A local projection stabilization for convection-diffusion-reaction equations using biorthogonal systems
Keywords:advection-dominated problem, biorthogonal system, local projection stabilization
We consider a local projection stabilization based on biorthogonal systems for convection–diffusion–reaction differential equations with mixed boundary conditions. The approach based on biorthogonal systems is numerically more efficient than other existing approaches to obtain a uniform approximation for convection dominated problems. We prove optimal a priori error estimates for the proposed numerical technique. Numerical examples are presented to demonstrate the performance of the approach.
Articles for Printed Issues