Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations

A continuous interior penalty hp-finite element method that penalizes the jump of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for first-order and advection-dominated transport operators. The analysis relies on three technical results that are of independent interest: an hp- inverse trace inequality, a local discontinuous to continuous hp-interpolation result, and hp-error estimates for continuous L2-orthogonal projections.


Published in:
Math. Comp, 76, 259, 119-1140
Year:
2007
Note:
EPFL-IACS report 02.2005
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 Record created 2007-04-24, last modified 2018-10-07

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