88 citations · 470 across the 21 of their papers we have counts for
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math.NA2017★ 88 cited
An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions
Matthew J. Zahr, Per-Olof Persson
This work introduces a novel discontinuity-tracking framework for resolving discontinuous solutions of conservation laws with high-order numerical discretizations that support inte…
math.NA2017★ 55 cited
Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
Will Pazner, Per-Olof Persson
In this paper, we develop a new tensor-product based preconditioner for discontinuous Galerkin methods with polynomial degrees higher than those typically employed. This preconditi…
math.NA2017★ 65 cited
Stage-parallel fully implicit Runge-Kutta solvers for discontinuous Galerkin fluid simulations
Will Pazner, Per-Olof Persson
In this paper, we develop new techniques for solving the large, coupled linear systems that arise from fully implicit Runge-Kutta methods. This method makes use of the iterative pr…