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Content available remote Application of Trefftz method to steady-state heat conduction problem in functionally gradient materials
Kita E., Ikeda Y., Kamiya N.
Computer Assisted Mechanics and Engineering Sciences
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2003
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Vol. 10, No. 3
339-351
EN
This paper describes the application of Trefftz method to the steady-state heat conduction problem on the functionally gradient materials. Since the governing equation is expressed as the non-linear Poisson equation, it is difficult to apply the ordinary Trefftz method to this problem. For overcoming this difficulty, we will present the combination scheme of the Trefftz method with the computing point analysis method. The inhomogeneous term of the Poisson equation is approximated by the polynomial of the Cartesian coordinates to determine the particular solution related to the inhomogeneous term. The solution of the problem is approximated with the linear combination of the particular solution and the T-complete functions of the Laplace equation. The unknown parameters are determined so that the approximate solution will satisfy the boundary conditions by means of the collocation method. Finally, the scheme is applied to some numerical examples.
2
Content available remote Examples of Peirce's decomposition associated with simple generalized Jordan triple systems of the second order
Kamiya N.
Bulletin of the Polish Academy of Sciences. Mathematics
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2001
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Vol. 49, no 2
159-175
EN
The aim of this article is to provide examples of Peirce's decomposition associated with simple generalized Jordan triple systems of the second order. The concept of triple systems has been derived from a construction of simple Lie algebras. Our investigation seeks to characterize the internal structure of triple systems. In particular, we shall study the tripotent elements in the Jordan triple systems associated with generalized Jordan triple systems of the second order.
3
Content available remote On a realization of the exceptional simple graded Lie algebras of the second kind and Freudenthal-Kantor systems
Kamiya N.
Bulletin of the Polish Academy of Sciences. Mathematics
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1998
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Vol. 46, no 1
55-65
EN
In this paper, from a construction of the standard embedding Lie algebras associated with triple systems, we derive the connection of our earlier work with the study of exceptional real simple Lie algebras of the second kind.
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