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Anisotropic mesh adaptation and effects on the conditioning of unstructured finite element solvers

Manzinali, Gabriel, Elie Hachem, Youssef Mesri

Research Notes, 26th International Meshing Roundtable, Sandia National Laboratories, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Gabriel Manzinali, MINES Paristech, PSL-Research University, CEMEF-Centre for material forming, FR, gabriel.manzinali@mines-paristech.fr
Elie Hachem, MINES Paristech, PSL-Research University, CEMEF-Centre for material forming, FR, elie.hachem@mines-paristech.fr
Youssef Mesri, MINES Paristech, PSL-Research University, CEMEF-Centre for material forming, FR, youssef.mesri@mines-paristech.fr

Research Note Abstract
Over the past decades the growing need for high fidelity flow simulations paved the way to promising techniques such as anisotropic mesh adaptation in finite elements (FE) frameworks. One of the possible drawbacks of anisotropic meshes is their effects on the efficiency of the iterative solver. In this work we investigate the impact of anisotropic adapted meshes on the conditioning of the stiffness matrix, that stems from the FE discretized problem. The results show that, using a simple Jacobi diagonal scaling, we can strongly reduce (or even delete) the gap between isotropic and anisotropic meshes, in term of conditioning.

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