Listar Dpto. Ingeniería Matemática e Informática - Matematika eta Informatika Ingeniaritza Saila por autor UPNA "Portero Egea, Laura"
Mostrando ítems 1-6 de 6
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A combined fractional step domain decomposition method for the numerical integration of parabolic problems
In this paper we develop parallel numerical algorithms to solve linear time dependent coefficient parabolic problems. Such methods are obtained by means of two consecutive discretization procedures. Firstly, we realize ... -
Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems
In this paper, we propose a numerical method for the solution of time-dependent flow problems in mixed form. Such problems can be efficiently approximated on hierarchical grids, obtained from an unstructured coarse ... -
Embedded pairs of fractional step Runge-Kutta methods and improved domain decomposition techniques for parabolic problems
In this paper we design and apply new embedded pairs of Frac- tional Step Runge-Kutta methods to the e±cient solution of multidimensional parabolic problems. These time integrators are combined with a suitable split- ting ... -
Improved accuracy for time-splitting methods for the numerical solution of parabolic equations
In this work, we study time-splitting strategies for the numerical approximation of evolutionary reaction–diffusion problems. In particular, we formulate a family of domain decomposition splitting methods that overcomes ... -
Modified Douglas splitting methods for reaction–diffusion equations
We present modifications of the second-order Douglas stabilizing corrections method, which is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a forward Euler way is straightforward, ... -
Parallel solution of nonlinear parabolic problems on logically rectangular grids
This work deals with the efficient numerical solution of nonlinear transient flow problems posed on two-dimensional porous media of general geometry. We first consider a spatial semidiscretization of such problems by ...