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An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization

  • Olaf Steinbach
  • Huidong Yang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10665)

Abstract

This work is devoted to numerical studies on an algebraic multigrid preconditioned GMRES method for solving the linear algebraic equations arising from a space–time finite element discretization of the heat equation using h–adaptivity on tetrahedral meshes. The finite element discretization is based on a Galerkin–Petrov variational formulation using piecewise linear finite elements simultaneously in space and time. In this work, we focus on h–adaptivity relying on a residual based a posteriori error estimation, and study some important components in the algebraic multigrid method for solving the space–time finite element equations.

Keywords

Adaptive space–time finite element Algebraic multigrid 

Notes

Acknowledgements

This work has been supported by the Austrian Science Fund (FWF) under the Grant SFB Mathematical Optimisation and Applications in Biomedical Sciences.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Institut für Numerische MathematikTechnische Universität GrazGrazAustria

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