order discretizations, fast linear and non-linear iterative solvers, multi-level algorithms, etc. These mathematical tools are able to reduce computing times tremendously and for many applications a simulation can only be realized in a reasonable time frame using such highly efficient algorithms.