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AN hp-FEM FOR SINGULARLY PERTURBED TRANSMISSION PROBLEMS
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作者 Serge Nicaise Christos Xenophontos 《Journal of Computational Mathematics》 SCIE CSCD 2017年第2期152-168,共17页
We perform the analysis of the hp finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust ... We perform the analysis of the hp finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust exponential convergence, as the degree p of the approximating polynomials is increased, when the error is measured in the energy norm associated with the boundary value problem. In the present article we sharpen the result by showing that the hp-Finite Element Method (FEM) on Spectral Boundary Layer Meshes leads to robust exponential convergence in a stronger, more balanced norm. Several numerical results illustrating and extending the theory are also nresented. 展开更多
关键词 Singularly perturbed transmission problem Boundary layers Interface layers hp-FEM Balanced norm Exponential convergence.
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