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Weak Galerkin finite element method for an inhomogeneous Brusselator model with cross-diffusion | ||
| Journal of Mathematical Modeling | ||
| مقاله 2، دوره 7، شماره 3، آذر 2019، صفحه 277-285 اصل مقاله (986.98 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.13501.1277 | ||
| نویسندگان | ||
| Leila Jafarian Khaled-Abad1؛ Rezvan Salehi* 2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran | ||
| 2Department of Applied Mathematics Faculty of Mathematical Sciences Tarbiat Modares University,Tehran,Iran | ||
| چکیده | ||
| A new weak Galerkin finite element method is applied for time dependent Brusselator reaction-diffusion systems by using discrete weak gradient operators over discontinuous weak functions. In this work, we consider the lowest order weak Galerkin finite element space $(P_{0},P_{0},RT_{0})$. Discrete weak gradients are defined in Raviart-Thomas space. Thus we employ this approximate space on triangular mesh for solving unknown concentrations $ (u,v)$ in Brusselator reaction-diffusion systems. Based on a weak varitional form, semi-discrete and fully-discrete weak Galerkin finite element scheme are obtained. In addition, the paper presents some numerical results to illustrate the power of proposed method. | ||
| کلیدواژه‌ها | ||
| Weak Galerkin finite element method؛ Reaction-diffusion system؛ Weak gradient | ||
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