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A stabilized multidomain approach for singular perturbation problems

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Abstract

We present a new technique of stabilization for finite difference or spectral approximations of singular perturbation problems. Here we allow the artificial viscosity to be constant and independent of the step size. The results are generalized to variable coefficient problems. Suitable multigrid components are proposed. Numerical results are presented which substantiate the usefulness of our technique.

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Heinrichs, W. A stabilized multidomain approach for singular perturbation problems. J Sci Comput 7, 95–125 (1992). https://doi.org/10.1007/BF01059944

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