Article ID Journal Published Year Pages File Type
4638269 Journal of Computational and Applied Mathematics 2015 10 Pages PDF
Abstract

This paper deals with the adaptive mesh generation for singularly perturbed nonlinear parameterized problems with a comparative research study on them. We propose an a posteriori error estimate for singularly perturbed parameterized problems by moving mesh methods with fixed number of mesh points. The well known a priori meshes are compared with the proposed one. The comparison results show that the proposed numerical method is highly effective for the generation of layer adapted a posteriori meshes. A numerical experiment of the error behavior on different meshes is carried out to highlight the comparison of the approximated solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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