Results 11 to 20 of about 9,477 (197)

Mixed Finite Element Formulation of the Biharmonic Equation [PDF]

open access: yes, 2005
We will provide an abstract setting for mixed finite element method for biharmonic equation. The abstract setting casts mixed finite element method for first biharmonic equation and sec- ond biharmonic equation into a single framework altogether. We provide
GARNADI, A. D. (A)
core   +2 more sources

An Extension Use of ADI Method in the Solution of Biharmonic Equation [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2006
The Biharmonic equation is one of partial differential equations which arise from discussion of some applied sciences such as fluid dynamics. In this paper, we have adopted a numerical method to solve that equation, this method is developed basically ...
Ahmed Jassim
doaj   +1 more source

The two obstacle problem for the parabolic biharmonic equation [PDF]

open access: yes, 2015
We consider a two obstacle problem for the parabolic biharmonic equation in a bounded domain. We prove long time existence of solutions via an implicit time discretization scheme, and we investigate the regularity properties of solutions.Comment: 20 ...
Novaga, Matteo, Okabe, Shinya
core   +2 more sources

Progective algorithm of boundary value problem for inhomogeneous Lame's equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The method of boundary value problem solution for the stationary inhomogeneous Lame's equation is considered. An appointed vector-function space splitting is used that leads to inhomogeneous biharmonic equation and Poisson's equation problems for ...
A. N. Markovsky, V. G. Lezhnev
doaj   +3 more sources

The generalized warped product and the biharmonic maps [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeIn the first, we consider a smooth map and we calculate the bitension field of the map as a consequence, we treat the biharmonicity of the second projection.
Abderrazak Halimi, Seddik Ouakkas
doaj   +1 more source

On surface completion and image inpainting by biharmonic functions: Numerical aspects [PDF]

open access: yes, 2018
Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the ...
Damelin, S. B., Hoang, N. S.
core   +3 more sources

An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem

open access: yes, 2020
We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discretization of the system in time using convex splitting leads to a modified
Jiang, Shidong   +3 more
core   +1 more source

An overdetermined problem of the biharmonic operator on Riemannian manifolds

open access: yesBoundary Value Problems, 2023
Let ( M , g ) $(M,g)$ be an n-dimensional complete Riemannian manifold with nonnegative Ricci curvature. In this paper, we consider an overdetermined problem of the biharmonic operator on a bounded smooth domain Ω in M.
Fan Chen, Qin Huang, Qihua Ruan
doaj   +1 more source

Solving the nonlinear biharmonic equation by the Laplace-Adomian and Adomian decomposition methods [PDF]

open access: yesSurveys in Mathematics and its Applications, 2018
The biharmonic equation, as well as its nonlinear and inhomogeneous generalizations, plays an important role in engineering and physics. In particular the focusing biharmonic nonlinear Schrödinger equation, and its standing wave solutions, have been ...
Man Kwong Mak   +2 more
doaj  

Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

open access: yesBoundary Value Problems, 2019
In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the ...
Jinguo Zhang, Tsing-San Hsu
doaj   +1 more source

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