Wszystkie pola: variational formulations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Stifness operator for boundary problems of structural analysis and several new variational formulations
Autorzy:: Zolotov, A. B.
Sidorov, V. N.
Akimov, P. A.
Mozgaleva, M. L.
Powiązania:: https://bibliotekanauki.pl/articles/402415.pdf
Data publikacji:: 2010
Wydawca:: Politechnika Świętokrzyska w Kielcach. Wydawnictwo PŚw
Tematy:: stiffness operator
boundary problems
structural analysis
variational formulations
Opis:: So-called "stiffness operator" for boundary problems of structural analysis is introduced in the distinctive paper. There is a direct analogy between this stiffness operator and corresponding stiffness matrix of the considering structure in terms of finite element method. Namely we can consider stiffness operator as a limiting (continual) generalization of stiffness matrix. The explicit formulation of stiffness operator is presented. Several new variational formulations are discussed as well.
Źródło:: Structure and Environment; 2010, 2, 2; 9-13
2081-1500
Pojawia się w:: Structure and Environment
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Galerkin Versions of Nonsingular Trefftz Method Derived from Variational Formulations for 2D Laplace Problem
Autorzy:: Brański, Adam
Borkowska, Dorota
Powiązania:: https://bibliotekanauki.pl/articles/1402182.pdf
Data publikacji:: 2015-07
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.60.Lj
02.30.Jr
41.20.Cv
Opis:: In the paper, application of the Trefftz complete functions and Kupradze functions in two variational formulations is compared. They are applied in the original formulation and in the inverse one to the solution of boundary value problems of two-dimensional Laplace's equation. In these formulations, both solution and weighting functions are assumed to be of the same type, either the Trefftz function or the Kupradze function. Thus Galerkin versions of the methods are considered. All methods lead to the BEM and they are nonsingular. The relationship between the groups of methods of the original and inverse formulations is noticed. Numerical experiments are conducted for the Motz's problem. The accuracy and simplicity of the methods are discussed. All methods give comparable results. Since they are nonsingular, they may be successfully applied to solving boundary problems.
Źródło:: Acta Physica Polonica A; 2015, 128, 1A; A-50-A-55
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Asymptotic analysis of the steady advection-diffusion problem in axial domains
Autorzy:: Morales, Fernando A.
Powiązania:: https://bibliotekanauki.pl/articles/29519253.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: asymptotic analysis
mixed-type variational formulations
advection-diffusion
Opis:: We present the asymptotic analysis of the steady advection-diffusion equation in a thin tube. The problem is modeled in a mixed-type variational formulation, in order to separate the phenomenon in the axial direction and a transverse one. Such formulation makes visible the natural separation of scales within the problem and permits a successful asymptotic analysis, delivering a limiting form, free from the initial geometric singularity and suitable for approximating the original one. Furthermore, it is shown that the limiting problem can be simplified to a significantly simpler structure.
Źródło:: Opuscula Mathematica; 2023, 43, 2; 199-220
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface
Autorzy:: Morales, F. A.
Powiązania:: https://bibliotekanauki.pl/articles/255380.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: multiscale coupled systems
interface geometric perturbations
variational formulations
nonlinear dependence
Opis:: This work studies the dependence of the solution with respect to interface geometric perturbations, in a multiscaled coupled Darcy flow system in direct variational formulation. A set of admissible perturbation functions and a sense of convergence is presented, as well as sufficient conditions on the forcing terms, in order to conclude strong convergence statements. For the rate of convergence of the solutions we start solving completely the one dimensional case, using orthogonal decompositions on the appropriate subspaces. Finally, the rate of convergence question is analyzed in a simple multi dimensional setting, by studying the nonlinear operators introduced due to the geometric perturbations.
Źródło:: Opuscula Mathematica; 2015, 35, 4; 517-546
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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