info:eu-repo/semantics/article
Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
Registro en:
Lombardi, Ariel Luis; Pietra, Paola; Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems; John Wiley & Sons; Numerical Methods For Partial Differential Equations; 28; 6; 1-2012; 1747-1777
0749-159X
CONICET Digital
CONICET
Autor
Lombardi, Ariel Luis
Pietra, Paola
Resumen
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. Fil: Lombardi, Ariel Luis. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Pietra, Paola. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia