Temat: finite element discretization - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Modeling and simulations for quasistatic frictional contact of a linear 2D bar
Autorzy:: Barboteu, M.
Djehaf, N.
Shillor, M.
Sofonea, M.
Powiązania:: https://bibliotekanauki.pl/articles/279259.pdf
Data publikacji:: 2017
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: new 2D bar
contact
friction
computational results
finite element discretization
Opis:: This work considers a mathematical model that describes quasistatic evolution of an elastic 2D bar that may come in frictional contact with a deformable foundation. We present the model and some of its underlying assumptions. In particular, the novelty in the model is that both vertical and horizontal motions are taken into account, which makes it especially useful when frictional contact is concerned. Contact is described with the normal compliance condition and friction with the Coulomb law of dry friction. We introduce a hybrid variational formulation of the problem and a numerical discretization based on a uniform time step and the finite element method in space. The numerical algorithm has been implemented, and we present computer simulations that illustrate the mechanical behavior of the system with emphasis on frictional aspects of the problem.
Źródło:: Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 897-910
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems
Autorzy:: Merino, Pedro
Neitzel, Ira
Tröltzsch, Fredi
Powiązania:: https://bibliotekanauki.pl/articles/729230.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: elliptic optimal control problem
state constraints
error estimates
finite element discretization
Opis:: In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to ilustrate our theory.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 221-236
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Numerical model of mass transfer in porous medium
Autorzy:: P'yanylo, Y.D.
Lopuch, N.B.
Powiązania:: https://bibliotekanauki.pl/articles/1933956.pdf
Data publikacji:: 2012
Wydawca:: Politechnika Gdańska
Tematy:: gas filtration
finite element method
discretization
Opis:: A new numerical model of gas filtration in a porous medium is proposed and investigated. Gas filtration is modeled with a nonlinear differential equation in partial derivatives. Methods of solving the equation are discussed. A computer experiment basing on real-experiment-extracted input physical and geometrical parameters is performed and its results are analyzed. The received results agree well with the corresponding experimental data.
Źródło:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 3-4; 229-238
1428-6394
Pojawia się w:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Methods of discretization objects continuum implemented in fem preprocessors
Autorzy:: Korga, S.
Makarewicz, A.
Lenik, K.
Powiązania:: https://bibliotekanauki.pl/articles/102103.pdf
Data publikacji:: 2015
Wydawca:: Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:: discretization
finite element method
models
Opis:: Finite Element Method (FEM) called Finite Element Analysis is a tool for computer-aided engineering and analysis. It is used to solve problems related to changes in the geometry of the structure as a result of external factors. FEM is used to model engineering processes where real objects are converted to discrete models. Finite Element Method uses a method of obtaining approximate solutions by approximation of partial differential equations. The process of testing and mathematical computation model is described by the equations function of the position and time for the nodes. The development of individual models and their groups and definitions of boundary conditions are carried out using computer programs for FEM.
Źródło:: Advances in Science and Technology. Research Journal; 2015, 9, 28; 130-133
2299-8624
Pojawia się w:: Advances in Science and Technology. Research Journal
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Application of grid convergence index in FE computation
Autorzy:: Kwaśniewski, L.
Powiązania:: https://bibliotekanauki.pl/articles/201974.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: discretization error
grid convergence index
finite element
mesh refinement
verification
Opis:: This paper presents an application of the grid convergence index (GCI) concept based on the Richardson extrapolation to a selected simple problem of a cantilever beam loaded with vertical forces at the tip end. The GCI method, popular in computational fluid dynamics, has been recently recommended for finite element (FE) applications in solid and structural mechanics. Based on the results obtained usually for three meshes, the GCI method enables one to determine, in an objective manner, the order of convergence to estimate the asymptotic solution and the bounds for discretization error. The example shows that the characteristics of the convergence depend on the selection of the quantity of interest, which can be local or a global functional such as the deflection considered here. The results differ for different FE formulations, and the difference is bigger when the nonlinearities (e.g., due to plastic response) are taken into account.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 1; 123-128
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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