Uniform error estimates for general semilinear turning point problems on layer-adapted meshes
Year: 2017
Type: preprint
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 $\varepsilon$ are proven in the energy norm.
Source: arXiv (Cornell University)
Author: Becher, Simon
Institution: Technische Universität Dresden
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2581484302