An Algebraic Multigrid Method for Higher-order Finite Element Discretizations

  title={An Algebraic Multigrid Method for Higher-order Finite Element Discretizations},
  author={Shan Shu and D. Sun and J. Xu},
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


Publications citing this paper.
Showing 1-10 of 13 extracted citations


Publications referenced by this paper.
Showing 1-10 of 27 references

AMG for higher-order discretizations of second-order elliptic problems

  • J. Ruge
  • Presented at 11th Copper Mountain Conference on…
  • 2003
1 Excerpt

Algebraic multigrid method on lattice block materials

  • S. Shi, X. Jinchao, X. Yingxiong, L. Zikatanov
  • Recent Progress in Computional and Applied PDEs…
  • 2002
1 Excerpt

The method of alternating projections and the method of subspace corrections on Hilbert space

  • J. Xu, L. Zikatanov
  • J. AMS 15,
  • 2002
2 Excerpts

AMGe based element agglomeration

  • Jones, E P.S.V.J.
  • SIAM J. Sci. Comput
  • 2001
2 Excerpts

Similar Papers

Loading similar papers…