Zeitschriftenartikel:
M. Faustmann, J. Melenk:
"Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains";
Computers and Mathematics with Applications,
74
(2017),
S. 1576
- 1589.
Kurzfassung englisch:
The hp-version of the finite element method is applied to singularly perturbed reaction-diffusion type equations on polygonal domains. The solution exhibits boundary layers as well as corner layers. On a class of meshes that are suitably refined near the boundary and the corners, robust exponential convergence (in the polynomial degree) is shown in both a balanced norm and the maximum norm.
Schlagworte:
High order FEM; Singular perturbation; Balanced norm; Uniform estimates
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.camwa.2017.03.015
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.