62 citations · 240 across the 20 of their papers we have counts for
20 papers
Numerical Study of Eigenvector Deflation to Accelerate the WaveHoltz Method
Daniel Appelo, William D. Henshaw, Zhichao Peng
We present a numerical study of eigenvector deflation as a means of accelerating the WaveHoltz method for solving the Helmholtz equation. For energy-conserving (Dirichlet or Neuman…
A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm
Daniel Appelö, Francis Appiah, Jeffrey W. Banks +3
We develop and analyze a new approach for simultaneously computing multiple solutions to the Helmholtz equation for different frequencies and different forcing functions. The new M…
EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation
Daniel Appelo, Jeffrey W. Banks, William D. Henshaw +2
An algorithm named EigenWave is described to compute eigenvalues and eigenvectors of elliptic boundary value problems. The algorithm, based on the recently developed WaveHoltz sche…
An Optimal O(N) Helmholtz Solver for Complex Geometry using WaveHoltz and Overset Grids
Daniel Appelo, Jeffrey W. Banks, William D. Henshaw +1
We develop efficient and high-order accurate solvers for the Helmholtz equation on complex geometry. The schemes are based on the WaveHoltz algorithm which computes solutions of th…
High Order Accurate Hermite Schemes on Curvilinear Grids with Compatibility Boundary Conditions
Allen Alvarez Loya, Daniel Appelö, William D. Henshaw
High order accurate Hermite methods for the wave equation on curvilinear domains are presented. Boundaries are treated using centered compatibility conditions rather than more stan…
High-order Accurate Implicit-Explicit Time-Stepping Schemes for Wave Equations on Overset Grids
Allison M. Carson, Jeffrey W. Banks, William D. Henshaw +1
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 problems discretized…
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs
Nour G. Al Hassanieh, Jeffrey W. Banks, William D. Henshaw +1
We describe a new approach to derive numerical approximations of boundary conditions for high-order accurate finite-difference approximations. The approach, called the Local Compat…
High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces
Qing Xia, Jeffrey W. Banks, William D. Henshaw +4
We describe a fourth-order accurate finite-difference time-domain scheme for solving dispersive Maxwell's equations with nonlinear multi-level carrier kinetics models. The scheme i…
Multigrid with Nonstandard Coarsening
Kamala Liu, William D. Henshaw
We consider the numerical solution of Poisson's equation on structured grids using geometric multigrid with nonstandard coarse grids and coarse level operators. We are motivated by…
A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow
Daniel A. Serino, Jeffrey W. Banks, William D. Henshaw +1
A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. D…
A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow: model problem analysis
Daniel A. Serino, Jeffrey W. Banks, William D. Henshaw +1
A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic-solids. T…
A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions
J. W. Banks, W. D. Henshaw, D. W. Schwendeman +1
This paper describes a novel partitioned algorithm for fluid-structure interaction (FSI) problems that couples the motion of rigid bodies and incompressible flow. This is the first…
Direct numerical simulation of particulate flows with an overset grid method
A. R. Koblitz, S. Lovett, N. Nikiforakis +1
We evaluate an efficient overset grid method for two-dimensional and three-dimensional particulate flows for small numbers of particles at finite Reynolds number. The rigid particl…
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis
J. W. Banks, W. D. Henshaw, D. W. Schwendeman +1
A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned}…
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation
J. W. Banks, W. D. Henshaw, D. W. Schwendeman +1
A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned}…
Computed Flow and Fluorescence Over the Ocular Surface
Longfei Li, R. J. Braun, W. D. Henshaw +1
Fluorescein is perhaps the most commonly used substance to visualize tear film thickness and dynamics; better understanding of this process aids understanding of dry eye syndrome w…
A stable partitioned FSI algorithm for incompressible flow and deforming beams
L. Li, W. D. Henshaw, J. W. Banks +2
An added-mass partitioned (AMP) algorithm is described for solving fluid-structure interaction (FSI) problems coupling incompressible flows with thin elastic structures undergoing…
A stable partitioned FSI algorithm for incompressible flow and structural shells
J. W. Banks, W. D. Henshaw, D. W. Schwendeman
A stable partitioned algorithm for fluid-structure interaction (FSI) problems that couple viscous incompressible flow with structural shells or beams is described. This added-mass…
A stable partitioned FSI algorithm for incompressible flow and elastic solids
J. W. Banks, W. D. Henshaw, D. W. Schwendeman
A stable partitioned algorithm for coupling incompressible flows with compressible elastic solids is described. This added-mass partitioned (AMP) scheme requires no sub-iterations,…
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…