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https://hdl.handle.net/10316/11146
Título: | Lifting solutions of quasilinear convection-dominated problems | Autor: | Ferreira, J. A. Mouro, A. P. Oliveira, P. |
Palavras-chave: | Convection-dominated problem; Non-uniform meshes; Convergence | Data: | 30-Abr-2009 | Editora: | Taylor & Francis | Citação: | International Journal of Computer Mathematics. (2009) iFirst | Resumo: | In certain cases, quasilinear convection-diffusion-reaction equations range from parabolic to almost hyperbolic, depending on the ratio between convection and diffusion coefficients. From a numerical point of view, two main difficulties can arise related to the existence of layers and/or the non-smoothness of the coefficients of such equations. In this paper we study the steady-state solution of a convection-dominated problem. We present a new numerical method based on the idea of solving an associated modified problem, whose solution corresponds to a lifting of the solution of the initial problem. The method introduced here avoids an a priori knowledge of the layer(s) location and allows an efficient handling of the lack of smoothness of the coefficients. Numerical simulations that show the effectiveness of our approach are included. | URI: | https://hdl.handle.net/10316/11146 | ISSN: | 0020-7160 | DOI: | 10.1080/00207160802385800 | Direitos: | openAccess |
Aparece nas coleções: | FCTUC Matemática - Artigos em Revistas Internacionais |
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Ficheiro | Descrição | Tamanho | Formato | |
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Lifting solutions of quasilinear convection-dominated problems.pdf | 590.1 kB | Adobe PDF | Ver/Abrir |
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