Theoretical developments and new formulations have been reported, helping to expand the range of applications as well as the type of modelled materials in response to the requirements of contemporary industrial and professional environments. This ability to evolve is reflected in the history of the Conference and has ensured the success of the meetings as well as the establishment of a community of stakeholders. As design, analysis and manufacture become more integrated, the chances are that software users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily within the aforementioned integrated process. The maturity of BEM since 1978 has resulted in a substantial number of industrial applications of the method; this demonstrates its accuracy, robustness and ease of use. The range of applications still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. This well-established conference acts as a forum to discuss new ideas and critically compare results before the developed solutions and tools are released to end-users. The meeting welcomes all stakeholders interested in the methods and particularly the participation of young researchers. Their new contributions have been the principal reason why the conference has continued to evolve.