Abstract
We propose in this contribution a successive local mesh refinement with the PCD method. The multilevel local refinement improves the accuracy and gives a better precision, locally and globally, with a lower computational costs particularly if the considered problem has an anomaly. Here we present how a successive local mesh refinement can be handled. We conclude by presenting numerical experiments to show the interest of a multilevel local mesh refinement for the 2D diffusion equation.
Highlights
In this paper, we propose a successive local mesh refinement with the PCD method
The PCD method is well adapted for multilevel local refinement
From the point of view of storage cost, operational cost and the problem size, multilevel local mesh refinement is more attractive than the use of a uniform mesh or simple local mesh refinement
Summary
Ahmed TAHIRI abstract: In this paper, we propose a successive local mesh refinement with the PCD method. The multilevel local refinement improves the accuracy and gives better precision, locally and globally, with a lower computational costs if the considered problem has an anomaly. We present how this successive local mesh refinement can be handled. We conclude by presenting numerical experiments to show the interest of the multilevel local mesh refinement for the 2D steady diffusion equation
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