Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer
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Contributors
Abstract
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 ε are proven in the energy norm and in the stronger SDFEM-norm, respectively. Numerical experiments confirm the theoretical findings.
Details
Original language | English |
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Pages (from-to) | 121-136 |
Number of pages | 16 |
Journal | Applied numerical mathematics |
Volume | 123 |
Publication status | Published - Jan 2018 |
Peer-reviewed | Yes |
External IDs
Scopus | 85029803106 |
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