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Wyświetlanie 1-25 z 216
Tytuł:
Shape identification in nonlinear boundary problems solved by pies method
Autorzy:
Zieniuk, E.
Bołtuć, A.
Szerszeń, K.
Powiązania:
https://bibliotekanauki.pl/articles/387431.pdf
Data publikacji:
2014
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
PIES
PIES method
defect
shape identification
nonlinear equation
metoda PIES
defekt
identyfikacja kształtu
równanie nieliniowe
Opis:
The paper presents the strategy for identifying the shape of defects in the domain defined in the boundary value problem modelled by the nonlinear differential equation. To solve the nonlinear problem in the iterative process the PIES method and its ad-vantages were used: the efficient way of the boundary and the domain modelling and global integration. The identification was performed using the genetic algorithm, where in connection with the efficiency of PIES we identify the small number of data required to the defect’s definition. The strategy has been tested for different shapes of defects.
Źródło:
Acta Mechanica et Automatica; 2014, 8, 1; 16-21
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Tytuł:
Recovering a part of potential by partial information on spectra of boundary problems
Autorzy:
Pivovarchik, V.
Powiązania:
https://bibliotekanauki.pl/articles/255115.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
sine-type function
Lagrange interpolation series
Dirichlet boundary value problem
Dirichlet-Neumann boundary value problem
Opis:
Under additional conditions uniqueness of the solution is proved for the following problem. Given 1) the spectrum of the Dirichlet problem for the Sturm-Liouville equation on [0, a] with real potential q(x) mem L2(0, a), 2) a certain part of the spectrum of the Dirichlet problem for the same equation on [a/3, a] and 3) the potential on [0, a/3]. The aim is to find the potential on [a/3 ,a].
Źródło:
Opuscula Mathematica; 2005, 25, 1; 131-137
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
Autorzy:
Zajączkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/1311641.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
local existence
free boundary
anisotropic Sobolev spaces
viscous compressible barotropic fluids
Opis:
We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Źródło:
Annales Polonici Mathematici; 1994-1995, 60, 3; 255-287
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundary value problems with solutions
Autorzy:
Herzog, Gerd
Kunstmann, Peer Chr.
Powiązania:
https://bibliotekanauki.pl/articles/256054.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Dirichlet boundary value problems solutions in convex sets
continuation method
ordered Banach spaces
concave solutions
Opis:
By means of the continuation method for contractions we prove the existence of solutions of Dirichlet boundary value problems in convex sets. As an application we prove the existence of concave solutions of certain boundary value problems in ordered Banach spaces.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 49-60
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear multivalued boundary value problems
Autorzy:
Bader, Ralf
Papageorgiou, Nikolaos
Powiązania:
https://bibliotekanauki.pl/articles/729304.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
usc and lsc multifunction
measurable selection
Leray-Schauder alternative theorem
Sobolev space
compact embedding
maximal monotone map
coercive map
surjective map
convex and nonconvex problem
nonlinear boundary conditions
Opis:
In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when $domA ≠ ℝ^{N}$ and $domA = ℝ^{N}$, with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come from multivalued analysis and the theory of nonlinear monotone operators.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 127-148
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A non-element method of solving the two-dimensional Navier-Lamé equation in problems with non-homogeneous polygonal subregions
Autorzy:
Zieniuk, E.
Bołtuć, A.
Powiązania:
https://bibliotekanauki.pl/articles/1933185.pdf
Data publikacji:
2008
Wydawca:
Politechnika Gdańska
Tematy:
Navier-Lamé equation
boundary problems
subregions
PIES
Opis:
The paper introduces a parametric integral equation system (PIES) for solving 2D boundary problems defined on connected polygonal domains described by the Navier-Lame equation. Parametric linear functions were applied in the PIES to define analytically the polygonal subregions' interfaces. Only corner points and additional extreme points on the interface between the connected subregions are posed to practically define a polygonal domain. An important advantage of this approach is that the number of such points is independent of the area of identically shaped domains due to the elimination of traditional elements from modeling, the number of those elements being dependent on the domain's surface area. In order to test the reliability and effectiveness of the proposed method, test examples are included in which areas of displacements and stresses are analyzed in each subregion.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2008, 12, 1-2; 71-84
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Identification of polygonal domains using PIES in inverse boundary problems modeled by 2D Laplaces equation
Autorzy:
Zieniuk, E.
Bołtuć, A.
Powiązania:
https://bibliotekanauki.pl/articles/1964153.pdf
Data publikacji:
2005
Wydawca:
Politechnika Gdańska
Tematy:
parametric integral equation system (PIES)
inverse problems
Laplace's equation
Opis:
The paper presents an original method to identify polygonal boundary geometry in 2D boundary problems defined by Laplace's equation using a parametric integral equation system (PIES). In the PIES, the polygonal boundary shape is defined mathematically by means of parametric linear segments, with a small number of corner points being posed. Identification of the polygonal boundary is reduced to identification of the corner points. Finally, the solution of the problem is reduced to the solution of a non-linear system of algebraic equations. Coordinates of identified corner points are obtained after solving the system of equations.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 4; 415-426
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Selected methods for nonlinear boundary value problems
Autorzy:
Przeradzki, Bogdan
Izydorek, Marek
Orpel, Aleksandra
Powiązania:
https://bibliotekanauki.pl/books/2014445.pdf
Data publikacji:
2021
Wydawca:
Politechnika Łódzka. Wydawnictwo Politechniki Łódzkiej
Opis:
The following book deals with various boundary value problems for differential equations. As Juliusz Schauder, one of the pioneers and unsurpassed masters (at least for the author), used to say, the most important thing is to know the methods, not the theorems. Thus, we are interested in a set of methods of Nonlinear Analysis applied to such boundary value problems. Since we want to avoid the difficulties associated with partial equations (already the theory of linear partial differential equations requires the use of subtle concepts and tools of Functional Analysis), we choose examples showing applications of the above-mentioned methods among ordinary differential equations. We are interested in nonlinear equations, but the boundary conditions we discuss are usually linear. By boundary conditions, we mean here any additional equations that the solutions of the differential equation are expected to satisfy. Such additional conditions are necessary if we want to have one (or more) solutions - after all, a given differential equation has infinitely many solutions. These additional conditions may be initial conditions, conditions to be satisfied by the function at the extremes of the domain (boundary conditions), but they may also be multipoint or, more broadly, nonlocal e.g. when there is an integral of the solution in the equation. On the other hand, the wealth of methods of nonlinear analysis is so great that we emphasize a certain set of methods (mainly topological) preferred by the author. The examples on which we present applications of these methods are in majority taken from the work of the research team that consists of the author and his former PhD students. Thus, this survey is not a monograph of the subject in a strict sense, which is reflected in the first word of the title "Selected".
Dostawca treści:
Biblioteka Nauki
Książka
Tytuł:
Boundary problems for the homogeneous iterated Helmholtz equation in a certain unbounded domain of the Euclidean n-space
Autorzy:
Filar, M.
Powiązania:
https://bibliotekanauki.pl/articles/745847.pdf
Data publikacji:
1985
Wydawca:
Polskie Towarzystwo Matematyczne
Opis:
The article contains no abstract
Źródło:
Commentationes Mathematicae; 1985, 25, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The algorithms of selected methods for the two-point boundary value problem for the equation - u + g(x)u = f(x)
Autorzy:
Kołodziejczyk, Janusz
Grabarski, Adam
Powiązania:
https://bibliotekanauki.pl/articles/747914.pdf
Data publikacji:
1990
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Boundary value problems
Opis:
.
In this paper four algorithms of methods of approximate solution of the two-point boundary value problem for the equation - u” + g(x)u = f(x) are given and compared. The finite difference, collocation, finite element and collocation-Galerkin methods are considered. Numerical results are presented. For sufficiently regular functions u,f and g the finite difference method is the most effective.
Źródło:
Mathematica Applicanda; 1990, 18, 32
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of relaxed Dirichlet boundary control problems
Autorzy:
Arada, N.
Raymond, J.
Powiązania:
https://bibliotekanauki.pl/articles/206117.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pomiary Younga
relaksacja
sterowanie
control problems
Dirichlet boundary control
pointwise state constraints
relaxation
stability properties
Young measures
Opis:
We study the relaxation by Young measures of a Dirichlet control problem with pointwise state constraints. We give a necessary and sufficient condition for the properness of the relaxation. This condition is expressed in terms of stability properties, for the original control problem, with respect to geometrical perturbations of state constraints.
Źródło:
Control and Cybernetics; 1999, 28, 1; 35-51
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On solvability of boundary value problems in elastoplasticity
Autorzy:
Chludnev, A.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/205983.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
elastoplastyczność
pękanie
zagadnienie brzegowe
boundary problem
cracks
elastoplasticity
penalty
regularization
Opis:
In the paper the existence of a solution to the thress-dimensional elastoplastic problem with the Prandtl-Reuss constitutive law and the Neumann boundary conditions is established. The proof is based on a suitable combination of the parabolic regularization of equations and the penalty method for the elastoplastic yield condition. The method is applied in the case of the domain with smooth boundary as well as in the case of an interior crack. It is shown that the weak solutions to the elastoplastic problem satisfying the variational inequality meet all boundary conditions.
Źródło:
Control and Cybernetics; 1998, 27, 2; 311-330
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal boundary control problems of retarded parabolic systems
Autorzy:
Kowalewski, A.
Krakowiak, A.
Powiązania:
https://bibliotekanauki.pl/articles/229191.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
boundary control
parabolic systems
time delays
linear quadratic problem
quadratic programming method
Opis:
Optimal boundary control problems of retarded parabolic systems are presented. Necessary and sufficient conditions of optimality are derived for the Neumann problem. A simple example of application is also presented.
Źródło:
Archives of Control Sciences; 2013, 23, 3; 261-279
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Right focal boundary value problems for difference equations
Autorzy:
Henderson, J.
Liu, X.
Lyons, J. W.
Neugebauer, J. T.
Powiązania:
https://bibliotekanauki.pl/articles/255580.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equation
boundary value problem
right focal
fixed point theorem
positive solution
Opis:
An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of the fixed point theorem, neither the entire lower nor entire upper boundary is required to be mapped inward or outward. A nontrivial example is also provided.
Źródło:
Opuscula Mathematica; 2010, 30, 4; 447-456
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-25 z 216

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