TY  - EJOU
AU  - Das, Pratibhamoy  
AU  - Natesan, Srinivasan  

TI  - Richardson Extrapolation Method for Singularly Perturbed Convection-Diffusion Problems on Adaptively Generated Mesh
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2013
VL  - 90
IS  - 6
SN  - 1526-1506

AB  - 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.
KW  - Singularly perturbed problem
KW  -  Layer-adapted mesh
KW  -  Mesh equidistribution
KW  -  Uniform convergence
KW  -  Higher-order convergence
KW  -  Extrapolation technique

DO  - 10.3970/cmes.2013.090.463