A stable and optimally convergent LaTIn-CutFEM algorithm for multiple unilateral contact problems
نویسندگان
چکیده
منابع مشابه
A stable and optimally convergent LaTIn-Cut Finite Element Method for multiple unilateral contact problems
In this paper, we propose a novel unfitted finite element method for the simulation of multiple body contact. The computational mesh is generated independently of the geometry of the interacting solids, which can be arbitrarily complex. The key novelty of the approach is the combination of elements of the CutFEM technology, namely the enrichment of the solution field via the definition of overl...
متن کاملMESH r-ADAPTATION FOR UNILATERAL CONTACT PROBLEMS†
The aim of this paper is to present an algorithm of topology preserving mesh adaptation. It is based on a node movement rather than on mesh classical refinement/coarsening techniques. The choice of this so-called r-adaptation strategy is motivated at least by two reasons: node movement techniques preserve the matrix structure and are then well suited for large-scale computations, e.g. three-dim...
متن کاملSome Problems in Optimally Stable Lagrangian Differentiation
In many practical problems in numerical differentiation of a function f(x) that is known, observed, measured, or found experimentally to limited accuracy, the computing error is often much more significant than the truncating error. In numerical differentiation of the n-point Lagrangian interpolation polynomial, i.e., p '(x) ~ £j_jL< ^ (x)f(x¡), a criterion for optimal stability is minimization...
متن کاملA Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
We introduce a Nitsche-based formulation for the finite element discretization of the unilateral contact problem in linear elasticity. It features a weak treatment of the non-linear contact conditions through a consistent penalty term. Without any additional assumption on the contact set, we can prove theoretically its fully optimal convergence rate in the H(Ω)norm for linear finite elements in...
متن کاملMechanical design problems with unilateral contact
We formulate two problems of optimal design for mechanical structures in unilatéral contact the truss topology problem and the matenal design problem for elastic bodies In both cases we consider gênerai multi-load formulations, wherefor each load-case we may have different set of contact constraints (ngid obstacles) We show that both problems (after discretizatwn of the latter one) can be rewri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2017
ISSN: 0029-5981
DOI: 10.1002/nme.5694