Baroli, DavideQuarteroni, AlfioRuiz Baier, Ricardo2012-02-102012-02-102012-02-10201310.1007/s10444-012-9286-8https://infoscience.epfl.ch/handle/20.500.14299/77647WOS:000322451400010In this paper we present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied. We prove that the proposed discrete formulation for the linearized problem is well-posed, asymptotically consistent and that it converges to the corresponding weak solution. The derived convergence rates are optimal and further confirmed by a set of numerical examples in two and three spatial dimensions.Nonlinear elasticityDiscontinuous Galerkin formulationIncompressible materialsEdge-based stabilizationtext::journal::journal article::research article