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A nonlinear bilaplacian equation with hinged boundary conditions and very weak solutions: analysis and numerical solution

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Arregui, I. and Díaz Díaz, Jesús Ildefonso (2014) A nonlinear bilaplacian equation with hinged boundary conditions and very weak solutions: analysis and numerical solution. RACSAM. Serie A. Matemáticas, 108 . pp. 867-879. ISSN 1578-7303

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Official URL: http://link.springer.com/article/10.1007%2Fs13398-013-0148-0#page-1


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Abstract

We study linear and nonlinear bilaplacian problems with hinged boundary conditions and right hand side in L1( : δ), with δ = dist(x, ∂). More precisely, the existence and uniqueness of the very weak solution is obtained and some numerical techniques are proposed for its approximation.


Item Type:Article
Uncontrolled Keywords:Very weak solutions; Distance to the boundary; Nonlinear bilaplacian operator; Hinged boundary conditions; Numerical methods; Finite elements
Subjects:Sciences > Mathematics > Differential equations
ID Code:28848
Deposited On:02 Mar 2015 15:43
Last Modified:12 Dec 2018 15:06

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