Temat: metoda Galerkina - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Discontinuous Galerkin method for the three-dimensional problem of thermoelasticity
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Powiązania:: https://bibliotekanauki.pl/articles/122786.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: thermoelasticity
finite element method
discontinuous Galerkin method
termoelastyczność
metoda elementów skończonych
nieciągła metoda Galerkina
Opis:: The paper is focused on the mathematical and numerical approaches for the thermoelasticity problem in the three-dimensional domain. The mathematical description of considered problem is based on the second order differential equations of elasticity with the term describing thermal deformations. The numerical model uses the discontinuous Galerkin method which is widely used to solve the problems of hydrodynamics. The presented paper shows the possibility of using the mentioned method to solve the problem of thermomechanics.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 115-126
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The comparison of results obtained from the continuous and discontinuous Galerkin Method for the thermoelasticity problem
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Powiązania:: https://bibliotekanauki.pl/articles/2141510.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: thermoelasticity
finite element method
discontinuous Galerkin method
termosprężystość
metoda elementów skończonych
nieciągła metoda Galerkina
Opis:: The presented paper is focused on the comparison of the Continuous and Discontinuous Galerkin Methods in terms of thermoelasticity for a cubic element. For this purpose, a numerical model of the phenomenon was built using both methods together with the Finite Element Method (FEM). The comparison of the results of numerical simulation obtained with the use of an original computer program based on the derived final set of FEM equations for both methods is presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 3; 77-88
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes
Autorzy:: Dumbser, M.
Munz, C. D.
Powiązania:: https://bibliotekanauki.pl/articles/929695.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: nieciągła metoda Galerkina
warunek źródłowy
warunek brzegowy
discontinuous Galerkin schemes
ADER approach
source terms
boundary conditions
unstructured meshes
Opis:: This article is devoted to the discretization of source terms and boundary conditions using discontinuous Galerkin schemes with an arbitrary high order of accuracy in space and time for the solution of hyperbolic conservation laws on unstructured triangular meshes. The building block of the method is a particular numerical flux function at the element interfaces based on the solution of Generalized Riemann Problems (GRPs) with piecewise polynomial initial data. The solution of the generalized Riemann problem, originally introduced by Toro and Titarev in a finite volume context, provides simultaneously a numerical flux function as well as a time integration method. The resulting scheme is extremely local since it integrates the PDE from one time step to the successive one in a single step using only information from the direct side neighbors. Since source terms are directly incorporated into the numerical flux via the solution of the GRP, our very high order accurate method is also able to maintain very well smooth steady-state solutions of PDEs with source terms, similar to the so-called well-balanced schemes which are usually specially designed for this purpose. Boundary conditions are imposed solving inverse generalized Riemann problems. Furthermore, we show numerical evidence proving that by using very high order schemes together with high order polynomial representations of curved boundaries, high quality solutions can be obtained on very coarse meshes.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 297-310
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Application of LDG scheme to solve semi-differential equations
Autorzy:: Izadi, Mohammad
Powiązania:: https://bibliotekanauki.pl/articles/122346.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Caputo fractional derivative
local discontinuous Galerkin method
semi-differential equations
pochodna ułamkowa Caputo
nieciągła metoda Galerkina
schemat LDG
równania różnicowe
Opis:: In the current work, we investigate a technique based on discontinuous Galerkin method for the numerical approximation of semi-differential equations with Caputo’s fractional derivative. In this approach, using the natural upwind fluxes enables us to solve the model problem element by element locally in each subintervals and there is no need to solve a full global matrix. Numerical experiments are given to verify the efficiency and accuracy of the proposed method. Numerical solutions are compared with the exact solutions as well as the numerical solutions obtained by other available well-established computational procedures. The results show that the LDG method is more accurate for solving this class of differential equation with relatively low degrees of polynomials and number of elements.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 27-39
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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