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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].

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
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