Multi-level hp-adaptivity and explicit error estimation

Author:

D’Angella DavideORCID,Zander Nils,Kollmannsberger Stefan,Frischmann Felix,Rank Ernst,Schröder Andreas,Reali Alessandro

Funder

Deutsche Forschungsgemeinschaft

Technische Universität München-Institute for Advanced Study

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Engineering (miscellaneous),Modeling and Simulation

Reference51 articles.

1. Babuška I, Guo B. The h, p and hp version of the finite element method basic theory and applications. NASA STI/Recon Tech Rep N. 1992;93:22550.

2. Mitchell WF, McClain MA. A comparison of hp-adaptive strategies for elliptic partial differential equations. ACM Trans Math Softw (TOMS). 2014;41(1):2.

3. Rachowicz W, Oden JT, Demkowicz L. Toward a universal $$h-p$$ h - p adaptive finite element strategy, part 3. Design of h-p meshes. Comput Methods Appl Mech Eng. 1989;77:181–212.

4. Demkowicz L. Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1 one and two dimensional elliptic and maxwell problems. Boca Raton: CRC Press; 2006.

5. Bank RE, Sherman AH, Weiser A. Some refinement algorithms and data structures for regular local mesh refinement. Sci Comput Appl Math Comput Phys Sci. 1983;1:3–17.

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