2012
DOI: 10.1016/j.cma.2012.08.003
|View full text |Cite
|
Sign up to set email alerts
|

Scalable TFETI with optional preconditioning by conjugate projector for transient frictionless contact problems of elasticity

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
12
0

Year Published

2012
2012
2018
2018

Publication Types

Select...
3
2
2

Relationship

1
6

Authors

Journals

citations
Cited by 20 publications
(12 citation statements)
references
References 29 publications
0
12
0
Order By: Relevance
“…A special structure of the discretized dual problem was exploited in the development of theoretically supported scalable algorithms for the solution of elliptic variational inequalities such as those describing the equilibrium of a system of elastic bodies in contact [5], including the contact problems with friction [6] and the transient contact problems [7].…”
Section: Introductionmentioning
confidence: 99%
“…A special structure of the discretized dual problem was exploited in the development of theoretically supported scalable algorithms for the solution of elliptic variational inequalities such as those describing the equilibrium of a system of elastic bodies in contact [5], including the contact problems with friction [6] and the transient contact problems [7].…”
Section: Introductionmentioning
confidence: 99%
“…One can read more about the formulation for unilateral contact in [8,9]. Our notation of the multibody case is similar to the prepared article [3] on transient problems.…”
Section: Introductionmentioning
confidence: 99%
“…Since its formulation is given by a variational inequality of the second kind, after discretization we obtain a convex non-smooth constrained minimization problem for a discrete total potential energy function. To increase the efficiency of the quadratic part of the minimized problem we used the TFETI method, a variant (see Dostál et al [2] and [3]) of FETI domain decomposition methods framework et al [4]). Introducing the additional Lagrange multipliers one can release the non-penetration conditions and transform the frictional into a smooth one.…”
Section: Introductionmentioning
confidence: 99%
“…Several domain decomposition approaches have been proposed for contact problems, see [8,3,10,9,4,24,3] amongst others, but a few are concerned with multiple contacts in granular media (for an algebraic-like partition, see [17], and for a geometric partitioning of the discrete granular domain, see [5,2,23,30]). Here, we focus on the comparison of two formulations, one similar to FETI approaches, the other closer to additive Schwarz approaches, and of two implementations of the underlying communication scheme.…”
Section: Domain Decomposition Approachesmentioning
confidence: 99%