Padesát let metody konečných prvků
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Michal Křížek (1992)
Pokroky matematiky, fyziky a astronomie
Roman Kohut (2018)
Applications of Mathematics
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...
Danuta Szeliga, Jerzy Gawąd, Maciej Pietrzyk (2004)
International Journal of Applied Mathematics and Computer Science
The paper presents an application of the inverse analysis to the identification of two models: a phase transformation model and a rheological model. The optimization algorithm for the inverse analysis was tested for various techniques of searching for the minimum: derivative-free and gradient methods, as well as genetic algorithms. Simulation results were validated for microalloyed niobium steel. An optimization strategy, which is adequate for the inverse analysis, is suggested.
Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Weijiu Liu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau and Komornik...
Martin Fuchs, Jürgen Reuling (1995)
Manuscripta mathematica
Aly, Arafa H., Phillips, A.H. (2005)
APPS. Applied Sciences
Silva, William Taylor Matias, Bezerra, Luciano Mendes (2008)
Mathematical Problems in Engineering
Tepedino Aranguren, Gaetano (1999)
Divulgaciones Matemáticas
An, Yukun (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Berkovits, J., Leinfelder, H., Mustonen, V. (2003)
Abstract and Applied Analysis
Joachim Naumann (1977)
Czechoslovak Mathematical Journal
Sergiy Bak (2022)
Archivum Mathematicum
In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.
Marie Kopáčková, Otto Vejvoda (1977)
Časopis pro pěstování matematiky
Michal Fečkan (2005)
Mathematica Slovaca
Hayat, T., Wang, Y., Siddiqui, A.M., Hutter, K. (2003)
Mathematical Problems in Engineering
Jovo P. Jarić, Dragoslav S. Kuzmanović (2013)
Zbornik Radova
Zaman, F.D. (1977)
Portugaliae mathematica
G. Geymonat (1981/1982)
Séminaire Équations aux dérivées partielles (Polytechnique)
C. Bardos, O. Pironneau (1994)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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