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10/24/2022
A finite difference - discontinuous Galerkin method for the wave equation in second order form
We develop a hybrid spatial discretization for the wave equation in seco...
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06/17/2022
On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers
This paper presents a stable finite element approximation for the acoust...
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01/18/2022
High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface
We develop a family of cut finite element methods of different orders ba...
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01/11/2022
The perfectly matched layer (PML) for hyperbolic wave propagation problems: A review
It is well-known that reliable and efficient domain truncation is crucia...
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04/12/2021
High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension
In this paper, we develop a family of high order cut discontinuous Galer...
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03/02/2021
An energy-based summation-by-parts finite difference method for the wave equation in second order form
We develop an energy-based finite difference method for the wave equatio...
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10/15/2019