|Title:|| A MODIFIED ALGEBRAIC MULTIGRID METHOD WITH
APPLICATION TO NONSYMMETRIC AND INDEFINITE PARTIAL DIFFERENTIAL
|Authors:|| Y. Shapira
A modified algebraic multigrid method for the solution of sparse linear systems of equations is presented. It is automatic in the sense that it depends on the linear system of equations solely, unlike classical multigrid which requires information about the differential equation. It is well-defined regardless of any special structure of the coefficient-matrix. It is applicable to non-uniform grids and non-rectangular domains almost as efficiently as for uniform grids on a rectangle. When supplemented with an acceleration method, it converges for non-symmetric, singular perturbation and indefinite equations in a small number of iterations.
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