Is There More Than One Dirichlet--Neumann Algorithm for the Biharmonic Problem?

2021 ◽  
Vol 43 (3) ◽  
pp. A1881-A1906
Author(s):  
Martin J. Gander ◽  
Yongxiang Liu
Keyword(s):  
Biharmonic Problem

scholarly journals Existence and multiplicity of solutions for class of Navier boundary $p$-biharmonic problem near resonance

2014 ◽  
Vol 32 (2) ◽  
pp. 83 ◽  
Author(s):  
Mohammed Massar ◽  
EL Miloud Hssini ◽  
Najib Tsouli
Keyword(s):  
Saddle Point ◽  
Point Theorem ◽  
Elliptic Problem ◽  
Weak Solutions ◽  
Mountain Pass Theorem ◽  
Mountain Pass ◽  
Saddle Point Theorem ◽  
Biharmonic Problem ◽  
Existence And Multiplicity ◽  
Near Resonance

This paper studies the existence and multiplicity of weak solutions for the following elliptic problem\\$\Delta(\rho|\Delta u|^{p-2}\Delta u)=\lambda m(x)|u|^{p-2}u+f(x,u)+h(x)$ in $\Omega,$\\$u=\Delta u=0$ on $\partial\Omega.$By using Ekeland's variationalprinciple, Mountain pass theorem and saddle point theorem, theexistence and multiplicity of weak solutions are established.

scholarly journals On stable solutions of the biharmonic problem with polynomial growth

2014 ◽  
Vol 270 (1) ◽  
pp. 79-93 ◽  
Author(s):  
Hatem Hajlaoui ◽  
Abdellaziz Harrabi ◽  
Dong Ye
Keyword(s):  
Polynomial Growth ◽  
Biharmonic Problem ◽  
Stable Solutions

A numerical method for the biharmonic problem

1981 ◽  
Vol 17 (10) ◽  
pp. 1515-1523 ◽  
Author(s):  
Mohamed Amara ◽  
Phillippe Destuynder
Keyword(s):  
Numerical Method ◽  
Biharmonic Problem

scholarly journals Approximation of the biharmonic problem using P1 finite elements

2011 ◽  
Vol 19 (1) ◽  
pp. 1-26 ◽  
Author(s):  
R. Eymard ◽  
R. Herbin ◽  
M. Rhoudaf
Keyword(s):  
Finite Elements ◽  
Biharmonic Problem

scholarly journals Finite volume schemes for the biharmonic problem on general meshes

2012 ◽  
Vol 81 (280) ◽  
pp. 2019-2048 ◽  
Author(s):  
R. Eymard ◽  
T. Gallouët ◽  
R. Herbin ◽  
A. Linke
Keyword(s):  
Finite Volume ◽  
Finite Volume Schemes ◽  
Biharmonic Problem ◽  
General Meshes
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