Operator preconditioning with efficient applications for nonlinear elliptic problems
Janos Karátson (2012)
Open Mathematics
Similarity:
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.