Publication: Efficient solution of lattice equations by the recovery method. I. Scalar elliptic problems
Efficient solution of lattice equations by the recovery method. I. Scalar elliptic problems
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Babuska, I., & Sauter, S. A. (2004). Efficient solution of lattice equations by the recovery method. I. Scalar elliptic problems. Computing and Visualization in Science, 7(3–4), 113–119. https://doi.org/10.1007/s00791-004-0146-z
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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 a quasi-optimal preconditioner for the lattice equations. Since a large variety of efficient solvers are available for linear finite element problems the new recovery m
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Babuska, I., & Sauter, S. A. (2004). Efficient solution of lattice equations by the recovery method. I. Scalar elliptic problems. Computing and Visualization in Science, 7(3–4), 113–119. https://doi.org/10.1007/s00791-004-0146-z