Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamicsGiesselmann, J. and Pryer, T. (2016) Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics. BIT Numerical Mathematics, 56 (1). pp. 99-127. ISSN 1572-9125 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/s10543-015-0560-2 Abstract/SummaryWe give an a priori analysis of a semi-discrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics which involves an energy density depending not only on the strain but also the strain gradient. A key component in the analysis is the reduced relative entropy stability framework developed in Giesselmann (SIAM J Math Anal 46(5):3518–3539, 2014). The estimate we derive is optimal in the L∞(0,T;dG) norm for the strain and the L2(0,T;dG) norm for the velocity, where dG is an appropriate mesh dependent H1-like space.
Altmetric Deposit Details University Staff: Request a correction | Centaur Editors: Update this record |
Lists
Lists
