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Computing and Visualization in Science

, Volume 7, Issue 3–4, pp 113–119 | Cite as

Efficient solution of lattice equations by the recovery method Part I: Scalar elliptic problems

  • I. Babuška
  • S.A. SauterEmail author
Regular article

Abstract

In this paper, an efficient solver for high dimensional lattice equations will be introduced. We will present a new concept, the recovery method, to define a bilinear form on the continuous level which has equivalent energy as the original lattice equation. The finite element discretisation of the continuous bilinear form will lead to a stiffness matrix which serves as an quasi-optimal preconditioner for the lattice equations. Since a large variety of efficient solvers are available for linear finite element problems the new recovery method allows to apply these solvers for unstructured lattice problems.

Keywords

Bilinear Form Element Discretisation Lattice Equation Multigrid Method Recovery Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.ICESUniversity of Texas at AustinAustinUSA
  2. 2.Institut für MathematikUniversität ZürichZürichSwitzerland

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