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Authors
Advisor(s)
Abstract(s)
We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed.
Description
Este trabalho foi financiado pelo Concurso Anual para Projetos de Investigação, Desenvolvimento, Inovação e Criação Artística (IDI&CA) 2019 do Instituto Politécnico de Lisboa. Código de referência IPL/2019/MathMould_ISEL
Keywords
2d Stokes problem Feedback forces CDFEM Existence and uniqueness Consistency and stability Error analysis
Citation
LOPES, Nuno D.; OLIVEIRA, H. B. de – Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem. Computers & Mathematics with Applications. ISSN 0898-1221. Vol. 97 (2021), pp. 122-152
Publisher
Elsevier