Implementation of a direct procedure for critical point computations using preconditioned iterative solvers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F12%3A00376185" target="_blank" >RIV/67985807:_____/12:00376185 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.compstruc.2012.02.009" target="_blank" >http://dx.doi.org/10.1016/j.compstruc.2012.02.009</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2012.02.009" target="_blank" >10.1016/j.compstruc.2012.02.009</a>

Result language

angličtina

Original language name

Implementation of a direct procedure for critical point computations using preconditioned iterative solvers

Original language description

Computation of criticalpoints on an equilibrium path requires the solution of a non-linear eigenvalue problem. These criticalpoints could be either bifurcation or limit points. When the external load is parametrized by a single parameter, the non-linearstability eigenvalue problem consists of solving the equilibrium equations along the criticality condition. Several techniques exist for solution of such a system. Their algorithmic treatment is usually focused for direct linear solvers and thus use theblock elimination strategy. In this paper special emphasis is given for a strategy which can be used also with iterative linear solvers. Comparison to the block elimination strategy with direct linear solvers is given. Due to the non-uniqueness of the critical eigenmode a normalizing condition is required. In addition, for bifurcation points, the Jacobian matrix of the augmented system is singular at the criticalpoint and additional stabilization is required in order to maintain the quad

Czech name

—

Czech description

—

Type

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

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GAP108%2F11%2F0853" target="_blank" >GAP108/11/0853: Nanostructures with transition metals: Towards ab-initio material design</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

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

Name of the periodical

Computers and Structures

ISSN

0045-7949

e-ISSN

—

Volume of the periodical

108-109

Issue of the periodical within the volume

October

Country of publishing house

GB - UNITED KINGDOM

Number of pages

8

Pages from-to

110-117

UT code for WoS article

000309304100011

EID of the result in the Scopus database

—