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**A LATIN computational strategy for multiphysics problems: application to poroelasticity.**
*(English)*
Zbl 1106.74425

Summary: Multiphysics phenomena and coupled-field problems usually lead to analyses which are computationally intensive. Strategies to keep the cost of these problems affordable are of special interest. For coupled fluid-structure problems, for instance, partitioned procedures and staggered algorithms are often preferred to direct analysis. In this paper, we describe a new strategy for solving coupled multiphysics problems which is built upon the LArge Time INcrement (LATIN) method. The proposed application concerns the consolidation of saturated porous soil, which is a strongly coupled fluid-solid problem. The goal of this paper is to discuss the efficiency of the proposed approach, especially when using an appropriate time-space approximation of the unknowns for the iterative resolution of the uncoupled global problem. The use of a set of radial loads as an adaptive approximation of the solution during iterations will be validated and a strategy for limiting the number of global resolutions will be tested on multiphysics problems.

### MSC:

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74S05 | Finite element methods applied to problems in solid mechanics |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

### Keywords:

multiphysics; coupled field; LATIN; porous media; fluid-structure interaction; consolidation
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\textit{D. Dureisseix} et al., Int. J. Numer. Methods Eng. 56, No. 10, 1489--1510 (2003; Zbl 1106.74425)

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