hp-boundary layer mesh sequences with applications to shell problems

Authors:
Harri Hakula
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2014

Citing 2
Cited 1

Computational Geometry in C

Computational Geometry in C
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Isogeometric Analysis: Toward Integration of CAD and FEA

Editorial: High-order finite element approximation for partial differential equations

Computers & Mathematics with Applications

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Abstract

Thin shell structures remain the most challenging simple structures from the computational point of view. They have a very rich boundary layer structure including internal layers. In this paper we introduce a method for applying the concept of hp-approximation of boundary layers by Schwab in two-dimensional problems. The effectiveness of the method is demonstrated through a set of experiments both in one- and two-dimensional problems.