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C. Johnson and A. Szepessy, “Adaptive Finite Element Methods for Conservation Laws Based on a Posteriori Error Estimates,” Communications on Pure and Applied Mathematics, Vol. 48, No. 3, 1995, pp. 199-234. doi:10.1002/cpa.3160480302

has been cited by the following article:

• TITLE: A Posteriori Error Estimate for Streamline Diffusion Method in Soving a Hyperbolic Equation

  AUTHORS: Davood Rostamy, Fatemeh Zabihi

  KEYWORDS: Streamline Diffusion Method, Hyperbolic Problems, Wave Equations, Finite Element, A Posteriori Error Estimate

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 5, 2011

  ABSTRACT: In this article, we use streamline diffusion method for the linear second order hyperbolic initial-boundary value problem. More specifically, we prove a posteriori error estimates for this method for the linear wave equation. We observe that this error estimates make finite element method increasingly powerful rather than other methods.