This paper gives a bibliographical review of the finite-element methods applied to the analysis and simulation of polymers. The bibliography at the end of the paper contains references to papers, conference proceedings and theses/dissertations on the subject that were published between 1976 - 1996. The following topics are included: polymer flow and mixing simulation; polymer processing; thermal analysis of polymers; fracture mechanics of polymers; modelling polymer behaviours and their mechanical properties; practical polymer applications in engineering; other topics.