activity
20112024
most citedNon-overlapping domain decomposition methods in structural mechanics

186 citations · 761 across the 27 of their papers we have counts for

collaborators
Showing 2016Show all

5 papers · 1 filter

math.NA2016

Improved recovery of admissible stress in domain decomposition methods - application to heterogeneous structures and new error bounds for FETI-DP

Augustin Parret-Fréaud, Valentine Rey, Pierre Gosselet +1

This paper investigates the question of the building of admissible stress field in a substructured context. More precisely we analyze the special role played by multiple points. Th…

math.NA2016★ 28 cited

On the computation of plate assemblies using realistic 3D joint model: a non-intrusive approach

Guillaume Guguin, Olivier Allix, Pierre Gosselet +1

Most large engineering structures are described as assemblies of plates and shells and they are computed as such using adhoc Finite Element packages. In fact their computation in 3…

math.NA2016★ 11 cited

Strict lower bounds with separation of sources of error in non-overlapping domain decomposition methods

Valentine Rey, Pierre Gosselet, Christian Rey

This article deals with the computation of guaranteed lower bounds of the error in the framework of finite element (FE) and domain decomposition (DD) methods. In addition to a full…

math.NA2016★ 17 cited

Substructured formulations of nonlinear structure problems - influence of the interface condition

Camille Negrello, Pierre Gosselet, Christian Rey +1

We investigate the use of non-overlapping domain decomposition (DD) methods for nonlinear structure problems. The classic techniques would combine a global Newton solver with a lin…

physics.class-ph2016★ 3 cited

A quasi-optimal coarse problem and an augmented Krylov solver for the Variational Theory of Complex Rays

L Kovalevsky, Pierre Gosselet

The Variational Theory of Complex Rays (VTCR) is an indirect Trefftz method designed to study systems governed by Helmholtz-like equations. It uses wave functions to represent the…