This paper gives a bibliographical review of the finite-element methods applied to the non-destructive evaluation of materials. It is a continuation of the same paper published in Modelling Simul. Mater. Sci. 7 (1999) 107-145. The bibliography at the end of this paper contains references to papers, conference proceedings and theses/dissertations on the subject that were published between 1997 and 2003. The following topics are included: electrical, magnetic and electromagnetic methods, sonic methods, mechanical methods, optical methods, condition monitoring and other methods. A total of 858 references are listed in the appendix.