On an improved unusual stabilized finite element method for the advective–reactive–diffusive equation Original Research Article

An improved unusual finite element method is studied herein for a second-order linear scalar differential equation including a zero-order term. The method consists in subtracting from the standard Galerkin method a mesh dependent term suggested by static condensation of the bubbles. Based on this idea, a new stabilized parameter is constructed, which improves accuracy of the solution. Several numerical tests attest the efficiency of the present method and an error analysis is performed.