Publication

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

Erik Burman
2007
Journal Articles

Abstract

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.

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

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