2 citations · 3 across the 5 of their papers we have counts for
Showing math.NAShow all
2 papers · 1 filter
math.NA2019
Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids
Ossian O'Reilly, N. Anders Petersson
We develop a numerical method for solving the acoustic wave equation in covariant form on staggered curvilinear grids in an energy conserving manner. The use of a covariant basis d…
math.NA2018
Fourth order finite difference methods for the wave equation with mesh refinement interfaces
Siyang Wang, N. Anders Petersson
We analyze two types of summation-by-parts finite difference operators for approximating the second derivative with variable coefficient. The first type uses ghost points, while th…