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Řešení úloh s čistými Neumannovými okrajovými podmínkami na vnější hranici
Kohut, Roman
The pure Neumann boundary value problem is solvable only if all the applied external forces are balanced which means that the resultants of all forces and their moments vanish. The disturbance of the condition of balanced forces causes divergence of the used iterative method. For obtaining some numerical results we must seek generalized solution and modify the numerical techniques.
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Mathematical modelling of geosynthetic tubes
Malík, Josef
Geosynthetic tubes are comprised of thin sheets and pumped with water or slurry. The tubes are made of synthetic fabrics (geotextile). They have been used as dikes or breakwaters and to prevent beach erosion. They have many other applications in geoengineering.
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SNA ´09 - Seminář numerické analýzy
Blaheta, Radim ; Starý, Jiří
Seminar on Numerical Analysis 2009 (SNA’09) is the sixth meeting of a series of events started in Ostrava 2003 and devoted to numerical methods necessary for mathematical modelling of problems in sciences and engineering. In this respect, it was natural that in period 2005 - 2008 the SNA conferences became a part of the project MSTEP (http://www2.cs.cas.cz/mweb/) Modelling and simulation of complex engineering problems: effective numerical algorithms and parallel implementation using new information technologies within the program Information society administrated by the Academy of Sciences of the Czech Republic. We hope that the tradition of SNA conferences will be preserved even after finishing the MSTEP project in 2008.
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Mnohoúrovňové modelování geomateriálů a iterační řešiče
Blaheta, Radim ; Byczanski, Petr ; Harasim, Petr
The knowledge of microstructure in combination with properties of the constituents and mathematical modelling can be used for investigation of the properties of geomaterials at application scale. We investigate problems with both deterministic knowledge of microstructure, derived from X-ray CT scans, and stochastic one. The stochastic generation is also used for a systematic study of robustness of iterative solvers, particularly for Schwarz methods for PDE problems discretized by mixed FEM.
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Our Blue Gene Experience
Jakl, Ondřej ; Starý, Jiří
The paper describes our precious short-time opportunity to make some hands-on experience with the Bulgarian IBM Blue Gene/P system, where we tested the parallel scalability of our domain decomposition finite element solver on a greater number of processors and completed experiments with microstructure modelling of geocomposite materials. The tests showed that due to its relatively low computation/communication performance ratio this specific architecture may need optimizations of parallel codes to take advantage of its performance potential.
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