Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 290, Issue -, Pages 16-25Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2015.04.034
Keywords
Singular perturbation; Moving mesh methods; Mesh equidistribution; Uniformly convergent adaptive solution; A priori meshes; A posteriori meshes
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Funding
- National Board of Higher Mathematics, Department of Atomic Energy, Govt. of India
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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. (C) 2015 Elsevier B.V. All rights reserved.
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