Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain
نویسندگان
چکیده
The solution of a linear reaction diffusion equation on a non-convex polygon is proved to be globally regular in a suitable weighted Sobolev space. This result is used to design an optimally convergent Fourier-Finite Element Method (FEM) where the mesh size is suitably refined. Furthermore, the coupled Non-Standard Finite Difference Method (NSFDM)-FEM is presented as a reliable scheme that replicates the essential properties of the exact solution. AMS Subject Classification (2000): 35K05, 44A10, 46E35, 65M60, 65M99.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 23 شماره
صفحات -
تاریخ انتشار 2010