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Extended hybridizable discontinuous galerkin with heaviside enrichment for heat bimaterial problems

Author
Gurkan, C.; Kronbichler, M.; Fernandez, S.
Type of activity
Journal article
Journal
Journal of scientific computing
Date of publication
2017-01-28
Volume
72
Number
2
First page
542
Last page
567
DOI
https://doi.org/10.1007/s10915-017-0370-6 Open in new window
Project funding
Development and Analysis of HDG Formulations for Heretogeneous problems in Computational Fluid Dynamics
Mètodes numèrics en ciències aplicades i enginyeria
Repository
http://hdl.handle.net/2117/116764 Open in new window
URL
http://link.springer.com/article/10.1007%2Fs10915-017-0370-6 Open in new window
Abstract
A novel strategy for the hybridizable discontinuous Galerkin (HDG) solution of heat bimaterial problems is proposed. It is based on eXtended finite element philosophy, together with a level set description of interfaces. Heaviside enrichment on cut elements and cut faces is used to represent discontinuities across the interface. A suitable weak form for the HDG local problem on cut elements is derived, accounting for the discontinuous enriched approximation, and weakly imposing continuity or jum...
Citation
Gurkan, C., Kronbichler, M., Fernandez, S. Extended hybridizable discontinuous galerkin with heaviside enrichment for heat bimaterial problems. "Journal of scientific computing", 28 Gener 2017, vol. 72, núm. 2, p. 542-567.
Keywords
Bimaterial, High-order, Hybridizable discontinuous Galerkin (HDG), Interface, Level-sets, X-FEM, X-HDG
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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