h p -finite element trace inequalities for the pyramid

Chan, Jesse; Warburton, T.

doi:10.1016/j.camwa.2015.01.011

Title: $h p$ -finite element trace inequalities for the pyramid

Journal Article · Sun Mar 01 00:00:00 EST 2015 · Computers and Mathematics with Applications (Oxford)

DOI:https://doi.org/10.1016/j.camwa.2015.01.011· OSTI ID:1556220

; Warburton, T.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: 1F-32301; AC02-06CH11357)

OSTI ID:: 1556220

Alternate ID(s):: OSTI ID: 1360825

Journal Information:: Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Vol. 69 Journal Issue: 6; ISSN 0898-1221

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 4 works

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References (9)

Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations Burman, Erik; Ern, Alexandre Mathematics of Computation, Vol. 76, Issue 259 https://doi.org/10.1090/S0025-5718-07-01951-5	journal	January 2007
Spectral/hp methods for elliptic problems on hybrid grids Sherwin, Spencer J.; Warburton, Timothy C. E.; Karniadakis, George Em Contemporary Mathematics https://doi.org/10.1090/conm/218/03010	book	January 1998
Higher-order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements Bergot, Morgane; Cohen, Gary; Duruflé, Marc Journal of Scientific Computing, Vol. 42, Issue 3 https://doi.org/10.1007/s10915-009-9334-9	journal	November 2009
Shape functions and integration formulas for three-dimensional finite element analysis Bedrosian, G. International Journal for Numerical Methods in Engineering, Vol. 35, Issue 1 https://doi.org/10.1002/nme.1620350106	journal	July 1992
Gauss–Radau formulae for Jacobi and Laguerre weight functions Gautschi, Walter Mathematics and Computers in Simulation, Vol. 54, Issue 4-5 https://doi.org/10.1016/S0378-4754(00)00179-8	journal	December 2000
An explicit expression for the penalty parameter of the interior penalty method Shahbazi, Khosro Journal of Computational Physics, Vol. 205, Issue 2 https://doi.org/10.1016/j.jcp.2004.11.017	journal	May 2005
On the constants in hp-finite element trace inverse inequalities Warburton, T.; Hesthaven, J. S. Computer Methods in Applied Mechanics and Engineering, Vol. 192, Issue 25 https://doi.org/10.1016/S0045-7825(03)00294-9	journal	June 2003
Spectral methods on triangles and other domains Dubiner, Moshe Journal of Scientific Computing, Vol. 6, Issue 4 https://doi.org/10.1007/BF01060030	journal	December 1991
Numerical integration for high order pyramidal finite elements Nigam, Nilima; Phillips, Joel ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 46, Issue 2 https://doi.org/10.1051/m2an/2011042	journal	October 2011

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Title: h p -finite element trace inequalities for the pyramid

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Title: $h p$ -finite element trace inequalities for the pyramid