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Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer. (arXiv:1604.01327v2 [math.NA] UPDATED)
来源于:arXiv
We consider singularly perturbed boundary value problems with a simple
interior turning point whose solutions exhibit an interior layer. These
problems are discretised using higher order finite elements on layer-adapted
piecewise equidistant meshes proposed by Sun and Stynes. We also study the
streamline-diffusion finite element method (SDFEM) for such problems. For these
methods error estimates uniform with respect to $\varepsilon$ are proven in the
energy norm and in the stronger SDFEM-norm, respectively. Numerical experiments
confirm the theoretical findings. 查看全文>>