A fully discrete C0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation

• Autores: Thirupathi Gudi, Hari Shanker Gupta
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 247, Nº 1, 2013, págs. 1-16
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.12.019
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• Resumen

  • A fully discrete C0 interior penalty finite element method is proposed and analyzed for the Extended Fisher�Kolmogorov (EFK) equation ut + ãÄ2u . Äu + u3 . u = 0 with appropriate initial and boundary conditions, where ã is a positive constant. We derive a regularity estimate for the solution u of the EFK equation that is explicit in ã and as a consequence we derive a priori error estimates that are robust in ã .