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PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
2012/4/18
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
Operator Splitting Method Initial Value Problems Iterative Solver Method Stability Analysis Beam Propagation Methods Transport and Maxwell Equations
2013/1/30
In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced che...
Application of Operator Splitting to Solve Reaction Diffusion Equations
Solve Reaction Diffusion Equations math
2010/11/24
Approximate solutions of the Fisher equation obtained by different splitting methods are investigated. The error of this nonlinear problem is analyzed. The order of different splitting methods coupled...
Operator splitting for nonlinear delay equations
Operator splitting nonlinear delay equations
2010/12/3
We investigate operator splitting methods for a special class of nonlinear partial differential
equation with delay. Using results from the theory of nonlinear contraction semigroups in Hilbert space...