Interpolation Error Bounds for Curvilinear Finite Elements and Their Implications on Adaptive Mesh Refinement-Reference-Cited by-同舟云学术

Interpolation Error Bounds for Curvilinear Finite Elements and Their Implications on Adaptive Mesh Refinement

Published:2018-08-10 Issue:2 Volume:78 Page:1045-1062
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Moxey David^ORCID,Sastry Shankar P.,Kirby Robert M.

Funder

NIH/NIGMS Center for Integrative Biomedical Computing grant

DoE

Army Research Office

EU Horizon 2020 project Ex- aFLOW

PRISM project under EPSRC

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/article/10.1007/s10915-018-0795-6/fulltext.html

Reference17 articles.

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3. Dupont, T., Scott, R.: Polynomial approximation of functions in sobolev spaces. Math. Comput. 34(150), 441–463 (1980)

4. Arnold, D.N., Boffi, D., Falk, R.S.: Approximation by quadrilateral finite elements. Math. Comput. 71(239), 909–922 (2002)

5. Dekel, S., Levitan, D.: The bramble-hilbert lemma for complex domains. SIAM J. Math. Anal. 35(5), 1103–1112 (2004)

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