Temat: biharmonic operator - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation
Autorzy:: Costa, R.
Machado, G. J.
Clain, S.
Powiązania:: https://bibliotekanauki.pl/articles/330268.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: finite volume method
polynomial reconstruction operator
harmonic operator
biharmonic operator
high order method
Opis:: A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is obtained by solving a matrix-free problem. An application in elasticity coupling the two operators is presented. We consider a beam subject to a combination of tensile and bending loads, where the main goal is the stress critical point determination for an intramedullary nail.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 529-537
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
Autorzy:: Kong, L.
Powiązania:: https://bibliotekanauki.pl/articles/254793.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: critical points
p(x)-biharmonic operator
weak solutions
mountain pass lemma
Opis:: We study the multiplicity of weak solutions to the following fourth order nonlinear elliptic problem with a p(x)-biharmonic operator [formula] where Ω is a smooth bounded domain in RN, [formula] is the p(x)-biharmonic operator, and λ > 0 is a parameter. We establish sufficient conditions under which there exists a positive number λ* such that the above problem has at least two nontrivial weak solutions for each λ > λ*. Our analysis mainly relies on variational arguments based on the mountain pass lemma and some recent theory on the generalized Lebesgue-Sobolev spaces [formula].
Źródło:: Opuscula Mathematica; 2016, 36, 2; 253-264
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On some Lr-biharmonic Euclidean hypersurfaces
Autorzy:: Mohammadpouri, A.
Pashaie, F.
Powiązania:: https://bibliotekanauki.pl/articles/357780.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: linearized operator Lr
Lr-biharmonic hypersurfaces
Lr-finite type hypersurfaces
r-minimal
Euclidean space
submanifolds
curvature
hiperprzestrzeń
przestrzeń euklidesowa
podrozmaitość
krzywizna
Opis:: In decade eighty, Bang-Yen Chen introduced the concept of biharmonic hypersurface in the Euclidean space. An isometrically immersed hypersurface $x : M^{n} \rightarrow \mathbb{E}^{n+1}$ is said to be biharmonic if $\Delta^{2}x = 0$, where $\Delta$ is the Laplace operator. We study the $L_{r}$-biharmonic hypersurfaces as a generalization of biharmonic ones, where Lr is the linearized operator of the $(r + 1)$th mean curvature of the hypersurface and in special case we have $L_{0} = \Delta$. We prove that $L_{r}$-biharmonic hypersurface of $L_{r}$-finite type and also $L_{r}$-biharmonic hypersurface with at most two distinct principal curvatures in Euclidean spaces are r-minimal.
Źródło:: Journal of Mathematics and Applications; 2016, 39; 91-104
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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