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On the robust exponential convergence of hp finite element methods for problems with boundary layers
The hp version of the finite element method for a one-dimensional,singularly perturbed elliptic-elliptic model problem with analyticinput data is considered. It is shown that the use of piecewisepolynomials of degree p on a mesh consisting of three suitablychosen elements leads to robust exponential convergence, i.e.,the exponential rate of convergence depends only on the inputdata and is independent of the perturbation parameter. 相似文献
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