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Article Dans Une Revue Finite Volumes for Complex Applications VI Problems & Perspectives Année : 2011

Discrete Duality Finite Volume Method Applied to Linear Elasticity

Résumé

We present the Discrete Duality Finite Volume method (DDFV) for solving the linear elasticity problem on unstructured mesh applied to solids undergoing mechanical loads. The procedure is described in detail for three dimensional problems and some theoretical results are provided: the discrete problem is well-posed, stable and convergent. A number of numerical test problems demonstrates the ability of this finite volume scheme to approach the solution and some comparisons with the conventional finite element method are provided.
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hal-00798772 , version 1 (10-03-2013)

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Benjamin Martin, Frédéric Pascal. Discrete Duality Finite Volume Method Applied to Linear Elasticity. Finite Volumes for Complex Applications VI Problems & Perspectives, 2011, 4, pp 663-671. ⟨10.1007/978-3-642-20671-9_70⟩. ⟨hal-00798772⟩
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