Hermite Methods for the Scalar Wave Equation

Journal Article · 27 November 2018 · SIAM Journal on Scientific Computing

DOI: https://doi.org/10.1137/18M1171072 · OSTI ID:1497298

Appelö, Daniel  ^[1]; Hagstrom, Thomas ^[2]; Vargas, Arturo ^[3]

---

1. Univ. of Colorado, Boulder, CO (United States). Dept. of Applied Mathematics
2. Southern Methodist Univ., Dallas, TX (United States). Dept. of Mathematics
3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Arbitrary order dissipative and conservative Hermite methods for the scalar wave equation are presented here. Both methods use $(m+1)^d$ degrees of freedom per node for the displacement in $$d$$ dimensions; the dissipative and conservative methods achieve orders of accuracy $(2m-1)$ and $2m$, respectively. Stability and error analyses as well as implementation strategies for accelerators are also given.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Southern Methodist Univ., Dallas, TX (United States); Univ. of Colorado, Boulder, CO (United States)
• Sponsoring Organization: National Science Foundation (NSF) (United States); USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: AC52-07NA27344
• OSTI ID: 1497298
• Report Number(s): LLNL-JRNL--746059; 930652
• Journal Information: SIAM Journal on Scientific Computing, Journal Name: SIAM Journal on Scientific Computing Journal Issue: 6 Vol. 40; ISSN 1064-8275
• Publisher: SIAMCopyright Statement
• Country of Publication: United States
• Language: English