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Advances in techniques that reduce or eliminate the type of meshes
associated with finite elements or finite differences are reported
in the papers that form this volume. 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. The included papers
originate from the 45th conference on Boundary Elements and other
Mesh Reduction Methods (BEM/MRM) and describe theoretical
developments and new formulations, 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.
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