Ulrich Hetmaniuk - Home Page

Ulrich Hetmaniuk

Curriculum Vitae | Research | Publications

Sandia National Laboratories
Computational Mathematics and Algorithms Dept.
PO Box 5800 - MS 1320
Albuquerque, NM 87185 - 1320

Ph: (505) 845-0516
Fx: (505) 845-7442

Email: ulhetma [at] sandia {DoT} gov

Curriculum Vitae
Education

1999-2002: Ph.D. in Aerospace Engineering Sciences, University of Colorado.
1998-1999: D.E.A in Numerical Analysis, Université of Paris VI.
1996-1999: Diploma of Engineering, Ecole Nationale des Ponts et Chaussées.
1993-1996: Diploma of Engineering, Ecole Polytechnique.

Awards

Robert J. Melosh Medal for the Best Student Paper in Finite Element Analysis (2002).
John A.Vise Graduate Student Excellence Award (2001).

Research

A posteriori error estimation.
Domain decomposition techniques.
Numerical solution of symmetric eigenvalue problem.
Multilevel parallel algorithms.
Wave propagation.

Publications
Submitted Reports

C. Baker, U. Hetmaniuk, R. Lehoucq, and H. Thornquist, "Anasazi software for the numerical solution of large-scale eigenvalue problems", Submitted for publication to TOMS.

P. Knupp and U. Hetmaniuk, "Local 2D metrics for mesh optimization in the target-matrix paradigm", Submitted for publication to SISC.

U. Hetmaniuk and P. Knupp, "Anisotropic interpolation error estimates based on singular value decomposition", Submitted for publication to SINUM.

Journals

M. Medvinsky, E. Turkel, and U. Hetmaniuk "Local absorbing boundary conditions for elliptical shaped boundaries", J. Comput. Phys., (in press).

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

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, 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.

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