Operator preconditioning with efficient applications for nonlinear elliptic problems |
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Authors: | Janos Karátson |
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Affiliation: | 1.Department of Applied Analysis and Computational Mathematics,ELTE University,Budapest,Hungary |
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Abstract: | This paper is devoted to the numerical solution of nonlinear elliptic partial differential equations. Such problems describe various phenomena in science. An approach that exploits Hilbert space theory in the numerical study of elliptic PDEs is the idea of preconditioning operators. In this survey paper we briefly summarize the main lines of this theory with various applications. |
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