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Optimization of time dependent adaptive finite element methods

Author(s): K.H. Elmer Abstract: To obtain reliable numerical solutions of transient dynamic problems and wave propagation problems with high accuracy it is necessary to use models with many degrees of freedom and many time steps. New algorithms and methods are de- veloped to optimize the finite element model and to minimize the computational time on high-performance computers. The moving wave front is used for a broad time dependent mesh refinement, based on intensity vectors and the speed of wave propagation (intensity indi- cator), several time steps in advance. The a-posteriori Zienkiewicz-Zhu error indicator controls the adaptive mesh refinement. The implicit-explicit algorithm for direct time integration is based upon operator splitting and mesh partitions. The algorithm avoids subcycling on vector- and parallel-computers and us... Pages: 10 Size: 878 kb Paper DOI: 10.2495/HPC970211

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