Journal Papers
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Thompson, L.L.,
``A review of finite element methods for time-harmonic acoustics'', Journal
of the Acoustical Society of America, 119 (3), March 2006, pages 1315-1330.
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Ianculescu, C. and Thompson, L.L.
``Parallel iterative solution for the Helmholtz equation with exact
non-reflecting boundary conditions'', Computer Methods in Applied
Mechanics and Engineering, 195 (2006), 3709-3741.
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Thompson, L.L., Dantong He,
``Adaptive space-time finite element methods for the wave equation
on unbounded domains'',
Comput. Methods in Appl. Mech. Engrg, 194, (18-20), 2005. pp. 1947-2000.
- Thompson, L.L.,
``On optimal stabilized MITC4 plate bending elements for
accurate frequency response analysis'', Special issue in honor of K.J. Bathe;
Computers & Structures 81 (2003) 995-1008
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Thompson, L.L., Tong, Y.,
``Hybrid least squares finite element methods for Reissner-Mindlin plates'',
Accepted in-principle with revisions,
Comput. Methods in Appl. Mech. Engrg, 2003.
- Thompson, L.L., Thangavelu, S.R.,
``A Stabilized MITC element for accurate wave response
in Reissner-Mindlin plates'', Special Issue on Shells:
Theoretical, mathematical analysis and finite element implementation,
Comp. & Struct. 80, (9-10), 769-789, 2002.
- Thompson, L.L., Huan, R., He, D.,
``Accurate Radiation Boundary Conditions for the Two-Dimensional Wave
Equation on Unbounded Domains'',
Comput. Methods in Appl. Mech. Engrg,
Vol 191/3-5, pp 311-351, 2001.
- Thompson, L.L., Sankar, S.,
``Dispersion analysis of stabilized finite element methods for acoustic
fluid interaction with Reissner-Mindlin plates'',
Int. J. Numer. Meth. Engng,
50, (11), pp. 2521-2545.
2001.
- Huan, R., and Thompson, L.L.,
``Accurate Radiation Boundary Conditions for the Time-Dependent Wave
Equation on Unbounded Domains'',
Int. J. Numer. Meth. Engng,
47, pp. 1569 - 1603, 2000.
- Thompson, L.L., and Huan, R.,
``Computation of Far Field Solutions Based on Exact Nonreflecting
Boundary Conditions for the Time-Dependent Wave Equation'',
Comput. Methods in Appl. Mech. Engrg,
190, 2000, 1551-1577.
- Thompson, L.L., and Huan, R.,
``Implementation of Exact Non-Reflecting Boundary Conditions in the
Finite Element Method for the Time-Dependent Wave Equation'',
Comput. Methods in Appl. Mech. Engrg,
187, 2000, 137-159.
- Thompson, L.L., and Huan, R.,
``Computation of Transient Radiation in Semi-Infinite Regions Based on
Exact Nonreflecting Boundary Conditions and Mixed Time Integration'' ,
J. Acoust. Soc. Am.,
106 (6), pp. 3095-3108, December 1999.
- Thompson, L.L., and Huan, R.,
``Finite Element Formulation of Exact Non-Reflecting Boundary Conditions
for the Time-Dependent Wave Equation'',
Int. J. Numer. Meth. Engng,
45, pp. 1607-1630, 1999.
- Thompson, L.L.; Raju, S.; Law, E.H.,
``Design of a Winston Cup Chassis for Torsional Stiffness'',
1998 Transactions of the Society of Automotive Engineers --
Journal of Passenger Cars,
SAE Paper No. 983053, pp. 1-14, Sept. 1999.
- Thompson, L.L.; Soni, P.; Raju, S.; Law, E.H.,
``The Effects of Chassis Flexibility on Roll Stiffness of a Winston Cup
Race Car'',
1998 Transactions of the Society of Automotive Engineers --
Journal of Passenger Cars,
SAE Paper No. 983051, pp. 1-13, Sept. 1999.
- Thompson, L.L.; Herrick, G.P.; Law, E.H.,
``The Effects of Local Spring Perch Flexibility on
Suspension Geometry of a Winston Cup Race Car'',
1998 Transactions of the Society of Automotive Engineers --
Journal of Passenger Cars,
SAE Paper No. 983032, pp. 1-15, Sept. 1999.
- Bai, Xuesong; Lee, Andy W.C.; Thompson, Lonny L.;
Rosowsky, David V., ``Finite Element
Analysis of Moso Bamboo-Reinforced OSB Composite Beams'',
Wood and Fiber Science, 31 (4), 1999, pp. 403-415.
- Thompson, L.L., and Pinsky, P.M.,
``A Space-time finite element
method for structural acoustics in infinite domains, Part I:
Formulation, Stability, and Convergence'' ,
Comput. Methods in Appl. Mech. Engrg, 132, pp. 195-227, 1996.
- Thompson, L.L., and Pinsky, P.M.,
``A Space-time finite element
method for structural acoustics in infinite domains, Part II:
Exact time-dependent non-reflecting boundary conditions'' ,
Comput. Methods in Appl. Mech. Engrg, Vol 132, pp. 229-258, 1996.
- Thompson, L.L., and Pinsky, P.M.,
``A Space-time finite element
method for the exterior structural acoustics problem: Time-dependent
radiation boundary conditions in two spatial dimensions'' ,
Int. J. Numer. Meth. Engng, 39, pp. 1635-1657, 1996.
- Thompson, L.L., and Pinsky, P.M.,
``A space-time finite element
method for the exterior acoustics problem'' ,
J. Acoust. Soc. Am., 99 (6), pp. 3297-3311, 1996.
- Harari, I., Grosh, K., Hughes, T.J.R., Malhotra, M., Pinsky, P.M., Stewart, J.R., Thompson, L.L.,
``Recent Developments in
Finite Element Methods for Structural Acoustics'' ,
Archives of Computational Methods in Engineering, 3,
pp. 132-311, 1996.
- Thompson, L.L., and Pinsky, P.M.,
``A Galerkin Least Squares
finite element method for the two-dimensional Helmholtz equation'',
Int. J. Numer. Meth. Engng, 38, pp. 371-397, 1995.
- Thompson, L.L., and Pinsky, P.M.,
``Complex wavenumber Fourier
analysis of the p-version finite element method'',
J. Computational Mechanics, 13, (4), pp. 255-275, 1994.
- Pinsky, P.M., Thompson, L.L., and Abboud, N.,
``Local high-order
radiation boundary conditions for the two-dimensional time-dependent
structural acoustics problem'',
J. Acoust. Soc. Am.,
91 (3), pp. 1320-1335, 1992.
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