A parallel direct solver for the self-adaptive hp Finite Element Method

  title={A parallel direct solver for the self-adaptive hp Finite Element Method},
  author={Maciej Paszynski and David Pardo and Carlos Torres-Verd{\'i}n and Leszek F. Demkowicz and Victor M. Calo},
  journal={J. Parallel Distrib. Comput.},
In this paper we present a new parallel multi-frontal direct solver, dedicated for the hp Finite Element Method (hp-FEM). The self-adaptive hp-FEM generates in a fully automatic mode, a sequence of hpmeshes delivering exponential convergence of the errorwith respect to the number of degrees of freedom (d.o.f.) as well as the CPU time, by performing a sequence of hp refinements starting from an arbitrary initial mesh. The solver constructs an initial elimination tree for an arbitrary initial… CONTINUE READING
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