Uniform error estimates for general semilinear turning point problems on layer-adapted meshes
Numerical Analysis
2017-01-24 v1
Abstract
We consider a singularly perturbed semilinear boundary value problem of a general form that allows various types of turning points. A solution decomposition is derived that separates the potential exponential boundary layer terms. The problem is discretized using higher order finite elements on suitable constructed layer-adapted meshes. Finally, error estimates uniform with respect to the singular perturbation parameter are proven in the energy norm.
Cite
@article{arxiv.1701.06323,
title = {Uniform error estimates for general semilinear turning point problems on layer-adapted meshes},
author = {Simon Becher},
journal= {arXiv preprint arXiv:1701.06323},
year = {2017}
}
Comments
28 pages