Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems

Pratibhamoy Das ^[1]
1. [1] Indian Institute of Science, Bangalore, India
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 16-25
Idioma: inglés
DOI: 10.1016/j.cam.2015.04.034
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Resumen
- 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.