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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 Universitšt Wien.