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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86084365" target="_blank" >RIV/61989100:27240/12:86084365 - isvavai.cz</a>

Alternative codes found

RIV/61989100:27740/12:86084365

Result on the web

<a href="http://dx.doi.org/10.1016/j.cma.2012.08.003" target="_blank" >http://dx.doi.org/10.1016/j.cma.2012.08.003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cma.2012.08.003" target="_blank" >10.1016/j.cma.2012.08.003</a>

Result language

angličtina

Original language name

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

Original language description

The FETI based domain decomposition method is adapted to implement the time step of the Newmark scheme for the solution of dynamic contact problems without friction. If the ratio of the decomposition and discretization parameters is kept uniformly bounded, then the cost of the time step is proved to be proportional to the number of nodal variables. The algorithm uses our in a sense optimal MPRGP algorithm for the solution of strictly convex bound constrained quadratic programming problems with optionalpreconditioning by the conjugate projector to the subspace defined by the trace of the rigid body motions on the artificial subdomain interfaces. The proof of optimality combines the convergence theory of our MPRGP algorithm, the classical bounds on thespectrum of the mass and stiffness matrices, and our theory of the preconditioning by a conjugate projector for nonlinear problems. The results are confirmed by numerical solution of 2D and 3D dynamic contact problems.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

e-ISSN

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Volume of the periodical

247

Issue of the periodical within the volume

Neuveden

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

14

Pages from-to

37-50

UT code for WoS article

000310944400003

EID of the result in the Scopus database

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