Search Results - "Banks, Jeffrey W"

High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form by Angel, Jordan B., Banks, Jeffrey W., Henshaw, William D.

“…High-order accurate upwind approximations for the wave equation in second-order form on overlapping grids are developed. Although upwind schemes are well…”
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Robust approaches to handling complex geometries with Galerkin difference methods by Kozdon, Jeremy E., Wilcox, Lucas C., Hagstrom, Thomas, Banks, Jeffrey W.

“…The Galerkin difference (GD) basis is a set of continuous, piecewise polynomials defined using a finite-difference-like grid of degrees of freedom. The one…”
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Upwind schemes for the wave equation in second-order form by Banks, Jeffrey W., Henshaw, William D.

“…We develop new high-order accurate upwind schemes for the wave equation in second-order form. These schemes are developed directly for the equations in…”
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High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces by Xia, Qing, Banks, Jeffrey W., Henshaw, William D., Kildishev, Alexander V., Kovačič, Gregor, Prokopeva, Ludmila J., Schwendeman, Donald W.

“…We describe a fourth-order accurate finite-difference time-domain scheme for solving dispersive Maxwell's equations with nonlinear multi-level carrier kinetics…”
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A high-order accurate scheme for Maxwell's equations with a Generalized Dispersive Material (GDM) model and material interfaces by Banks, Jeffrey W., Buckner, Benjamin B., Henshaw, William D., Jenkinson, Michael J., Kildishev, Alexander V., Kovačič, Gregor, Prokopeva, Ludmila J., Schwendeman, Donald W.

“…•A novel scheme for multi-material Maxwell's equations with general linear dispersive effects.•High-order accurate treatment of interfaces between dispersive…”
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A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model by Angel, Jordan B., Banks, Jeffrey W., Henshaw, William D., Jenkinson, Michael J., Kildishev, Alexander V., Kovačič, Gregor, Prokopeva, Ludmila J., Schwendeman, Donald W.

“…A high-order accurate scheme for solving the time-domain Maxwell's equations with a generalized dispersive material model is described. The equations for the…”
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Deforming composite grids for solving fluid structure problems by Banks, Jeffrey W., Henshaw, William D., Schwendeman, Donald W.

“…We describe a mixed Eulerian–Lagrangian approach for solving fluid–structure interaction (FSI) problems. The technique, which uses deforming composite grids…”
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Numerical methods for solid mechanics on overlapping grids: Linear elasticity by Appelö, Daniel, Banks, Jeffrey W., Henshaw, William D., Schwendeman, Donald W.

“…This paper presents a new computational framework for the simulation of solid mechanics on general overlapping grids with adaptive mesh refinement (AMR). The…”
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Quantification of errors for operator-split advection–diffusion calculations by Connors, Jeffrey M., Banks, Jeffrey W., Hittinger, Jeffrey A., Woodward, Carol S.

“…Multiphysics simulations frequently are composed from highly-optimized solvers for physical subprocesses through the use of temporal operator splitting. The…”
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Computed tear film and osmolarity dynamics on an eye-shaped domain by Li, Longfei, Braun, Richard J, Driscoll, Tobin A, Henshaw, William D, Banks, Jeffrey W, King-Smith, P Ewen

“…The concentration of ions, or osmolarity, in the tear film is a key variable in understanding dry eye symptoms and disease. In this manuscript, we derive a…”
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A METHOD TO CALCULATE NUMERICAL ERRORS USING ADJOINT ERROR ESTIMATION FOR LINEAR ADVECTION by CONNORS, JEFFREY M., BANKS, JEFFREY W., HITTINGER, JEFFREY A., WOODWARD, CAROL S.

“…This paper is concerned with the computation of numerical discretization error for uncertainty quantification. An a posteriori error formula is described for a…”
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Efficient Upwind Schemes for Linear and Nonlinear Dispersive Maxwell's Equations on Overset Grids by Angel, Jordan B., Banks, Jeffrey W., Carson, Allison M., Henshaw, William D.

“…Overlapping grids are a powerful tool for representing the complex geometry inherent to many linear and nonlinear electromagnetic scattering problems. However,…”
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Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws by Yan, Ge, Kaur, Sharanjeet, Banks, Jeffrey W., Hicken, Jason E.

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High-order accurate implicit-explicit time-stepping schemes for wave equations on overset grids by Carson, Allison M., Banks, Jeffrey W., Henshaw, William D., Schwendeman, Donald W.

“…New implicit and implicit-explicit time-stepping methods for the wave equation in second-order form are described with application to two and three-dimensional…”
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A High-order Accurate Scheme for the Dispersive Maxwell's Equations and Material Interfaces on Overset Grids by Banks, Jeffrey W., Buckner, Benjamin B., Henshaw, William D., Kildishev, Alexander V., Kovacic, Gregor, Prokopeva, Ludmila J., Schwendeman, Donald W.

“…An efficient and high-order accurate scheme for solving the time-domain dispersive Maxwell's equations and material interfaces is described. Maxwell's…”
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Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods by Shadid, J.N., Pawlowski, R.P., Banks, J.W., Chacón, L., Lin, P.T., Tuminaro, R.S.

“…This paper explores the development of a scalable, nonlinear, fully-implicit stabilized unstructured finite element (FE) capability for 2D incompressible…”
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High-order Accurate Schemes for Maxwell-Bloch Equations with Material Interfaces by Xia, Qing, Banks, Jeffrey W., Henshaw, William D., Kildishev, Alexander V., Kovacic, Gregor, Prokopeva, Ludmila J., Schwendeman, Donald W.

“…Efficient and high-order accurate FDTD schemes are developed for nonlinear dispersive models in active multi-level media with material interfaces in 2D and 3D…”
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Stability of Finite Difference Discretizations of Multi-Physics Interface Conditions by Sjögreen, Björn, Banks, Jeffrey W.

“…We consider multi-physics computations where the Navier-Stokes equations of compressible fluid flow on some parts of the computational domain are coupled to…”
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High-order Accurate Implicit-Explicit Time-Stepping Schemes for Wave Equations on Overset Grids by Carson, Allison M, Banks, Jeffrey W, Henshaw, William D, Schwendeman, Donald W

“…New implicit and implicit-explicit time-stepping methods for the wave equation in second-order form are described with application to two and three-dimensional…”
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Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs by Hassanieh, Nour G. Al, Banks, Jeffrey W, Henshaw, William D, Schwendeman, Donald W

“…We describe a new approach to derive numerical approximations of boundary conditions for high-order accurate finite-difference approximations. The approach,…”
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