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How joint reflection could contribute to develop teacher's professionalism
Macháčková, Jana
2010 - English
The paper deals with one of the ways, how to use joint reflection for preparing student-teachers. The contribution indicates possible procedure how to practice qualified pedagogical reflection to contribute to the enhancement teacher's professionalism.
Keywords:
reflection; joint reflection; qualifield pedagogical reflection
Available at various institutes of the ASCR
How joint reflection could contribute to develop teacher's professionalism
The paper deals with one of the ways, how to use joint reflection for preparing student-teachers. The contribution indicates possible procedure how to practice qualified pedagogical reflection to ...
A comparison of some a posteriori error estimates for fourth order problems
Segeth, Karel
2010 - English
In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and some further fourth order problems including computational error estimates.
Keywords:
a posteriori error estimate; finite element method; fourth order problem
Available in digital repository of the ASCR
A comparison of some a posteriori error estimates for fourth order problems
In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and ...
Programs and Algorithms of Numerical Mathematics 15
Vejchodský, Tomáš; Chleboun, J.; Přikryl, Petr; Segeth, Karel; Šístek, Jakub
2010 - English
The book contains papers presented at the international seminar Programs and algorithms of numerical Mathematics 15 (PANM 15), held in Dolni Maxov, Czech Republic, June 6-11, 2010. It is the fifteen 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 atgebra, etc.
Keywords:
algorithms; numerical mathematics
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 15
The book contains papers presented at the international seminar Programs and algorithms of numerical Mathematics 15 (PANM 15), held in Dolni Maxov, Czech Republic, June 6-11, 2010. It is the fifteen ...
Approaches to parallel implementation of the BDDC method
Šístek, Jakub; Burda, P.; Čertíková, M.; Novotný, J.
2010 - English
During past several years, we have implemented and tested various approaches to domain decomposition methods, especially the Balancing Domain Decomposition Method by Constraints (BDDC). The goal of this paper is to summarize our experience with parallel implementation of such algorithms and to suggest ways to an implementation of the BDDC method that would be efficient on very large number of cores of computers of near future.
Keywords:
BDDC; domain decomposition; iterative substructuring; parallel computing
Available on request at various institutes of the ASCR
Approaches to parallel implementation of the BDDC method
During past several years, we have implemented and tested various approaches to domain decomposition methods, especially the Balancing Domain Decomposition Method by Constraints (BDDC). The goal of ...
A survey of global investigations of linear differential equations
Neuman, František
2010 - English
In contrast to the local investigations of behavior of solutions of linear differential equations, that started already in the XVII-th century, here we present a survey of methods and results of a global nature. It was possible to establish the unified theory of global properties of solutions of linear differential equations: to describe global canonical forms, distribution of zeros of solutions and other global properties of the equations studied.
Keywords:
linear differential equations; global canonical forms
Available at various institutes of the ASCR
A survey of global investigations of linear differential equations
In contrast to the local investigations of behavior of solutions of linear differential equations, that started already in the XVII-th century, here we present a survey of methods and results of a ...
Problem Posing, a Way to Teachers' Change
Hošpesová, A.; Tichá, Marie
2010 - English
Problem posing is an important component of a teacher's everyday activity. This contribution wants to show how problem posing may be used as a way to an increase in teachers' professionalism, to improvement of their subject didactic competence and also as a diagnostic and motivational tool.
Keywords:
professional competence of a teacher; teacher education; problem posing
Available on request at various institutes of the ASCR
Problem Posing, a Way to Teachers' Change
Problem posing is an important component of a teacher's everyday activity. This contribution wants to show how problem posing may be used as a way to an increase in teachers' professionalism, to ...
Some remarks on averaging in the BDDC method
Čertíková, M.; Burda, P.; Novotný, J.; Šístek, Jakub
2010 - English
In this paper, we introduce a general framework for derivation of the averaging operator, from hich the standard choices are recovered by simplifications. Then, an alternative approach derived by another simplification is proposed and tested on a 2D example.
Keywords:
BDDC method
Available in digital repository of the ASCR
Some remarks on averaging in the BDDC method
In this paper, we introduce a general framework for derivation of the averaging operator, from hich the standard choices are recovered by simplifications. Then, an alternative approach derived by ...
Integration in higher-order finite element method in 3D
Kůs, Pavel
2010 - English
Integration of higher-order basis functions is an important issue, that is not as straightforward as it may seem. In traditional low-order FEM codes, the bulk of computational time is a solution of resulting system of linear equations. In the case of higher-order elements the situation is different. Especially in three dimensions the time of integration may represent significant part of the computation.
Keywords:
finite element method
Available in digital repository of the ASCR
Integration in higher-order finite element method in 3D
Integration of higher-order basis functions is an important issue, that is not as straightforward as it may seem. In traditional low-order FEM codes, the bulk of computational time is a solution of ...
Complementarity - the way towards guaranteed error estimates
Vejchodský, Tomáš
2010 - English
This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamentals properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples.
Keywords:
Poisson problem; a posteriori error estimates
Available in digital repository of the ASCR
Complementarity - the way towards guaranteed error estimates
This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a ...
On selections of constraints for the BDDC method
Čertíková, M.; Šístek, Jakub; Novotný, J.; Burda, P.
2010 - English
The Balancing Domain Decomposition by Constraints (BDDC) method is an iterative substructuring domain decomposition method which uses a coarse space. The choice of coarse constraints on continuity has strong influence on convergence of the method. The goal of this paper is to compare the performance of several algorithms for selection of the coarse constraints applied to both test and industrial 3D linear elasticity problems and confront results obtained for typical test problems with results for industrial problems.
Keywords:
BDDC; domain decomposition; iterative substructuring; parallel computing
Available on request at various institutes of the ASCR
On selections of constraints for the BDDC method
The Balancing Domain Decomposition by Constraints (BDDC) method is an iterative substructuring domain decomposition method which uses a coarse space. The choice of coarse constraints on continuity has ...
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