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Wyświetlanie 1-15 z 62
Tytuł:
A Boundary-Value Problem for Linear Pdaes
Autorzy:
Marszałek, W.
Trzaska, Z.
Powiązania:
https://bibliotekanauki.pl/articles/908511.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
differential algebraic equations
boundary value problems
linear multivariable systems
Opis:
We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil [A,-ln B]. A new theorem is proved and two illustrative examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 487-491
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure
Autorzy:
Roliński, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/747373.pdf
Data publikacji:
1993
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Boundary element methods
Boundary value problems for second-order elliptic equations
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Opis:
.
This paper is concerned with transforming the exterior problem Δu=f on Ωc, (∂u/∂n)|Γ=g, where ΩR2 is a bounded region and Ω^(c)=int(R2\Ω), into a problem represented by two equations. The first one is posed on a bounded domain and the second one is posed on the outer part of the boundary of the domain. This new problem is suitable for a numerical method based on coupling the finite and boundary element methods.
Źródło:
Mathematica Applicanda; 1993, 22, 36
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Influence of the Wall Acoustic Impedance on the Room Acoustics. The Exact Solution
Autorzy:
Brański, A.
Kocan-Krawczyk, A.
Prędka, E.
Powiązania:
https://bibliotekanauki.pl/articles/177084.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Fourier analysis
architectural acoustics
absorption coefficients
boundary-value problems
Opis:
The Fourier method is applied to the description of the room acoustics field with the combination of uniform impedance boundary conditions imposed on some walls. These acoustic boundary conditions are expressed by absorption coefficient values In this problem, the Fourier method is derived as the combination of three one-dimensional Sturm-Liouville (S-L) problems with Robin-Robin boundary conditions at the first and second dimension and Robin-Neumann ones at the third dimension. The Fourier method requires an evaluation of eigenvalues and eigenfunctions of the Helmholtz equation, via the solution of the eigenvalue equation, in all directions. The graphic-analytical method is adopted to solve it It is assumed that the acoustic force constitutes a monopole source and finally the forced acoustic field is calculated. As a novelty, it is demonstrated that the Fourier method provides a useful and efficient approach for a room acoustics with different values of wall impedances. Theoretical considerations are illustrated for rectangular cross-section of the room with particular ratio. Results obtained in the paper will be a point of reference to the numerical calculations.
Źródło:
Archives of Acoustics; 2017, 42, 4; 677-687
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical solution of mixed boundary value problems using the displacement potential approach for the case of plane stress and plane strain conditions
Autorzy:
Deb Nath, S. K.
Powiązania:
https://bibliotekanauki.pl/articles/266247.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
rozwiązanie analityczne
naprężenie płaskie
odkształcenie
wartość graniczna
analytical solution
displacement potential approach
plane stress and plane strain conditions
mixed boundary value problems
Opis:
Two elastic plate problems made of duralumin are solved analytically using the displacement potential approach for the case of plane strain and plane stress conditions. Firstly, a one end fixed plate is considered in which the rest of the edges are stiffened and a uniform load is applied to the opposite end of the fixed end. Secondly, a plate is considered in which all of the edges are stiffened and a uniform tension is applied at its both ends. Solutions to both of the problems are presented for the case of plane stress and plane strain conditions. The effects of plane stress and plane strain conditions on the solutions are explained. In the case of stiffening of the edges of the plate, the shape of the plate does not change abruptly, which is clearly observed in both of the cases. For the plane strain condition, the plates become stiffer in the loading direction as compared to the plane stress condition. For the plane strain condition, there is a significant variation of the normal stress component, σzz at different sections of the plate. The graphical results, clearly identify the critical regions of the plate for the case of the plane stress and plane strain condition.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 269-291
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of PIES and rectangular Bezier surfaces to complex and non-homogeneous problems of elasticity with body forces
Autorzy:
Boltuc, A.
Zieniuk, E.
Powiązania:
https://bibliotekanauki.pl/articles/1955310.pdf
Data publikacji:
2010
Wydawca:
Politechnika Gdańska
Tematy:
boundary problems
elasticity
body forces
non-homogeneous materials
Bezier surfaces
parametric integral equation system (PIES)
Opis:
This paper presents a variety of applications of an effective way to solve boundary value problems of 2D elasticity with body forces. An overview of the approach is presented, its numerical implementation, as well as a number of applications, ranging from problems defined on elementary shapes to complex problems, e.g. with non-homogeneous material. The results obtained by the parametric integral equation system (PIES) were compared with the analytical and numerical solutions obtained by other computer methods, confirming the effectiveness of the method and its applicability to a variety of problems.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2010, 14, 4; 363-376
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of eigenvalues of nonselfadjoint problems on an infinite interval
Autorzy:
Regińska, Teresa
Powiązania:
https://bibliotekanauki.pl/articles/748435.pdf
Data publikacji:
1979
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Linear boundary value problems,Linear equations,Eigenvalue problems
Opis:
W pracy badane są zagadnienia własne Lu=a u. Dowodzi się, iż wartości własne tego zagadnienia są aproksymowane przez wartości własne pewnych zagadnień własnych na przedziałach skończonych.
The author treats the problem of approximation of the eigenvalues of the nonselfadjoint problem Lu=λu, u(0)=0, u∈L2(0,∞), where L=−d2/dt2+p(x), domL={u∈L2(0,∞):du/dt continuous, d2u/dt2∈L2(0,∞), u(0)=0}. The same question for a selfadjoint problem was answered in the author's recent paper.
Źródło:
Mathematica Applicanda; 1979, 7, 14
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain
Autorzy:
Żyjewski, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/960139.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
boundary value problems
weak solutions
second order elliptic linear equations
nonlocal Robin problem
corner points
Dini-continuity
Opis:
We investigate the behaviour of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighbourhood of the boundary corner point. We find the exponent of the solution decreasing rate under the assumption that the leading coefficients of the equations do not satisfy the Dini-continuity condition.
Źródło:
Commentationes Mathematicae; 2017, 57, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundary value problems for Poisson integrals for Hermite expansions
Autorzy:
Krech, G.
Powiązania:
https://bibliotekanauki.pl/articles/121732.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
zagadnienia brzegowe
całka Poissona
wielomiany Hermite'a
boundary value problems
Poisson integral
Hermite expansions
Opis:
The aim of this paper is the study the Poisson integral for Hermite expansions. We present some boundary value problems related to this integral and its various modifications.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2014, 19; 189-193
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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:
Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
Autorzy:
Auzinger, W.
Karner, E.
Koch, O.
Weinmuller, E.
Powiązania:
https://bibliotekanauki.pl/articles/255635.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
polynomial collocation
singular boundary value problems
linear and nonlinear eigenvalue problems
Opis:
We demonstrate that eigenvalue problems for ordinary differential equations can be recast in a formulation suitable for the solution by polynomial collocation. It is shown that the well-posedness of the two formulations is equivalent in the regular as well as in the singular case. Thus, a collocation code equipped with asymptotically correct error estimation and adaptive mesh selection can be successfully applied to compute the eigenvalues and eigenfunctions efficiently and with reliable control of the accuracy. Numerical examples illustrate this claim.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 229-241
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference functional inequalities and applications
Autorzy:
Szafrańska, A.
Powiązania:
https://bibliotekanauki.pl/articles/255602.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
initial boundary value problems
difference functional inequalities
difference methods
stability and convergence
interpolating operators
error estimates
Opis:
The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 405-423
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Entropy generation minimization in steady-state and transient diffusional heat conduction processes Part I – Steady-state boundary value problem
Autorzy:
Kolenda, Z. S.
Szmyd, J. S.
Huber, J.
Powiązania:
https://bibliotekanauki.pl/articles/200901.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
heat conduction
entropy generation
boundary value problems
Euler-Lagrange variational equation
przewodzenia ciepła
generacja entropii
problemy granica -wartość
wariacyjne równanie Eulera-Lagrange'a
Opis:
An application of the Entropy Generation Minimization principle allows new formulation of the boundary and initial boundaryvalue problems. Applying Euler-Lagrange variational formalism new mathematical form of heat conduction equation describing steady-state processes have been derived. Mathematical method presented in the paper can also be used for any diffusion heat and mass transfer process. Linear and non-linear problems with internal heat sources have been analyzed.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 4; 875-882
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
Autorzy:
Chidouh, A.
Torres, D. F. M.
Powiązania:
https://bibliotekanauki.pl/articles/255913.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fractional difference equations
Lyapunov-type inequalities
fractional boundary value problems
positive solutions
Opis:
We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities are obtained.
Źródło:
Opuscula Mathematica; 2018, 38, 1; 31-40
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side
Autorzy:
Averna, Diego
Bonanno, Gabriele
Powiązania:
https://bibliotekanauki.pl/articles/1294053.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
multivalued differential inclusions
boundary value problems
non-convex and unbounded right-hand side
directional continuous selections
implicit equations
Opis:
Let $F:[a,b] × ℝ^n × ℝ^n → 2^{ℝ^n}$ be a multifunction with possibly non-convex and unbounded values. The main result of this paper (Theorem 1) asserts that, given the multivalued boundary value problem ($P_F$)    {u'' ∈ F(t,u,u'), u(a) = u(b) = ϑ_{ℝ^n}, if an appropriate restriction of the multifunction F has non-empty and closed values and satisfies the lower Scorza Dragoni property and a weak integrable boundedness type condition, then we can substitute the problem ($P_F$) with another one ($P_G$), with a suitable convex right-hand side G, such that every generalized solution of ($P_G$) is also a generalized solution of ($P_F$) (see also Remark 1 and Corollary 1). As a consequence of our results, in conjunction with those in [13] and [18], some existence theorems for multivalued boundary value problems are then presented (see Theorem 2, Corollary 2 and Theorem 3). Finally, some applications are given to the existence of generalized solutions for two implicit boundary value problems (Theorems 4-6).
Źródło:
Annales Polonici Mathematici; 1999, 71, 3; 253-271
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 62

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