Numerical Resolution of Conservation Laws on Graphic Cards
Tuesday, 18.6.13, 11:00-12:00, Raum 226, Hermann-Herder-Str. 10
We present several numerical simulations of conservation laws on recent multicore processors, such as GPUs, using the OpenCL programming framework. Depending on the chosen numerical method, different implementation strategies have to be considered, for achieving the best performance. We explain how to program efficiently several methods: a finite volume approach on a structured grid, a high order Discontinuous Galerkin (DG) method on an unstructured grid and a Particle-In-Cell (PIC) method. The three methods are respectively applied to a two-fluid computation, a Maxwell simulation and a Vlasov-Maxwell simulation.
Analytical and Numerical Methods in Shape Optimization
Tuesday, 18.6.13, 14:00-15:00, Raum 226, Hermann-Herder-Str. 10
Shape optimization is quite indispensable for designing and\nconstructing industrial components. Many problems that arise in application, particularly in structural mechanics and in the optimal control of distributed parameter systems, can be formulated as the minimization of functionals defined over a class of admissible domains.\n\nThe present talk aims at surveying on shape optimization.\nEspecially, the following items will be addressed:\n\n- analysis of shape optimization problems,\n\n- the discretization of shapes,\n\n- first and second order shape optimization methods,\n\n- existence and convergence of approximate shapes,\n\n- efficient numerical techniques to compute the state equation.