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20182022
most citedProvably Stable Full-Spectrum Dispersion Relation Preserving Schemes

3 citations · 6 across the 4 of their papers we have counts for

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math.NA20223 cited

The perfectly matched layer (PML) for hyperbolic wave propagation problems: A review

Kenneth Duru, Gunilla Kreiss

It is well-known that reliable and efficient domain truncation is crucial to accurate numerical solution of most wave propagation problems. The perfectly matched layer (PML) is a m…

math.NA20213 cited

Provably Stable Full-Spectrum Dispersion Relation Preserving Schemes

Christopher Williams, Kenneth Duru

The dispersion error is often the dominant error for computed solutions of wave propagation problems with high-frequency components. In this paper, we define and give explicit exam…

math.NA2021

A conservative and energy stable discontinuous spectral element method for the shifted wave equation in second order form

Kenneth Duru, Siyang Wang, Kenny Wiratama

In this paper, we develop a provably energy stable and conservative discontinuous spectral element method for the shifted wave equation in second order form. The proposed method co…

math.NA2020

Upwind summation by parts finite difference methods for large scale elastic wave simulations in 3D complex geometries

Kenneth Duru, Frederick Fung, Christopher Williams

High-order accurate summation-by-parts (SBP) finite difference (FD) methods constitute efficient numerical methods for simulating large-scale hyperbolic wave propagation problems.…

math.NA2019

A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form

Kenneth Duru, Leonhard Rannabauer, Alice-Agnes Gabriel +2

We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer (PML) for three and two space dimensional linear elastodynamics, in velocity-stress formulatio…

math.NA2019

A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex media using physics based numerical fluxes

Kenneth Duru, Leonhard Rannabauer, Alice-Agnes Gabriel +3

High order accurate and explicit time-stable solvers are well suited for hyperbolic wave propagation problems. As a result of the complexities of real geometries, internal interfac…