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Wyświetlanie 1-10 z 2555
Tytuł:
Finite extensions of mappings from a smooth variety
Autorzy:
Karaś, Marek
Powiązania:
https://bibliotekanauki.pl/articles/1207927.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
finite extension
geometric degree
finite mapping
Opis:
Let V, W be algebraic subsets of $k^n$, $k^m$ respectively, with n ≤ m. It is known that any finite polynomial mapping f: V → W can be extended to a finite polynomial mapping $F: k^{n} → k^{m}.$ The main goal of this paper is to estimate from above the geometric degree of a finite extension $F: k^n → k^n$ of a dominating mapping f: V → W, where V and W are smooth algebraic sets.
Źródło:
Annales Polonici Mathematici; 2000, 75, 1; 79-86
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Superconvergence in the finite element method
Autorzy:
Leyk, Zbigniew
Powiązania:
https://bibliotekanauki.pl/articles/748740.pdf
Data publikacji:
1982
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Opis:
MR0707821
For some variants of the finite element method there exist points having a remainder value or a derivation remainder remarkably less than those given by global norms. This phenomenon is called superconvergence and the points are called superconvergence points. The generalized problem corresponding to (1) is as follows: Let Hk(Ω) be Sobolev space and Hk0(Ω) the completion of the space C∞0(Ω) with norm ∥⋅∥k,Ω. Find u∈H10(Ω) such that for each v∈H10(Ω), (2) a(u,v)=(f,v)0 holds, where a(u,v)=∫Ω(∑n|α|=0aα(x)DαuDαv)dx, (f,v)0=∫Ωf(x)v(x)dx, Dα=Dα11⋯Dαnn,1.5pt Dαiiu=∂αiu/∂xαii, i=1,n¯¯¯¯¯¯¯¯. The approximate problem of the finite element variant considered is the following: Find uh∈Vh such that (3) for all v∈Vh, a(uh,v)=(f,v)0. The main result is the theorem: Let ai∈C(Ω¯), D1ai,D2ai∈L∞(Ω),i=1,2,∥σ∥∞L(Ω)≤σ,f∈L2(Ω). Suppose the eigenvalues of the operator L are different from zero, and u∈H4(Ω)∩H10(Ω). Then there exists h0 such that for h≤h0, h2∑P∈G|grad(u−uh)(P)|≤Ch3(|u|3+|u|4), where u and uh are the solutions of problems (2) and (3), respectively, and C is some constant independent of h. Further, |u|k={∫Ω(∑|α|=k(Dαu)2)dx}1/2, G=⋃N1N2i=1Fi(R), R={(±3√/3,±3√/3)} is a Gauss point set in the quadrant S={(ξ1,ξ2):|ξk|≤1,k=1,2}, and Fi(F(1)i,F(2)i):S→ei, ei an element; F(1)i(ξ1,ξ2)=x(i)0+h1ξ1/2, F(2)i(ξ1,ξ2)=y(i)0+h2ξ2/2, and (x(i)0,y(i)0) is the middle element.
Źródło:
Mathematica Applicanda; 1982, 10, 20
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flow simulations in cross-flow fans using the finite element and finite volume methods
Autorzy:
Sowa, A.
Powiązania:
https://bibliotekanauki.pl/articles/1955710.pdf
Data publikacji:
2004
Wydawca:
Politechnika Gdańska
Tematy:
turbomachinery
cross-flow fan
finite element method
finite volume method
usteady flow analysis
Opis:
Both basic computational fluid dynamics methods: the finite element method (FEM) and the finite volume method (FVM) have been used to simulate flow fields in a cross-flow fan (CFF). A review of previous numerical simulations of flow in CFF's is presented. The theorethical foundations of the applied numerical algorithms and specifications of the computer programs are given. The procedure of computations is described in detail. Computational results are shown in the form of contour and vector velocity and contour pressure plots.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2004, 8, 1; 41-49
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bing maps and finite-dimensional maps
Autorzy:
Levin, Michael
Powiązania:
https://bibliotekanauki.pl/articles/1205475.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
finite-dimensional maps
hereditarily indecomposable continua
Opis:
Let X and Y be compacta and let f:X → Y be a k-dimensional map. In [5] Pasynkov stated that if Y is finite-dimensional then there exists a map $g : X → \mathbb{I}^k$ such that dim (f × g) = 0. The problem that we deal with in this note is whether or not the restriction on the dimension of Y in the Pasynkov theorem can be omitted. This problem is still open.
 Without assuming that Y is finite-dimensional Sternfeld [6] proved that there exists a map $g : X → \mathbb{I}^k$ such that dim (f × g) = 1. We improve this result of Sternfeld showing that there exists a map $g : X → mathbb{I}^{k+1}$ such that dim (f × g) =0. The last result is generalized to maps f with weakly infinite-dimensional fibers.
 Our proofs are based on so-called Bing maps. A compactum is said to be a Bing compactum if its compact connected subsets are all hereditarily indecomposable, and a map is said to be a Bing map if all its fibers are Bing compacta. Bing maps on finite-dimensional compacta were constructed by Brown [2]. We construct Bing maps for arbitrary compacta. Namely, we prove that for a compactum X the set of all Bing maps from X to $\mathbb{I}$ is a dense $G_δ$-subset of $C(X, \mathbb{I})$.
Źródło:
Fundamenta Mathematicae; 1996, 151, 1; 47-52
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical simulations of arteries with an adaptive finite element method
Autorzy:
Fuksa, A. K.
Rachowicz, W.
Powiązania:
https://bibliotekanauki.pl/articles/280674.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
computational biomechanics
finite element method
adaptivity
error estimation
finite deformation
Opis:
This paper presents applications of the adaptive FEM in computational biomechanics. The study involves finite deformation of artery walls built of layers of elastic, nearly incompressible (rubber-like) materials. The models are reinforced with nearly inextensible collagen fibres stretched along the directions close to the circumferential direction. A Total Lagrangian technique based on the displacement-pressure formulation is presented. Residual error estimates and finite element mesh adaptation strategies are developed. The procedures are illustrated for solutions of arteries under various load considerations.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 917-925
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Coupled finite volume and finite element method analysis of a complex large-span roof structure
Autorzy:
Szafran, J.
Juszczyk, K.
Kamiński, M.
Powiązania:
https://bibliotekanauki.pl/articles/264364.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Finite Volume Method
CFD simulation
finite element method
wind engineering
metoda elementów skończonych
inżynieria wiatrowa
metoda objętości skończonych
Opis:
The main goal of this paper is to present coupled Computational Fluid Dynamics and structural analysis for the precise determination of wind impact on internal forces and deformations of structural elements of a longspan roof structure. The Finite Volume Method (FVM) serves for a solution of the fluid flow problem to model the air flow around the structure, whose results are applied in turn as the boundary tractions in the Finite Element Method problem structural solution for the linear elastostatics with small deformations. The first part is carried out with the use of ANSYS 15.0 computer system, whereas the FEM system Robot supports stress analysis in particular roof members. A comparison of the wind pressure distribution throughout the roof surface shows some differences with respect to that available in the engineering designing codes like Eurocode, which deserves separate further numerical studies. Coupling of these two separate numerical techniques appears to be promising in view of future computational models of stochastic nature in large scale structural systems due to the stochastic perturbation method.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 4; 995-1017
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On kaleidoscopic pseudo-randomness of finite Euclidean graphs
Autorzy:
Vinh, Le
Powiązania:
https://bibliotekanauki.pl/articles/743749.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
finite Euclidean graphs
kaleidoscopic pseudo-randomness
Opis:
D. Hart, A. Iosevich, D. Koh, S. Senger and I. Uriarte-Tuero (2008) showed that the distance graphs has kaleidoscopic pseudo-random property, i.e. sufficiently large subsets of d-dimensional vector spaces over finite fields contain every possible finite configurations. In this paper we study the kaleidoscopic pseudo-randomness of finite Euclidean graphs using probabilistic methods.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 279-287
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Higher-order finite element particle tracing in external electrostatic field
Autorzy:
Mach, F.
Karban, P.
Doležel, I.
Powiązania:
https://bibliotekanauki.pl/articles/377113.pdf
Data publikacji:
2012
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
finite elements
electrostatic field
external electrostatic field
higher-order finite element method
Opis:
Simulation of movement of a large number of charged particles in external electrostatic field is of great importance for a correct design of separators whose aim is to select them according to the sign of their charge. The paper deals with modeling of their trajectories in a specific arrangement consisting of a profile vessel equipped with two electrodes and several collecting bins. Electric field between the electrodes is determined using a fully adaptive higher-order finite element method. The movement (velocities and trajectories) of the particles affected by electric field, gravity and aerodynamic resistance is modeled by an adaptive Runge-Kutta-Fehlberg method with an appropriately varying time step. On the other hand, their charges are rather low, so that it is possible to neglect the Coulomb forces acting among them. The methodology is illustrated by a typical example whose results are discussed.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2012, 69; 23-31
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Laminar mixing flow in a stirred vessel
Autorzy:
Egidi, N.
Misici, L.
Piergallini, R.
Powiązania:
https://bibliotekanauki.pl/articles/1964081.pdf
Data publikacji:
2001
Wydawca:
Politechnika Gdańska
Tematy:
mixing flow
laminar mixing flow
viscous liquids
finite elements
finite element analysis
finite element method
Opis:
Using finite element method we study the transient motion of fluid particles in a 3D cavity, when the fluid is incompressible viscous and with uniform density. The fluid is mixed under the action of four-blades turbine that is simulated by a velocity function. The mixing quality of the fluid is studied qualitatively, by visualization, and quantitatively, by measuring the indices of diffusion and dispersion.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2001, 5, 1; 71-83
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solving some deterministic finite horizon inventory models
Autorzy:
Sinha, P.
Powiązania:
https://bibliotekanauki.pl/articles/406508.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
inventory
finite horizon
globally optimal solution
search method
Opis:
Two single-item, deterministic, continuous, finite horizon inventory models having no shortage have been considered. A demand rate function, which is relatively general, for the item has been assumed. In the first model, units of the item do not deteriorate; while in the second units deteriorate in a constant fraction rate. Some optimality conditions are shown for the models. Based on these properties, single variable search methods have been described to obtain globally optimal solutions. Numerical experiments indicate that the methods yield acceptable solutions within small time and are suitable for practical applications.
Źródło:
Operations Research and Decisions; 2013, 23, 1; 63-74
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 2555

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