Parallel Solution of Elasticity Problems using Overlapping Aggregations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F18%3A00495423" target="_blank" >RIV/68145535:_____/18:00495423 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.21136%2FAM.2018.0142-17.pdf" target="_blank" >https://link.springer.com/content/pdf/10.21136%2FAM.2018.0142-17.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2018.0142-17" target="_blank" >10.21136/AM.2018.0142-17</a>

Result language
angličtina
Original language name
Parallel Solution of Elasticity Problems using Overlapping Aggregations
Original language description
The finite element (FE) solution of geotechnical elasticity problems leads to the solution of a large system of linear equations. For solving the system, we use the preconditioned conjugate gradient (PCG) method with two-level additive Schwarz preconditioner. The preconditioning is realised in parallel. A coarse space is usually constructed using an aggregation technique. If the finite element spaces for coarse and fine problems on structural grids are fully compatible, relations between elements of matrices of the coarse and fine problems can be derived. By generalization of these formulae, we obtain an overlapping aggregation technique for the construction of a coarse space with smoothed basis functions. The numerical tests are presented at the end of the paper.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)