An analysis of some classes of Petrov-Galerkin and optimal test function methods

E. T. Bouloutas, Michael Anthony Celia

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Petrov-Galerkin methods and the newly developed optimal test function methods, have proven to be very effective for the simulation of advection dominated flows. These methods retain the higher order accuracy in regions of smooth changes and have been shown to be quasi-optimal, even for cases of singularly perturbed problems. This paper systematically develops and analyzes some of these schemes, and proves that, for model one dimensional steady state and transient advection-diffusion problems, these diverse formulations produce similar or in some cases identical results. The methods considered are: Allen and Southwell difference scheme, quadratic Petrov-Galerkin, streamline upwind Petrov-Galerkin, exponential Petrov-Galerkin and optimal test function methods. -from Authors

Original languageEnglish (US)
Pages (from-to)15-20
Number of pages6
JournalUnknown Journal
StatePublished - Jan 1 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Environmental Science(all)
  • Earth and Planetary Sciences(all)


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