Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
by A. Lombardi and P.Pietra
ABSTRACT
New Discontinuous Galerkin schemes in mixed form
are introduced for symmetric elliptic problems of second order. They
exhibit reduced connectivity with respect to the standard ones. The
modifications in the choice of the approximation spaces and in the
stabilization term do not spoil the error estimates. These methods
are then used for designing new exponentially fitted schemes for
advection dominated equations. The presented numerical tests show
the good performances of the proposed schemes.
Download pdf file.
Back to publication list