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Mixed Finite Element Formulation of the Biharmonic Equation [PDF]
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)
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An Extension Use of ADI Method in the Solution of Biharmonic Equation [PDF]
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
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The two obstacle problem for the parabolic biharmonic equation [PDF]
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
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Progective algorithm of boundary value problem for inhomogeneous Lame's equation
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
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The generalized warped product and the biharmonic maps [PDF]
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
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On surface completion and image inpainting by biharmonic functions: Numerical aspects [PDF]
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.
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An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
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
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An overdetermined problem of the biharmonic operator on Riemannian manifolds
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
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Solving the nonlinear biharmonic equation by the Laplace-Adomian and Adomian decomposition methods [PDF]
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
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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
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