A variational principle for the formulation of partitioned structural systems

By K. Park, C. Felippa. 2000

194 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/200d05ef4ba3c8ae0606ca2cb7ab0818b80e9768

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In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

On the L2 and the H1 couplings for an overlapping domain decomposition method using Lagrange multipliers (2007, methodology): “In order to link the meshes, an intermediate space of Lagrange multipliers is defined, as in the mortar element method [1, 2], in the three-field formulation [3–5] or in a localized version of the Lagrange multiplier method [6].”
A simple algorithm for localized construction of non‐matching structural interfaces (2002, methodology): “The theoretical foundation of the present study is a four- eld variational principle [12; 13] whose variables consist of subdomain deformation modes, Lagrange multipliers independently de ned along subdomain interfaces, displacements of a frame interposed between subdomains, and self-equilibrium mod”
An improved interface element with variable nodes for non-matching finite element meshes (2005, methodology): “Similar methods has also been proposed by [1,8,15–17].”
An approach to the connection between subdomains with non‐matching meshes for transient mechanical analysis (2002, methodology): “Recently, Park and Felippa have proposed an approach using the localized Lagrange multipliers (LLM) method [5], whereas the mortar method is dedicated to this kind of problem.”
A formulation based on localized Lagrange multipliers for BEM–FEM coupling in contact problems (2008, methodology): “Variational formulation To derive the equilibrium equations of the constrained system we use the variational formulation proposed by Park and Felippa [24,25] where the problem is treated like if all bodies were entirely free, formulating the virtual work of the system by summing up the contributions”