# Reduced Basis and Iterative Algorithms for Non-Linear Elastic Thin Shells

Abstract : In this work, we propose an iterative linear solver for the linearized equations coming from the Newton-Raphson method. In structural mechanics, the computation of the non-linear solution, with a Newton-Raphson method for example, requires the solution of sparse linear systems of equations: $K^i U^i = F(U^j )$ with $i = 1,...,k$ and $j = 1,...,i − 1$ with $K^i$ designates a $N × N$ symmetric matrix (the tangent matrix), $U^i$ is the unknown displacement vector $(U^i ∈ \mathbb{R}^N)$ and $F(U^j )$ is a load vector which depends on the previous solutions $U^j$ with $j = 1,...,i − 1$.
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Communication dans un congrès
8th. World Congress on Computational Mechanics (WCCM8), Jul 2008, Venise, Italy

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https://hal.archives-ouvertes.fr/hal-00404044
Soumis le : jeudi 7 juin 2018 - 14:00:48
Dernière modification le : vendredi 7 décembre 2018 - 01:50:25
Document(s) archivé(s) le : samedi 8 septembre 2018 - 13:30:40

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• HAL Id : hal-00404044, version 1

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Jean-Marc Cadou, Michel Potier-Ferry. Reduced Basis and Iterative Algorithms for Non-Linear Elastic Thin Shells. 8th. World Congress on Computational Mechanics (WCCM8), Jul 2008, Venise, Italy. 〈hal-00404044〉

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