An Algebraic Multigrid Method for Higher-order Finite Element Discretizations

@article{Shu2006AnAM,
  title={An Algebraic Multigrid Method for Higher-order Finite Element Discretizations},
  author={Shan Shu and D. Sun and J. Xu},
  journal={Computing},
  year={2006},
  volume={77},
  pages={347-377}
}
In this paper, we will design and analyze a class of new algebraic multigrid methods for algebraic systems arising from the discretization of second order elliptic boundary value problems by high-order finite element methods. For a given sparse stiffness matrix from a quadratic or cubic Lagrangian finite element discretization, an algebraic approach is carefully designed to recover the stiffness matrix associated with the linear finite element disretization on the same underlying (but… CONTINUE READING

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