Publications

• Google Scholar Citations.

  • My Erdos number is at most 3, my h-index 20, and my i10-index 31.

Journals

• F. Legoll, P. L. Rothé, C. Le Bris, and U. Hetmaniuk, "An MsFEM approach enriched using Legendre polynomials", Multiscale Modeling & Simulation, Vol. 20, No. 2, pp. 798-834 (2022).

• Y. Zhao, Z. Wan, U. Hetmaniuk, and M. P. Anantram, "Negative differential resistance in graphene boron nitride heterostructure controlled by twist and phonon-scattering", IEEE Electron Device Letters, Vol. 37, No. 9, pp. 1242-1245 (2016).

• Y. Zhao, U. Hetmaniuk, S. Patil, J. Qi, and M. P. Anantram, "Nested dissection solver for transport in 3D nano-electronic devices", J. Comput. Electron., Vol. 15, pp. 708-720 (2016).

• Y. Zhao, Z. Wan, X. Xu, S. Patil, U. Hetmaniuk, and M. P. Anantram, "Negative differential resistant in boron nitride graphene heterostructures: physical mechanisms and size scaling analysis", Scientific Reports, Vol. 5, Article 10712 (2015).

• A. Heinlein, U. Hetmaniuk, A. Klawonn, and O. Rheinbach, "The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results", J. Comput. Appl. Math., Vol. 289, pp. 116-133 (2015).

• Y. Wu and U. Hetmaniuk, "Adaptive training of local reduced bases for unsteady incompressible Navier-Stokes flows", Int. J. Numer. Meth. Engng., Vol. 103, pp. 183-204 (2015).

• D. Amsallem and U. Hetmaniuk, "A posteriori error estimators for linear reduced order models using Krylov-based integrators", Int. J. Numer. Meth. Engng., Vol. 102, pp. 1238-1261 (2015).

• U. Hetmaniuk, D. Ji, Y. Zhao, and M. P. Anantram, "A reduced-order method for coherent transport using Green functions", IEEE Trans. Electron Devices, Vol. 62, pp. 736-742 (2015).

• U. Hetmaniuk and A. Klawonn, "Error estimates for a two-dimensional special finite element method based on component mode synthesis", Electron. Trans. Numer. Anal., Vol. 41, pp. 109-132 (2014).

• D. Amsallem and U. Hetmaniuk, "Error estimates for Galerkin reduced-order models of the semi-discrete wave equation", Math. Model. Numer. Anal., Vol. 48 (1), pp. 135-163 (2014).

• U. Hetmaniuk, Y. Zhao, and M. P. Anantram, "A nested dissection approach to modeling transport in nanodevices: algorithms and applications", Int. J. Numer. Meth. Engng., Vol. 95 (7), pp. 587-607 (2013).

• U. Hetmaniuk, R. Tezaur, and C. Farhat, "An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems", Int. J. Numer. Meth. Engng., Vol. 93, pp. 1109-1124 (2013).

• U. Hetmaniuk, R. Tezaur, and C. Farhat, "Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems", Int. J. Numer. Meth. Engng., Vol. 90, pp. 1636-1662 (2012).

• U. Hetmaniuk and H. Liu, "On acoustic cloaking devices by transformation media and their simulation", SIAM J. on Appl. Math., Vol. 70, pp. 2996-3021 (2011).

• U. Hetmaniuk and P. Knupp, “A mesh optimization algorithm to decrease the maximum interpolation error of linear triangular finite elements”, Eng. Comput., Vol. 27, pp. 3-15 (2011).

• U. Hetmaniuk and R. Lehoucq, “Special finite element methods based on component mode synthesis techniques”, Math. Model. Numer. Anal., Vol. 44, pp. 401-420 (2010).

• P. Avery, C. Farhat, and U. Hetmaniuk, “A Padé-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver”, Int. J. Numer. Meth. Engng., Vol. 79 (2), pp. 239-252 (2009).

• C. Baker, U. Hetmaniuk, R. Lehoucq, and H. Thornquist, “Anasazi software for the numerical solution of large-scale eigenvalue problems”, ACM T. Math. Software, Vol. 36 (3), Article No. 13 (2009).

• U. Hetmaniuk and P. Knupp, “Local anisotropic interpolation error estimates based on directional derivatives along edges”, SIAM J. Numer. Anal., Vol. 47 (1), pp. 575-595 (2008).

• M. Medvinsky, E. Turkel, and U. Hetmaniuk, "Local absorbing boundary conditions for elliptical shaped boundaries", J. Comput. Phys., Vol. 227, pp. 8254-8267 (2008).

• U. Hetmaniuk, “Stability estimates for a class of Helmholtz problems”, Comm. Math. Sci., Vol. 5, pp. 665-678 (2007).

• U. Hetmaniuk, “A Rayleigh quotient minimization algorithm based on algebraic multigrid”, Numer. Linear Algebra Appl., Vol. 14, pp. 563-580 (2007).

• T. F. Walsh, G. M. Reese, and U. L. Hetmaniuk, "Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures", Comput. Methods Appl. Mech. Engrg., Vol. 196, pp. 3614-3623 (2007).

• U. Hetmaniuk and R. Lehoucq, "Uniform accuracy of eigenpairs from a shift-invert Lanczos method", SIAM J. Matrix Anal. Appl., Vol. 28, pp. 927-948 (2006).

• U. Hetmaniuk and R. Lehoucq, "Basis selection in LOBPCG", J. Comput. Phys., Vol. 218, pp. 324-332 (2006).

• P. Arbenz, M. Becka, R. Geus, U. Hetmaniuk, and T. Mengotti, "On a parallel multilevel preconditioned Maxwell eigensolver", Parallel Computing, Vol. 32, pp. 157-165 (2006).

• P. Arbenz, U. Hetmaniuk, R. Lehoucq, and R. Tuminaro, "A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods", Int. J. Numer. Meth. Engng., Vol. 64, pp. 204-236 (2005).

• E. Turkel, C. Farhat, and U. Hetmaniuk, "Improved accuracy for the Helmholtz equation in unbounded domains", Int. J. Numer. Meth. Engng., Vol. 59, pp. 1963-1988 (2004).

• C. Farhat, I. Harari, and U. Hetmaniuk, "The discontinuous enrichment method for multiscale analysis", Comput. Methods Appl. Mech. Engrg., Vol. 192, pp. 3195-3210 (2003).

• I. Harari, C. Farhat, and U. Hetmaniuk, "Multiple-stencil dispersion analysis of the Lagrange multipliers in a discontinuous Galerkin method for the Helmholtz equation", Journal of Computational Acoustics, Vol. 11, pp. 239-254 (2003).

• U. Hetmaniuk and C. Farhat, "A finite element-based fictitious domain decomposition method for the fast solution of partially axisymmetric sound-hard acoustic scattering problems", Finite Elements in Analysis and Design, Vol. 39, pp. 707-725 (2003).

• C. Farhat, I. Harari, and U. Hetmaniuk, "A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime", Comput. Methods Appl. Mech. Engrg., Vol. 192, pp. 1389-1419 (2003).

• U. Hetmaniuk and C. Farhat, "A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems - Part II : Neumann boundary conditions", Int. J. Numer. Meth. Engng., Vol. 58, pp. 63-81 (2003).

• C. Farhat and U. Hetmaniuk, "A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems - Part I : Dirichlet boundary conditions", Int. J. Numer. Meth. Engng., Vol. 54, pp. 1309-1332 (2002).

• M. Lesoinne, M. Sarkis, U. Hetmaniuk, and C. Farhat, "A linearized method for the frequency analysis of fluid/structure interaction problems in all flow regimes", Comput. Meths. Appl. Mech. Engnrg., Vol. 190, pp. 3121-3146 (2001).

Refereed Proceedings

• D. Littlewood, R. Jones, N. Morales, J. Plews, U. Hetmaniuk, and J. Lifflander, Hierarchical parallelism for transient solid mechanics simulations. Proceedings of the 14th WCCM-ECCOMAS Congress, Paris, 2020.

• C. Farhat, R. Tezaur, and U. Hetmaniuk, Recent developments in high-performance computational vibro-acoustics in the medium frequency regime. Proceedings of the Internoise 2012/ASME NCAD Meeting, New York City, NY, USA, August 19-22, 2012.

• M. Johnson and U. Hetmaniuk, Spectrum and dispersion analyses for a special finite element discretization based on component mode synthesis, 10th International Conference on Mathematical and Numerical Aspects of Waves, Vancouver, BC, Canada, 2011.

• C. Farhat, U. Hetmaniuk, and R. Tezaur, A simple adaptive scheme for a class of interpolatory model reduction methods for frequency response problems, 10th International Conference on Mathematical and Numerical Aspects of Waves, Vancouver, BC, Canada, 2011.

• U. Hetmaniuk and P. Knupp, A Mesh Optimization Algorithm to Decrease the Maximum Error in Finite Element Computations. Proceedings of 17th International Meshing Roundtable, ed. by R. Garimella, Springer, pp. 533-550 (2008).

• U. Hetmaniuk and R. Lehoucq, Multilevel Methods for Eigenspace Computations in Structural Dynamics, In Domain Decomposition Methods in Science and Engineering, LNCSE, Vol. 55, Springer Verlag, pp. 103-114 (2007).

• P. Arbenz, M. Becka, R. Geus, U. Hetmaniuk, and T. Mengotti, Parallel Maxwell Eigensolver using Trilinos Software Framework. In Parallel Numerics '05, M. Vajtersic, R. Trobec, P. Zinterhof, and A. Uhl (eds.), pp. 25-34 (2005).

• P. Arbenz, M. Becka, R. Geus, and U. Hetmaniuk, Towards a Parallel Multilevel Preconditioned Maxwell Eigensolver. In PARA'04: Workshop on the State-of-the-Art in Scientific Computing, J. Dongarra, K. Madsen, and J. Wasniewski (eds.), Lecture Notes in Computer Science 3732, Springer, pp. 831-838 (2005).

• U. Hetmaniuk and C. Farhat, A Blended Fictitious/Real Domain Decomposition Method for Partially Axisymmetric Exterior Helmholtz Problems with Dirichlet Boundary Conditions, Recent Developments in Domain Decomposition Methods, ed. by L. Pavarino and A. Toselli, LNCSE, Vol. 23, Springer Verlag, pp. 1-26 (2002).

• C. Farhat and U. Hetmaniuk, A Helmholtz Solver for Partially Axisymmetric Sound-Soft Scatterers, 2nd European Conference on Computational Mechanics, Krakow, Poland, June 26-29 2001.

• N. Gmati, C. Farhat, and U. Hetmaniuk, An Efficient Substructuring Method for Analyzing Acoustics in a Concentric Hole-Cavity Resonator, Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Santiago de Compostela, Spain, July 10-14 2000, pp. 817-821.

• U. Hetmaniuk and C. Farhat, A Fictitious Domain Decomposition Method for High-Frequency Acoustic Scattering Problems, 12th Domain Decomposition Meeting, Chiba, Japan, October 25-29 1999, pp. 365-372.

• C. Farhat, U. Hetmaniuk, and D. Rixen, An Efficient Substructuring Method for Analyzing Structures with Major Axisymmetric Components, AIAA Paper 99-1283, AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, 40th, St Louis, MO, April 12-15 1999, pp. 832-837.

Technical Reports

• F. Legoll, P. L. Rothé, C. Le Bris, and U. Hetmaniuk, An MSFEM approach enriched using Legendre polynomials, arXiv:2109.00990, September 2021.

• D. Segalman, C. Dohrmann, R. Lehoucq, and U. Hetmaniuk, Final report LDRD Project 105816: Model reduction of large dynamic systems with localized nonlinearities, Sandia Report SAND2009-096862, October 2009.

• U. Hetmaniuk and P. Knupp, Mesh optimization algorithms to decrease the linear interpolation error, Sandia Report SAND2008-5367, August 2008.

• T. Walsh, G. Reese, and U. Hetmaniuk, Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures, Sandia Report SAND2005-4237, July 2005.