On the discretization of evolution p-bi-Laplace equation
Manal Djaghout1, Abderrazak Chaoui1, Khaled Zennir2
1UniversitГЁ 8 Mai 1945 Guelma, Guelma, AlgГЁrie
2Qassim University, Ar-Rass, Saudi Arabia
Keywords: evolution p-bi-Laplace equation, mixed finite element method, inf-sup condition and mixed formulation, existence and uniqueness
Abstract
This article discusses the mixed finite element method combined with backward-Euler method to study the hyperbolic p-bi-Laplace equation, where the existence and uniqueness of solution for discretized problem is shown in Lebesgue Sobolev spaces. The mixed formulation and the inf-sup condition are then given to prove the well posed of the scheme and the optimal a priori error estimates for fully discrete schemes is extracted. Finally, a numerical example is given to confirm the theoretical results obtained.
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