The papers listed below describe work in computational mechanics. For the most part,
these focus on the development and/or analysis of novel computational methods and problems.
|Relevant papers on computational mechanics
“Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity,”
Uri Albocher, Assad A. Oberai, Paul E. Barbone, Isaac Harari. submitted to Computer Methods in Appl. Mech.
and Eng, in review, submitted Oct 2008.
“A review of the mathematical and computational foundations of biomechanical imaging,” Paul
E. Barbone and Assad A. A. Oberai. invited chapter in Computational Methods in Biomechanics,
Ed. Suvranu De, Springer, (in review) 2008.
- A stabilized B-splines FEM formulation for the solution of an inverse elasticity problem arising in
medical imaging,” Carlos E. Rivas, Paul E. Barbone, and Assad A. Oberai. Proceedings of IMECE
ASME International Mechanical Engineering Congress and Exposition October 31- November 6, 2008,
Boston, MA, IMECE2008-66700, in press.
- “Adjoint-weighted variational formulation for the direct solution of plane stress inverse elasticity
problems,” Paul E. Barbone, Carlos E. Rivas, Isaac Harari, Uri Albocher, Assad A. Oberai, Sevan
Goenzen, to appear in Journal of Physics: Conference Series, 2008.
- “Divergence of finite element formulations for inverse problems treated as optimization problems,”
Carlos Rivas, Paul E. Barbone, Assad A. Oberai, to appear in Journal of Physics: Conference
- “Error bounds for eigenproblems solved by Krylov Subspace Methods,” Christophe Lecomte, Paul
E. Barbone, and J. Gregory McDaniel. SIAM J. Mat. Anal. Appl., (SIMAX), submitted September
- “Two error bounds for dynamic condensation methods,” by Christophe Lecomte, J. Gregory McDaniel
and Paul E. Barbone, AIAA Journal, 46(1), pp. 166–176, Jan. 2008.
- “Adjoint weighted variational formulation for direct computational solution of an inverse heat
conduction problem,” Paul E. Barbone, Assad A. Oberai, and Isaac Harari, Inverse Problems, 23,
pp. 2325–2342, 2007.
- “The adjoint weighted equation for steady advection in a compressible fluid,” A. Oberai,
P. E. Barbone, and I. Harari, Int. J. Num. Meth. in Fluids, 54:683–693, 2007.
D. Givoli, P.E. Barbone and I. Patlashenko, “Recent Advances in Modal Reduction of Vibrating
substructures,” Chapter 20 (pp. 417-438) in Innovation in Computational Structures Technology, Ed.
B.H.V. Topping, G. Montero and R. Montenegro, Saxe-Coburg Publications, Stirlingshire, UK,
- “Efficient high-order frequency interpolation of structural dynamic response,” Christophe Lecomte,
J. Gregory McDaniel, Paul E. Barbone, and Allan D. Pierce, AIAA Journal 41 (11): 2208-2215 Nov
- “Optimal Modal Reduction of Vibrating Substructures,” Paul E. Barbone, Dan Givoli, Igor
Patlashenko. Int. J. Numer. Meth. Engng., May 2003; 57:341-369.
- “Time-Stepping Schemes for Systems of Volterra Integro-Differential Equations,” Igor Patlashenko,
Dan Givoli, and Paul Barbone, Computer Methods in Applied Mechanics and Engineering,
190:5691–5718, August 2001.
- “Nearly H1-optimal Finite Element Methods,” Paul E. Barbone and Isaac Harari, Computer
Methods in Applied Mechanics and Engineering, 190:5679–5690, August 2001.
- “Three-dimensional Infinite Elements Based on a Trefftz Formulation,” Isaac Harari, Parama Barai and
Paul E. Barbone, Journal of Computational Acoustics, Vol. 9, No. 2, pp. 381–394 June
- “Numerical and Spectral Investigations of Trefftz Infinite Elements,” Isaac Harari, Parama Barai and
Paul E. Barbone, Int. J. Numer. Meth. Engng., Vol. 46, pp. 553–577, 1999.
- “Scattering from submerged objects by a hybrid asymptotic-boundary integral equation method,” Paul
E. Barbone and Ofer Michael, Wave Motion, Vol 29, pp. 137–156, 1999.
- “Scattering by a Hybrid Asymptotic/Finite Element Method,” Paul E. Barbone, Joshua
M. Montgomery, Ofer E. Michael and Isaac Harari, Computer Methods in Applied Mechanics
and Engineering, Vol. 164, Nos. 1-2, pp. 141–156, October 1998.
- I. Harari, P.E. Barbone, P. Barai, M. Slavutin, and S. Shmulman, “Trefftz infinite elements for
acoustic computation in unbounded domains,” Developments in Computational Mechanics
with High Performance Computing (ed. B.H.V. Topping). Civil-Comp Ltd., Edinburgh,
- “Higher-order boundary infinite elements,” Isaac Harari, Rami Shalom and Paul E. Barbone,
Computer Methods in Applied Mechanics and Engineering, Vol. 164, Nos. 1-2, pp. 107–119,
- “Galerkin Formulation and Singularity Subtraction for Spectral Solutions of Boundary Integral
Equations,” Ofer Michael & Paul E. Barbone, International Journal for Numerical Methods in
Engineering, Vol. 41, pp. 95–111, 1998.
- “Boundary Infinite Elements for the Helmholtz Equation in Exterior Domains,” Isaac Harari, Paul
E. Barbone, Michael Slavutin and Rami Shalom, International Journal for Numerical Methods in
Engineering, Vol. 41, pp. 1105–1131, 1998.
- Isaac Harari, Rami Shalom, Michael Slavutin, and Paul E. Barbone, “Boundary Infinite Elements for
Acoustics, Computational Mechanics, New Trends and Applications, CIMNE, Barcelona, 1998.
E. Oņate and S.R. Idelsohn, Eds.
- “Finite Element Formulations for Exterior Problems: Application to Hybrid Methods, Non-reflecting
Boundary Conditions, and Infinite Elements,” Isaac Harari, Paul E. Barbone and Joshua
M. Montgomery, International Journal for Numerical Methods in Engineering, Vol. 40, 1997,
- “Dispersion Free Finite Element Methods for Helmholtz Equation,” Paul E. Barbone and Isaac Harari,
Proc. 16th International Congress on Acoustics and 135th Meeting Acoustical Society of
America, Vol. 1, pp. 199-200, Acoustical Society of America, 1998. P.K. Kuhl and L.A. Crum,
- “Numerical and Spectral Investigations of Novel Infinite Elements,” Parama Barai, Isaac Harari, and
Paul E. Barbone, 27th Israel Conference on Mechanical Engineering, 19-20 May
- “FEM, BEM, Spectral FEM or Spectral BEM?” Ofer Michael and Paul E. Barbone, BU
Dept. Aerospace & Mechanical Eng. Technical Report No. AM-97-028, October 1997.
- “Nearly H1 Optimal Finite Element Method for the Helmholtz Equation,” Paul E. Barbone and Isaac
Harari, BU Dept. Aerospace & Mechanical Eng. Technical Report No. AM-97-011, May 7,