Nonlinear elliptic problems with the method of finite volumes.
Khattri, Sanjay Kumar (2006)
Differential Equations & Nonlinear Mechanics
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Displaying similar documents to “A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction”
Nonlinear elliptic problems with the method of finite volumes.
A Note on the “Constructing” of Nonstationary Methods for Solving Nonlinear Equations with Raised Speed of Convergence
Kyurkchiev, Nikolay, Iliev, Anton (2009)
Serdica Journal of Computing
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This paper is partially supported by project ISM-4 of Department for Scientific Research, “Paisii Hilendarski” University of Plovdiv. In this paper we give methodological survey of “contemporary methods” for solving the nonlinear equation f(x) = 0. The reason for this review is that many authors in present days rediscovered such classical methods. Here we develop one methodological schema for constructing nonstationary methods with a preliminary chosen speed of convergence. ...
An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems
Xiao-Chuan Cai, Leszek Marcinkowski, Vassilevski, Panayot S. (2005)
Applications of Mathematics
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This paper extends previous results on nonlinear Schwarz preconditioning (Cai and Keyes 2002) to unstructured finite element elliptic problems exploiting now nonlocal (but small) subspaces. The nonlocal finite element subspaces are associated with subdomains obtained from a non-overlapping element partitioning of the original set of elements and are coarse outside the prescribed element subdomain. The coarsening is based on a modification of the agglomeration based AMGe method proposed...
Modeling and computation of heterogeneous implicit solvent and its applications for biomolecules
Duan Chen (2014)
Molecular Based Mathematical Biology
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Description of inhomogeneous dielectric properties of a solvent in the vicinity of ions has been attracting research interests in mathematical modeling for many years. From many experimental results, it has been concluded that the dielectric response of a solvent linearly depends on the ionic strength within a certain range. Based on this assumption, a new implicit solvent model is proposed in the form of total free energy functional and a quasi-linear Poisson-Boltzmann equation (QPBE)...
Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation.
Hwang, Feng-Nan, Lin, Hsin-Lun, Cai, Xiao-Chuan (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Analysis of a Damped Nonlinear Multilevel Method.
W. Hackbusch, A. Reusken (1987)
Numerische Mathematik
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An efficient approach for solving a class of nonlinear parabolic PDEs.
Kim, Dongjin, Proskurowski, Wlodek (2004)
International Journal of Mathematics and Mathematical Sciences
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Operator preconditioning with efficient applications for nonlinear elliptic problems
Janos Karátson (2012)
Open Mathematics
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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.