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20122025
most citedBlock-Structured Adaptive Mesh Refinement Algorithms for Vlasov Simulation

42 citations · 295 across the 24 of their papers we have counts for

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physics.plasm-ph2012★ 23 cited

Threshold for Electron Trapping Nonlinearity in Langmuir Waves

D. J. Strozzi, E. A. Williams, H. A. Rose +3

We assess when electron trapping nonlinearity is expected to be important in Langmuir waves. The basic criterion is that the inverse of the detrapping rate nu_d of electrons in the…

math.NA2012★ 32 cited

A stable FSI algorithm for light rigid bodies in compressible flow

J. W. Banks, W. D. Henshaw, B. Sjogreen

In this article we describe a stable partitioned algorithm that overcomes the added mass instability arising in fluid-structure interactions of light rigid bodies and inviscid comp…

math.NA2012

Richardson Extrapolation for Linearly Degenerate Discontinuities

J. W. Banks, T. D. Aslam

In this paper we investigate the use of Richardson extrapolation to estimate the convergence rates for numerical solutions to advection problems involving discontinuities. We use m…

math.NA2012

A Note on the Convergence of the Godunov Method for Impact Problems

J. W. Banks

This paper identifies a new pathology that can be found for numerical simulations of nonlinear conservation law systems. Many of the difficulties already identified in the literatu…

cs.MS2012★ 42 cited

Block-Structured Adaptive Mesh Refinement Algorithms for Vlasov Simulation

J. A. F. Hittinger, J. W. Banks

Direct discretization of continuum kinetic equations, like the Vlasov equation, are under-utilized because the distribution function generally exists in a high-dimensional (>3D) sp…