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Communication Dans Un Congrès Année : 2012

High-order X-FEM for image-based computations

Résumé

In this contribution, a strategy is proposed for treating geometrically complex prob- lems such as those encountered in image-based analysis. The use of the X-FEM allows the treatment of such applications without the need to mesh the geometry. However, the geomet- rical accuracy is still linked to the size of the finite element mesh because of the interpolation of the level-set. An approach is proposed for uncoupling geometrical description and approx- imation in this context. The strategy is based on an uniform coarse mesh that defines a high order approximation of the mechanical fields and an adapted mesh that defines the geometrical features by means of levelsets. The connection between the geometry and the approximation is obtained by sharing the quadtree trees of the two meshes. Numerical examples involving level-set based parts and image-based microstructures are presented.
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Dates et versions

hal-01008256 , version 1 (16-03-2024)

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  • HAL Id : hal-01008256 , version 1

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Grégory Legrain, Nicolas Chevaugeon. High-order X-FEM for image-based computations. 6th EUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING (ECCOMAS 2012), 2012, Vienna, Austria. ⟨hal-01008256⟩
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