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06/28/2023
Summation-by-parts operators for general function spaces: The second derivative
Many applications rely on solving time-dependent partial differential eq...
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06/08/2023
Stabilizing Discontinuous Galerkin Methods Using Dafermos' Entropy Rate Criterion: II – Systems of Conservation Laws and Entropy Inequality Predictors
A novel approach for the stabilization of the Discontinuous Galerkin met...
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02/17/2023
Entropy-aware non-oscillatory high-order finite volume methods using the Dafermos entropy rate criterion
Finite volume methods are popular tools for solving time-dependent parti...
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01/30/2023
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction
Summation-by-parts (SBP) operators allow us to systematically develop en...
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11/02/2022
Entropy conservative high-order fluxes in the presence of boundaries
In this paper, we propose a novel development in the context of entropy ...
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08/01/2022
Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion
A novel approach for the stabilization of the discontinuous Galerkin met...
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03/01/2022
Comparison to control oscillations in high-order Finite Volume schemes via physical constraint limiters, neural networks and polynomial annihilation
The construction of high-order structure-preserving numerical schemes to...
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02/28/2022