Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers
نویسندگان
چکیده
We consider a singularly perturbed convection-diffusion boundary value problem whose solution contains exponential and characteristic layers. The is numerically solved by the FEM SDFEM method with bilinear elements on graded mesh. For we prove almost uniform convergence superconvergence. use of mesh allows for to yield estimates in SD norm, which not possible Shishkin type meshes. Numerical results are presented support theoretical bounds.
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ژورنال
عنوان ژورنال: Computers & mathematics with applications
سال: 2021
ISSN: ['0898-1221', '1873-7668']
DOI: https://doi.org/10.1016/j.camwa.2021.04.009