167 citations · 598 across the 41 of their papers we have counts for
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math.NA2017★ 34 cited
Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion
Jesse Chan, John A Evans
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a disco…
math.NA2017★ 167 cited
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
Jesse Chan
High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic…
math.NA2017★ 20 cited
Weight-adjusted discontinuous Galerkin methods: matrix-valued weights and elastic wave propagation in heterogeneous media
Jesse Chan
Weight-adjusted inner products are easily invertible approximations to weighted inner products. These approximations can be paired with a discontinuous Galerkin (DG) discreti…