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https://hdl.handle.net/10316/11146
Title: | Lifting solutions of quasilinear convection-dominated problems | Authors: | Ferreira, J. A. Mouro, A. P. Oliveira, P. |
Keywords: | Convection-dominated problem; Non-uniform meshes; Convergence | Issue Date: | 30-Apr-2009 | Publisher: | Taylor & Francis | Citation: | International Journal of Computer Mathematics. (2009) iFirst | Abstract: | 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 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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Lifting solutions of quasilinear convection-dominated problems.pdf | 590.1 kB | Adobe PDF | View/Open |
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