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Solution of Nonstacionary Thermoelasticity Problems
Kohut, Roman
The paper deals with a finite element solution of transient thermoelasticity problems. For each time step the system of linear algebraic equations is solved using the conjugate gradient method preconditioned by incomplete factorization of the matrix derived from the original matrix. The time step is chosen adaptively. The results of numerical tests are presented.
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Adaptive base method
Byczanski, Petr
The adaptive base method is designated for the repeated solution of a system of linear equations with a constant regular matrix and slowly changing right hand side. The method is based on an adaptive construction of the orthonormal basis in right hand side vector space. If the approximation of current right hand side in actual basis is sufficiently exact, then the corresponding solution with limited precision is directly given by the stored inverse of basis.
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Náročné uplatnění iteračních řešičů v geotechnice
Blaheta, Radim ; Byczanski, Petr ; Jakl, Ondřej ; Kohut, Roman ; Kolcun, Alexej ; Krečmer, Karel ; Starý, Jiří
In many fields of science and engineering, we can see challenging tasks, which require application of mathematical modelling. The physical phenomena are simulated with the aid of the finite element method and this simulation leads to huge computational demands, which are concentrated mainly to the solution of large-scale systems of equations. For such systems, we need high performance iterative solvers.
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