On hp-adaptive solution of thin shells of revolution

Harri Hakula*, Tomi Tuominen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

We present an a posteriori hp-adaptive algorithm for shells. In an hp-solver there are two ways to increase accuracy: one can either refine the mesh (h-step) or increase the degree of the polynomial (p-step). In the adaptive setting it is also necessary to have the capability to reverse already made decisions. Our p-approach is influenced by work of Houston and Süli on the estimation of Sobolev regularity and analycity. Due to the possibility of numerical locking we initialize our algorithm only after initial probing of the energy distribution of the solution.

Original languageEnglish
Article number012163
Number of pages10
JournalIOP Conference Series: Materials Science and Engineering
Volume10
Issue number1
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

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