Abstract
SummaryThis paper studies the combination of the full‐multigrid (FMG) algorithm with an anisotropic metric‐based mesh adaptation algorithm. For the sake of simplicity, the case of an elliptic two‐dimensional partial differential equation is studied. Meshes are unstructured and non‐embedded, defined through the metric‐based parameterization. A rather classical MG preconditioner is applied, in combination with a quasi‐Newton fixed point. An anisotropic metric‐based mesh adaptation loop is introduced inside the FMG algorithm. FMG convergence stopping test is revisited. Applications to a few two‐dimensional continuous and discontinuous coefficient elliptic model problems show the efficiency of this combination. Copyright © 2015 John Wiley & Sons, Ltd.
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More From: International Journal for Numerical Methods in Fluids
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