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On some a posteriori error estimation results for the method of lines
Segeth, Karel; Šolín, Pavel
2006 - English
We present an (incomplete) historical survey of some basic results of residual type estimation procedures. Recently we witness a rapidly increasing use of the hp-FEM which is due to the well-established theory. However, the conventional a posteriori error estimates (in the form of a single number per element) are not enough here, more complex estimates are needed. Předkládáme (neúplný) historický překlad některých základních výsledků procedur pro získání odhadů reziduálního typu. V poslední době jsme svědky rychle rostoucího užívání hp-metody konečných prvků, což je důsledkem dobře vybudované teorie. Nicméně konvenční aposteriorní odhady chyby (ve tvaru jednoho čísla na prvek) zde nepostačují a jsou potřeba složitější odhady.
Keywords:
a posteriori error estimates; residual type estimates; hp-finik element method
Available in digital repository of the ASCR
On some a posteriori error estimation results for the method of lines
We present an (incomplete) historical survey of some basic results of residual type estimation procedures. Recently we witness a rapidly increasing use of the hp-FEM which is due to the ...
Solution of time-dependent convection-diffusion equations with aid of higher order adaptive metods with respect to space and time
Kůs, Pavel; Dolejší, V.
2006 - English
Keywords:
programs and algorithms
Available in digital repository of the ASCR
Solution of time-dependent convection-diffusion equations with aid of higher order adaptive metods with respect to space and time
Programs and Algorithms of Numerical Mathematics 13
Chleboun, Jan; Segeth, Karel; Vejchodský, Tomáš
2006 - English
The book contains papers presented at the international conference Programs and Algorithms of Numerical Mathematics 13(PANM 13) held in Prague, Czech Republic, May 28-31, 2006, in honor of Ivo Babuska´s 80th birthday. It is the thirteenth volume in the series of the PANM proceedings. The topics of contributions include numerical methods for fluid flow modelling, the finite element method, a posteriori error estimates, topics from numerical linear algebra, etc. Kniha obsahuje příspěvky přednášek na mezinárodní konferenci Programy a algoritmy numerické matematiky 13 (PANM 13) konané v Praze ve dnech 28.-31. května 2006 na počest osmdesátých narozenin profesora Ivo Babšky. Jde o třináctou publikaci v sérii sborníků PANM. Příspěvky se zaměřují na numerické metody a na proudění tekutin, metodu konečných prvků aposteriové odhady, chyby, témata z numerické lineární algebry a podobně.
Keywords:
numerical methods; mathematical modelling; parallel computations
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 13
The book contains papers presented at the international conference Programs and Algorithms of Numerical Mathematics 13(PANM 13) held in Prague, Czech Republic, May 28-31, 2006, in honor of Ivo ...
Nonoscillatory solutions for nonlinear discrete systems
Marini, M.; Matucci, S.; Řehák, Pavel
2002 - English
We investigate some asymptotic properties of the nonlinear forced difference system. In particular we give necessary and sufficient conditions for existenceof the so-called regularly decaying solutions and thereby we complete the results presented in our previous paper. Vyšetřujeme asymptotické vlastnosti nelineárních diferenčních systémů s pravou stranou. Zejména jsou odvozeny nutné a postačující podmínky pro existenci tzv. regulérně klesajících řešení. Tímto jsou zkompletovány výsledky z našeho předchozího článku.
Keywords:
nonlinear forced discrete system; regularly decaying solution
Available in digital repository of the ASCR
Nonoscillatory solutions for nonlinear discrete systems
We investigate some asymptotic properties of the nonlinear forced difference system. In particular we give necessary and sufficient conditions for existenceof the so-called regularly decaying ...
Zero convergent solutions for a class of p-Laplacian systems
Marini, M.; Matucci, S.; Řehák, Pavel
2002 - English
We present some results about the existence of positive decaying solutions fora class of systems of two second order coupled nonlinear equations with p-Laplacian operator. In addition, the generalized Emden-Fowler type systems are considered and necessary and sufficient conditions are given in order for the system to have regularly and/or strongly decaying solutions. V článku prezentujeme některé výsledky týkající se existence kladných řešení jdoucích k nule pro třídu systémů dvou nelineárních rovnic 2. řádu s p-Laplacianem. Kromě toho uvažujeme Emden-Fowlerův systém, pro který jsou odvozeny nutné a postačující podmínky pro existenci regulérně či silně klesajících řešení s nulovou limitou.
Keywords:
p-Laplacian system; decaying solution
Available in digital repository of the ASCR
Zero convergent solutions for a class of p-Laplacian systems
We present some results about the existence of positive decaying solutions fora class of systems of two second order coupled nonlinear equations with p-Laplacian operator. In addition, the generalized ...
Natural operators on the bundle of Cartan connections
Panák, Martin
1999 - English
Available in digital repository of the ASCR
Natural operators on the bundle of Cartan connections
Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elastoplasticity
Krejčí, Pavel; Sprekels, J.
1998 - English
We present a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress Ró contains, in addition to elastic, viscous and thermic contributions, a plastic component ...
Keywords:
thermoplasticity; viscoelasticity; hysteresis operators
Available in digital repository of the ASCR
Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elastoplasticity
We present a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress Ró contains, in addition to elastic, viscous and ...
Druhá krize matematiky aneb potíže růstu diferenciálního a integrálního růstu
Schwabik, Štefan
1998 - Czech
Available in digital repository of the ASCR
Druhá krize matematiky aneb potíže růstu diferenciálního a integrálního růstu
Transformations and oscillatory properties of linear Hamiltonian systems-continuous versus discrete
Došlý, Ondřej
1998 - English
Available in digital repository of the ASCR
Transformations and oscillatory properties of linear Hamiltonian systems-continuous versus discrete
Extrapolation of Reduced Sobolev Imbeddings
Krbec, Miroslav; Schmeisser, H. J.
1996 - English
Available in digital repository of the ASCR
Extrapolation of Reduced Sobolev Imbeddings
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