<div class="csl-bib-body">
<div class="csl-entry">Faustmann, M., & Melenk, J. M. (2017). Robust exponential convergence of ππ-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains. <i>Computers and Mathematics with Applications</i>, <i>74</i>(7), 1576β1589. https://doi.org/10.1016/j.camwa.2017.03.015</div>
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dc.identifier.issn
0898-1221
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/147528
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dc.description.abstract
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.
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dc.language.iso
en
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dc.publisher
PERGAMON-ELSEVIER SCIENCE LTD
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dc.relation.ispartof
Computers and Mathematics with Applications
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dc.subject
Modeling and Simulation
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dc.subject
Computational Mathematics
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dc.subject
Computational Theory and Mathematics
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dc.subject
Singular perturbation
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dc.subject
High order FEM
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dc.subject
Balanced norm
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dc.subject
Uniform estimates
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dc.title
Robust exponential convergence of ππ-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains
