The paper gives a bibliographical review of finite element methods (FEMs) applied for the analysis of pressure vessel structures/ components and piping from the theoretical as well as practical points of view. This bibliography is an addendum to the Finite elements in the analysis of pressure vessels and piping - a bibliography (1976-1996) published [Int J Press Vess Piping 69 (1996) 279] and Finite elements in the analysis of pressure vessels and piping, an addendum (1996-1998) published [Int J Press Vess Piping 76 (1999) 461]. The new bibliography at the end of the paper contains approximately 670 references to papers and conference proceedings on the subject that were published in 1998-2001. These are classified in the following categories: linear and nonlinear, static and dynamic, stress and deflection analyses, stability problems, thermal problems, fracture mechanics problems, contact problems, fluid-structure interaction problems, manufacturing of pipes and tubes, welded pipes and pressure vessel components, development of special finite elements for pressure vessels and pipes, finite element software, and other topics. © 2002 Elsevier Science Ltd. All rights reserved.