Abstract
We consider linear second order singularly perturbed two-point boundary value problems with interior turning points. Piecewise linear Galerkin finite element methods are constructed on various piecewise equidistant meshes designed for such problems. These methods are proved to be convergent, uniformly in the singular perturbation parameter, in a weighted energy norm and the usualL 2 norm. Supporting numerical results are presented.
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Sun, G., Stynes, M. Finite element methods on piecewise equidistant meshes for interior turning point problems. Numer Algor 8, 111–129 (1994). https://doi.org/10.1007/BF02145699
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DOI: https://doi.org/10.1007/BF02145699