The finite element method is the established simulation tool for the numerical solution of partial differential equations in many engineering problems with many mathematical developments such as mixed finite element methods (FEMs) and other nonstandard FEMs like least-squares, nonconforming, and discontinuous Galerkin (dG) FEMs. Various aspects on this plus related topics ranging from order-reduction methods to isogeometric analysis has been discussed amongst the pariticpants form mathematics and engineering for a large range of applications.
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Olivier Allix, Carsten Carstensen, Jörg Schröder, Peter Wriggers, Advanced Computational Engineering. Oberwolfach Rep. 9 (2012), no. 1, pp. 457–553DOI 10.4171/OWR/2012/09