In solving large linear systems arising from the discretization of elliptic problems by iteration, it is essential to use efficient preconditioners. The preconditioners should result in a mesh independent linear or, possibly even superlinear, convergence rate. It is shown that a general way to construct such preconditioners is via equivalent pairs or compactequivalent pairs of elliptic operators. © 2008 Springer.
CITATION STYLE
Axelsson, O., & Karátson, J. (2008). Mesh independent convergence rates via differential operator pairs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4818 LNCS, pp. 3–15). https://doi.org/10.1007/978-3-540-78827-0_1
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