Rivière, Béatrice; Wheeler, Mary F. Discontinuous finite element methods for acoustic and elastic wave problems. (English) Zbl 1080.76039 Chen, Zhangxin (ed.) et al., Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3261-1/pbk). Contemp. Math. 329, 271-282 (2003). Summary: We formulate and analyze a family of discontinuous spatial discretizations for approximating the solution of elastic and acoustic wave problems. These schemes have the property of being able to treat highly varying material properties as well as satisfying the momentum equation locally. Here, a priori error estimates in energy and in \(L^2\) norm are derived.For the entire collection see [Zbl 1024.00037]. Cited in 54 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76Q05 Hydro- and aero-acoustics 74S05 Finite element methods applied to problems in solid mechanics 74J10 Bulk waves in solid mechanics 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs Keywords:momentum equation; a priori error estimates PDFBibTeX XMLCite \textit{B. Rivière} and \textit{M. F. Wheeler}, Contemp. Math. 329, 271--282 (2003; Zbl 1080.76039)