INVESTIGADORES
LOMBARDI Ariel Luis
artículos
Título:
Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
Autor/es:
ARIEL L. LOMBARDI; PAOLA PIETRA
Revista:
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Editorial:
JOHN WILEY & SONS INC
Referencias:
Lugar: New York; Año: 2012 vol. 28 p. 1747 - 1777
ISSN:
0749-159X
Resumen:
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.