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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP108%2F11%2F0853" target="_blank" >GAP108/11/0853: Nanostruktury obsahující tranzitivní kovy: Směrem k ab-initio materiálovému designu</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Computers and Structures

ISSN

0045-7949

e-ISSN

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Svazek periodika

108-109

Číslo periodika v rámci svazku

October

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

8

Strana od-do

110-117

Kód UT WoS článku

000309304100011

EID výsledku v databázi Scopus

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