122 citations · 152 across the 15 of their papers we have counts for
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Very high-order symmetric positive-interior quadrature rules on triangles and tetrahedra
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
We present novel fully-symmetric quadrature rules with positive weights and strictly interior nodes of degrees up to 84 on triangles and 40 on tetrahedra. Initial guesses for solvi…
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
Jason Hicken, Ge Yan, Sharanjeet Kaur
High-order difference operators with the summation-by-parts (SBP) property can be used to build stable discretizations of hyperbolic conservation laws; however, most high-order SBP…
Tensor-Product Split-Simplex Summation-By-Parts Operators
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
We present an approach to construct efficient sparse summation-by-parts (SBP) operators on triangles and tetrahedra with a tensor-product structure. The operators are constructed b…