Finite element programs require a discretization of the geometry like a refined computational mesh. The size of the resulting elements should often be different in different parts of the mesh. The mesh size parameters origin from a priori knowledge or from a posteriori error estimation in a self-adaptive finite element environment.

Large-scale problems in computational mechanics are solved preferably on parallel computers. Domain decomposition is usually necessary in these cases. This decomposition is often based on existing discretization.

In contrast to the common approach to generate and split the finite element mesh on a sequential machine to perform parallel solution we propose a parallel split and generate method without an pre-existing mesh to avoid the serial bottleneck and to improve the partitioning quality.

Input parameters for the proposed parallel adaptive mesh generator are geometry information from usual CAD systems, mesh density information and finite element modeling parameters like boundary conditions, loadings and material properties. Other input parameters can result from the computed problem like soil section in discretization of geological areas. The method ensures an equally distributed load according to equally distributed number of finite elements.

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