Galerkin mixed finite element method for parabolic p-biharmonic equation with memory term

Abderrazak Chaoui ^[1] ; Manal Djaghout ^[1]
1. [1] Department of Mathematics, Faculty of Sciences, University 8 May 1945
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 81, Nº. 3, 2024, págs. 495-509
Idioma: inglés
DOI: 10.1007/s40324-023-00337-1
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Resumen
- A high-order parabolic p-biLaplace equation with memory term is studied. Using Roth’s method, we managed to find the approximate solution of the time semi-discretized problem. Some a priori estimates are proved, from which we extract convergence, existence, uniqueness and qualitative results in suitable functional spaces. A full discretization scheme using the mixed finite element method is introduced. Finally, a numerical experiment is presented to verify the convergence of the proposed scheme.