588 citations · 1.6k across the 34 of their papers we have counts for
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On the convergence of local expansions of layer potentials
Charles L. Epstein, Leslie Greengard, Andreas Klöckner
In a recently developed quadrature method (quadrature by expansion or QBX), it was demonstrated that weakly singular or singular layer potentials can be evaluated rapidly and accur…
High-Order Discontinuous Galerkin Methods by GPU Metaprogramming
Andreas Klöckner, Timothy Warburton, Jan S. Hesthaven
Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They a…
Quadrature by Expansion: A New Method for the Evaluation of Layer Potentials
Andreas Klöckner, Alexander Barnett, Leslie Greengard +1
Integral equation methods for the solution of partial differential equations, when coupled with suitable fast algorithms, yield geometrically flexible, asymptotically optimal and w…