Computer Methods in Applied Mechanics and Engineering
One-step and extrapolation methods for differential- algebraic systems
Numerische Mathematik
Computer Methods in Applied Mechanics and Engineering
A mesh adaptivity procedure for CFD and fluid-structure interactions
Computers and Structures
A Newton method using exact jacobians for solving fluid-structure coupling
Computers and Structures
Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods
Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods
A multi-scale approach to model localized failure with softening
Computers and Structures
Monolithic and partitioned time integration methods for real-time heterogeneous simulations
Computational Mechanics
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In this work we consider the fluid-structure interaction in fully nonlinear setting, where different space discretization can be used. The model problem considers finite elements for structure and finite volume for fluid. The computations for such interaction problem are performed by implicit schemes, and the partitioned algorithm separating fluid from structural iterations. The formal proof is given to find the condition for convergence of this iterative procedure in the fully nonlinear setting. Several validation examples are shown to confirm the proposed convergence criteria of partitioned algorithm. The proposed strategy provides a very suitable basics for code-coupling implementation as discussed in Part II.