J. E. Castillo

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In this work we perform an experimental study of iterative methods for solving large sparse linear systems arising from a second-order 2D mimetic discretization. The model problem is the 2D Poisson equation with different boundary conditions. We use GMRES with the restarted parameter and BiCGstab as iterative methods. We also use various preconditioning(More)
A complete analytical and numerical study of a new second order finite difference discretization for derivatives and its associated scheme for the Laplace's operator is presented. It is based on a one side approximation for the gradient at boundary nodes in a non-uniform staggered (point distributed) grid. It is shown that the numerical scheme applied to(More)
1. SUMMARY Variational grid generation techniques are now used to produce grids suitable for solving numerical partial differential equations in irregular geometries. Variational grid generation methods are very robust but slow. The method considered here is a discrete variational method. This method preserves the robustness of the variational method; also,(More)
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