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On the computational identification of temperature-variable characteristics of heat transfer

Vala, Jiří (2013)

Applications of Mathematics 2013

The mathematical analysis of a heat equation and its solutions is a standard part of most textbook of applied mathematics and computational mechanics. However, serious problems from engineering practice do not respect formal simplifications of such analysis, namely at high temperatures, for phase-change materials, etc. This paper, motivated by the material design and testing of a high-temperature thermal accumulator, as a substantial part of the Czech-Swedish project of an original equipment for...

On the conformal relation between twistors and Killing spinors

Friedrich, Thomas (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension n ≥ 3 . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated.

On the conformal theory of Ichijyō manifolds

Szakál, Sz. (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

Some special linear connection introduced in the Finsler space by Ichijyō has the property that the curvature tensors under conformal changes remain invariant. Two Ichijyō manifolds ( M , E , ∇ ) and ( M , E ¯ , ∇ ¯ ) are said to be conformally equivalent if E ¯ = ( exp σ v ) E , σ ∈ C ∞ ( M ) .It is proved, that in this case, the following assertions are equivalent: 1. σ is constant, 2. h ∇ = h ∇ ¯ , 3. S ∇ = S ∇ ¯ , 4. t ∇ = t ∇ ¯ .It is also proved (when the above conditions are satisfied) that1. If ( M , E , ∇ ) is a generalized Berwald manifold, then ( M , E ¯ , ∇ ¯ ) is also a generalized Berwald manifold.2....

On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

Author’s abstract: “We introduce the concept of the flux homomorphism for regular Poisson manifolds. First we establish a one-to-one correspondence between Poisson diffeomorphisms close to i d and closed foliated 1-forms close to 0. This allows to show that the group of Poisson automorphisms is locally contractible and to define the flux locally. Then, by means of the foliated cohomology, we extend this local homomorphism to a global one”.

On the horizontal cohomology with general coefficients

Marvan, Michal (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] A new cohomology theory suitable for understanding of nonlinear partial differential equations is presented. This paper is a continuation of the following paper of the author [Differ. geometry and its appl., Proc. Conf., Brno/Czech. 1986, Commun., 235-244 (1987; Zbl 0629.58033)].

On the interpolation constants over triangular elements

Kobayashi, Kenta (2015)

Application of Mathematics 2015

We propose a simple method to obtain sharp upper bounds for the interpolation error constants over the given triangular elements. These constants are important for analysis of interpolation error and especially for the error analysis in the Finite Element Method. In our method, interpolation constants are bounded by the product of the solution of corresponding finite dimensional eigenvalue problems and constant which is slightly larger than one. Guaranteed upper bounds for these constants are obtained...

On the invariant variational sequences in mechanics

Šeděnková, Jana (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

Summary: The r -th order variational sequence is the quotient sequence of the De Rham sequence on the r th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite)...

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