Publications

JOURNALS


• H. Erten* and A. Ungor.
  Quality Triangulations with Locally Optimal Steiner Points,
  SIAM Journal of Scientfic Computing, 31(3): 2103--2130, 2009.
  
  
• A. Ungor.
  Off-centers: A new type of Steiner points for computing size-optimal guaranteed-quality Delaunay triangulations.
  Computational Geometry: Theory and Applications (CGTA), 42(2): 109--118, 2009.
  
  
• D. Spielman and S.-H. Teng and A. Ungor.
  Parallel Delaunay refinement: algorithms and analyses,
  Int. J. of Comp. Geometry \& Applications (IJCGA), (17)1: 1--31 2007.
  
  
• E. Akcali, A. Ungor, and Reha Uzsoy.
  Short-term capacity allocation problem with tool and setup constraints,
  Naval Research Logistics (NRL), 52(8): 754--764, 2005.
  
  
• J. Erickson, D. Guoy, J. Sullivan, and A. Ungor.
  Building space-time meshes over arbitrary spatial domains,
  Engineering with Computers (EwC). 20(4): 342--353, 2005.
  
  
• D. Eppstein, J. Sullivan and A. Ungor.
  Tiling space and slabs with acute tetrahedra,
  Computational Geometry: Theory and Applications (CGTA), (27)3: 237--255, 2004.
  
  
• A. Ungor, A. Sheffer, R.B. Haber and S.-H. Teng.
  Layer based solutions for constrained space-time meshing,
  Applied Numerical Mathematics (APNUM). 46(3-4): 425--443, 2003.
  
  
• A. Ungor and A. Sheffer.
  Pitching tents in space-time: mesh generation for discontinuous Galerkin method,
  Int. J. Foundations of Computer Science (IJFCS), 13(2): 201--221, 2002,
  
  
• A. Sheffer and A. Ungor.
  Efficient adaptive meshing of parametric models,
  ASME Int. J. of Computing and Information Science in Engineering (IJCISE), 1(4): 366--375, 2001.
  
  
• X.-Y. Li, S.-H. Teng and A. Ungor.
  Biting: advancing front meets sphere packing,
  Int. Journal of Numerical Methods in Engineering (IJNME)}, 49:61--81, 2000,
  
  
• X.-Y. Li, S.-H. Teng and A. Ungor.
  Simultaneous refinement and coarsening for adaptive meshing,
  Engineering with Computers (EwC)}, 15:280--291, 1999.
  
  
  CONFERENCES
  
  
• C. Zhao$^*$, H.~Erten$^*$ and {A.~\Ungor}.
  Mesh Smoothing Algorithms for Complex Geometric Domains,
  {\em Proc.~of the $18th$ Int.~Meshing Roundtable (IMR)}, accepted, 2009.
  
  
• H.~Erten$^*$ and {A.~\Ungor}.
  Computing Triangulations with No Small No Large Angles,
  International Symposium on Voronoi Diagrams (ISVD) 2009.
  
  
• {A.~Saifullah}$^*$ and {A.~\Ungor}.
  A Simple Algorithm For Triconnectivity of a Multigraph,
  Computing: The Australasian Theory Symposium (CATS) Wellington, New Zealand, 2009.
  (also published as a technical report at Washington University, WUCSE-2009-6).
  
  
• H.~Erten$^*$ and {A.~\Ungor}.
  Computing Acute and Non-obtuse Triangulations,
  Canadian Conference on Computational Geometry (CCCG) 2007: 205-208.
  
  
• Cem Boyaci, H.~Erten$^*$ and {A.~\Ungor}.
  Triangulations Loosing Bundles and Weight,
  Canadian Conference on Computational Geometry (CCCG) 2007: 201-204.
  
  
• H.~Erten$^*$ and {A.~\Ungor}.
  Triangulations with locally optimal Steiner points,
  Symposium on Geometry Processing (SGP) 2007: 143-152.
  
  
• R.~Jampani$^*$ and {A.~\Ungor}.
  Construction of Sparse Well-spaced Point Sets for Quality Tetrahedralizations,
  {\em Proc.~of the $16th$ Int.~Meshing Roundtable (IMR)}, 63--80, 2007.
  
  
• H.~Erten$^*$ and {A.~\Ungor}.
  On computing meshes with large smallest angles.
  {\em Proc.~Fall Workshop on Computational Geometry (FWCG)}, Smith College, Northampton MA, Dec 2006.
  
  
• S.~Har-Peled and {A.~\Ungor}.
  A time-optimal Delaunay refinement algorithm.
  {\em Proc.~ ACM Symp.~on Computational Geometry (SoCG)}, 228--236, Pisa, Italy, Jun 2005.
  
  

  Quality meshes made smaller.
  Alper Ungor.
  Proc. of the European Wrokshop on Computational Geometry, 2005.

  Time Complexity of Practical Parallel Steiner Point Insertion Algorithms [Extended abstract]
  Dan Spielman, Shang-hua Teng, and Alper Üngör
  (To appear) in Proceedings of ACM-SPAA, Barcelona, Spain 2004.
  

  Off-centers: A new type of Steiner points for computing size-optimal guaranteed-quality Delaunay triangulations.
  Alper Üngör
  Proceedings of LATIN 2004, pp. 152-161, April 5-9, Buenos Aires, Argentina.

  Approximation Algorithms for Degree-constrained Bipartite Network Flow.
  Elif Akcali and Alper Üngör,
  Proceedings of Int. Symposium on Computer and Information Sciences,
  163-170, Antalya, Turkey, Nov 2003.
  Springer LNCS-2869.

  Relaxed Scheduling in Dynamic Skin Triangulation
  Herbert Edelsbrunner and Alper Üngör
  Proceedings of the Japan Conf. on Discrete and Computational Geometry,
  Tokyo, Japan, Dec 2002.
  Springer LNCS-series.
  arXiv:cs.CG/0302031

  Building space-time meshes over arbitrary spatial domains
  Jeff Erickson, Damrong Guoy, John Sullivan, and Alper Üngör
  Proceedings of the 11th International Meshing Roundtable, pp 391-402, 2002.
  arXiv:cs.CG/0206002

  Parallel Delaunay Refinement: Algorithms and Analyses
  Dan Spielman, Shang-hua Teng, and Alper Üngör
  Proceedings of the 11th International Meshing Roundtable, 205-217, 2002.
  arXiv:cs.CG/0207063

  Tiling 3D Euclidean space with acute tetrahedra
  Alper Üngör
  Proc. of Canadian Conference on Computational Geometry, pp. 169-172, Waterloo, ON, 2001.
  

  Discontinuous Galerkin method for elastodynamics with local balance of energy and momentum
  Robert Haber, Lin Yin, Alla Sheffer, Alper Üngör and Boris Petracovici
  Symposium on Discontinuous Galerkin Methods, Sixth USNCCM, Dearborn, MI, August 2001.
  

  A space-time discontinuous Galerkin method for nonlinear conservation laws
  Jay Palaniappan, Robert B. Haber, Robert D. Moser, Alla Sheffer and Alper Üngör
  Symposium on Discontinuous Galerkin Methods, Sixth USNCCM, Dearborn, MI, August 2001.
  

  Efficient adaptive meshing of parametric models
  Alla Sheffer and Alper Üngör
  Proc. of the Sixth ACM Symposium on Solid Modeling and Applications , Ann Arbor, MI, June 2001.
  

  Tent-pitcher: a meshing algorithm for space-time discontinuous Galerkin methods
  Alper Üngör and Alla Sheffer
  Proc. of the 9th International Meshing Roundtable, New Orleans, LO, October 2000.
  

  An alignment algorithm for anisotropic meshes with non-uniform flow fields.
  Alper Üngör
  Proc. of 7th Int. Numerical Grid Generation, Whistler, Canada, 2000.
  

  Space-Time meshes for non-linear hyperbolic problems satisfying a non-uniform cone constraint.
  Alper Üngör, Alla Sheffer, Robert Haber
  Proc. of 7th Int. Numerical Grid Generation, Whistler, Canada, 2000.
  

  Smoothing cleans up slivers
  Herbert Edelsbrunner, Xiang-Yang Li, Gary Miller, Andreas Stathopoulos, Dafna Talmor, Shang-Hua Teng, Alper Üngör and Noel Walkington
  ACM Symposium on Theory of Computing (STOC00), 273-277, Portland, Oregon. May 21-23, 2000.
  

  Constrained 2D space-time meshing with all tetrahedra
  Alper Üngör, Cinda Heeren, Xiang-Yang Li, Alla Sheffer, Robert Haber, and Shang-Hua Teng
  16th IMACS World Congress on Scientific Computation,Applied Mathematics and Simulation, Lausanne, Switzerland August 21-25, 2000.
  

  Generation of 2D space-time meshes obeying the cone constraint.
  Alla Sheffer, Alper Üngör, Robert Haber and Shang-Hua Teng
  International Conference on Computational Engineering Science Los Angeles, CA, August 2000.
  

  Point placement for meshless methods using sphere packing and advancing front methods.
  Xiangyang Li, ShangHua Teng and Alper Üngör
  International Conference on Computational Engineering Science Los Angeles, CA, August 2000.
  

  Biting spheres in 3D
  Xiangyang Li, ShangHua Teng and Alper Üngör
  8th International Meshing Roundtable, Lake Tahoe, CA, October 1999.
  

  Biting ellipses to generate anisotropic meshes
  Xiangyang Li, ShangHua Teng and Alper Üngör
  8th International Meshing Roundtable, Lake Tahoe, CA, October 1999.
  

  Biting: advancing front meets sphere packing
  Xiangyang Li, ShangHua Teng and Alper Üngör
  2nd Symposium on Trends in Unstructured Mesh Generation, Fifth USNCCM, Boulder, Colorado, August 4-6, 1999.
  

  Simultaneous refinement and coarsening: adaptive meshing with moving boundary
  Xiangyang Li, ShangHua Teng and Alper Üngör
  7th International Meshing Roundtable, Dearborn, Michigan, pp. 201-210, October 1998.