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Numerical simulation methods

The numerical approximation of partial differential equations is a challenging task. Many problems of practical interest can only be solved by means of modern supercomputers.
Most of all, the efficiency of the simulation depends on the use of special numerical algorithms. Our main research interest is the development and analysis of efficient and reliable algorithms for the numerical solution of partial differential equations. An emphasis is placed on nonconforming discretization techniques, adaptive multilevel schemes, and domain decomposition methods. These techniques provide flexible and powerful tools for the numerical approximation of partial differential equations arising from the modeling of many interesting applications in science and engineering.

Flow chart on numerical simulation tasks (PDF in German)