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.
EPFL-IACS report 02.2005
Record created on 2007-04-24, modified on 2016-08-08