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Richardson Extrapolation Method for Singularly Perturbed Convection-Diffusion Problems on Adaptively Generated Mesh

Pratibhamoy Das1, Srinivasan Natesan2
Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati - 781 039, India, pratibhamoy@iitg.ernet.in /OR pratibhamoy@gmail.com
Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati - 781 039, India, natesan@iitg.ernet.in

Computer Modeling in Engineering & Sciences 2013, 90(6), 463-485. https://doi.org/10.3970/cmes.2013.090.463

Abstract

Adaptive mesh generation has become a valuable tool for the improvements of accuracy and efficiency of numerical solutions over fixed number of meshes. This paper gives an interpretation of the concept of equidistribution for singularly perturbed problems to obtain higher-order accuracy. We have used the post-processing Richardson extrapolation technique to improve the accuracy of the parameter uniform computed solution, obtained on a mesh which is adaptively generated by equidistributing a monitor function. Numerical examples demonstrate the high quality behavior of the computed solution.

Keywords

Singularly perturbed problem, Layer-adapted mesh, Mesh equidistribution, Uniform convergence, Higher-order convergence, Extrapolation technique

Cite This Article

Das, P., Natesan, S. (2013). Richardson Extrapolation Method for Singularly Perturbed Convection-Diffusion Problems on Adaptively Generated Mesh. CMES-Computer Modeling in Engineering & Sciences, 90(6), 463–485.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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