CONTACT

Sander Rhebergen
Department of Applied Mathematics
email:Ìýsrheberg@uwaterloo.ca
office: MC 6134

RESEARCH INTERESTS

  • Discontinuous Galerkin methods
  • Space-time finite element methods
  • Preconditioning


STUDENTS


PUBLICATIONS

See also and .
Current and former graduate students and postdocs are indicated byÌý(GS) and (PD), respectively.

  1. E. Henriquez (GS), J. J. Lee and S. Rhebergen, Parameter-robust preconditioning for hybridizable symmetric discretizations. Submitted 2025. Ìý
  2. A. Cesmelioglu, M. Kuchta, J. J. Lee and S. Rhebergen, A coupled HDG/DG method for porous media with conducting/sealing faults. Submitted 2025. Ìý
  3. Y. Wang (GS) and S. Rhebergen, A posteriori error analysis of a space-time hybridizable discontinuous Galerkin method for the advection-diffusion problem. Submitted 2024.Ìý
  4. Y. Wang (GS) and S. Rhebergen, , IMA Journal of Numerical Analysis (2025). Accepted for publication.Ìý
  5. S. Rhebergen and B. S. Southworth, , Numerical Methods for Partial Differential Equations 41/2 (2025).Ìý
  6. A. Cesmelioglu, J. J. Lee and S. Rhebergen, , ESAIM: Mathematical Modelling and Numerical Analysis 58 (2024), pp. 1461-1495.Ìý
  7. A. Cesmelioglu, J. J. Lee, S. Rhebergen and D. Tabaku, , Computers and Mathematics with Applications 164 (2024), pp. 180-195.
  8. A. Cesmelioglu, J.J. Lee and S. Rhebergen, , ESAIM: Mathematical Modelling and Numerical Analysis 58 (2024), pp. 273-302.Ìý
  9. J. P. Dean, S. Rhebergen and G. N. Wells, , Computer Methods in Applied Mechanics and Engineering 417B (2023), 116493.Ìý
  10. A. Cesmelioglu, J.J. Lee and S. Rhebergen, . Journal of Scientific Computing 97:60 (2023).Ìý
  11. A. Cesmelioglu, J.J. Lee and S. Rhebergen, . Computers and Mathematics with Applications 144 (2023), pp. 12-33.Ìý
  12. A. Cesmelioglu, D.D. Pham and S. Rhebergen, , ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023), pp. 1257-1296.Ìý
  13. A. Cesmelioglu and S. Rhebergen, , Journal of Computational and Applied Mathematics, 422 (2023), 114923.Ìý
  14. K.L.A. Kirk (GS), T.L. Horvath (PD)Ìýand S. Rhebergen, ,ÌýMathematics of Computation, 92/340 (2023), pp. 525-556.Ìý
  15. K.L.A. Kirk (GS), A. Cesmelioglu and S. Rhebergen, ,ÌýMathematics of Computation, 92/339 (2023), pp. 147-174.Ìý
  16. G. Sosa Jones (GS)Ìýand S. Rhebergen,Ìý, Computers & Fluids, 246 (2022), 105625.Ìý
  17. T.L. Horvath (PD)Ìýand S. Rhebergen, ,ÌýInternational Journal for Numerical Methods in Fluids, 94/11 (2022), pp. 1784-1809.
  18. A. Baier-Reinio (GS), S. Rhebergen and G. N. Wells, ,ÌýJournal of Scientific Computing, 92:51 (2022).Ìý
  19. S. Rhebergen and G.N. Wells,Ìý, SIAM Journal on Scientific Computing, 44/1 (2022), pp. A583-A604.Ìý
  20. A.ÌýCesmelioglu and S. Rhebergen, , Communications on Applied Mathematics and Computation, 4 (2022), pp. 293-318.Ìý
  21. A.A. Sivas (GS), B.S. Southworth and S. Rhebergen, , SIAM Journal on Scientific Computing, 43/5 (2021), pp. A3393-A3416.Ìý
  22. Y. He (PD), S. Rhebergen and H. De Sterck, , SIAM Journal on Scientific Computing, 43/5 (2021), pp. S612-S636.Ìý
  23. R. Oyarzúa, S. Rhebergen, M. Solano and P. Zúñiga (PD), , ESAIM: Mathematical Modelling and Numerical Analysis, 55 (2021), S475-S506.Ìý
  24. G. Sosa Jones (GS), J.J. Lee and S. Rhebergen, , Journal of Scientific Computing, 85:61 (2020).Ìý
  25. P.L. Lederer and S. Rhebergen, , SIAM Journal on Numerical Analysis, 58/5 (2020), pp. 2915-2933.Ìý
  26. T.L. Horvath (PD)Ìýand S. Rhebergen, , Journal of Computational Physics, 417 (2020), 109577.Ìý
  27. C. Meaney, S. Rhebergen and M. Kohandel, , PLOS Computational Biology, 16/5 (2020), pp. 1-21.
  28. B.S. Southworth, A.A. Sivas (GS)Ìýand S. Rhebergen, , SIAM Journal on Matrix Analysis and Applications, 41/2 (2020), pp. 871-900.Ìý
  29. A. Cesmelioglu, S. Rhebergen and G.N. Wells, , Journal of Computational and Applied Mathematics, 367 (2020), 112476.Ìý
  30. S. Rhebergen and G.N. Wells, , Computer Methods in Applied Mechanics and Engineering, 358 (2020), 112619.Ìý
  31. K.L.A. Kirk (GS)Ìýand S. Rhebergen, , Journal of Scientific Computing, 81/2 (2019), pp 881-897.
  32. K.L.A. Kirk (GS), T.L. Horvath (PD), A. Cesmelioglu and S. Rhebergen, , SIAM Journal on Numerical Analysis, 57/4 (2019), pp. 1677-1696.Ìý
  33. T.L.ÌýHorvath (PD)Ìýand S. Rhebergen, , International Journal for Numerical Methods in Fluids, 89/12 (2019), pp 519-532.Ìý
  34. S. Rhebergen and G.N. Wells, , Journal of Scientific Computing, 77/3 (2018), pp 1936-1952.Ìý
  35. S. Rhebergen and G.N. Wells, , Journal of Scientific Computing, 76/3 (2018), pp 1484-1501.Ìý
  36. S. Rhebergen and G.N. Wells, , SIAM Journal on Numerical Analysis, 55/4 (2017), pp. 1982-2003.Ìý
  37. L. Alisic, S. Rhebergen, J.F. Rudge, R.F. Katz and G.N. Wells, , Geochemistry, Geophysics, Geosystems, 17/1 (2016), pp. 143-161.Ìý
  38. S. Rhebergen, G.N. Wells, A.J. Wathen and R.F. Katz, , SIAM Journal on Scientific Computing, 37/5 (2015), pp. A2270-A2294.Ìý
  39. S. Rhebergen, G.N. Wells, R.F. Katz and A.J. Wathen, , SIAM Journal on Scientific Computing, 36/4 (2014), pp. A1960-A1977.Ìý
  40. L. Alisic, J.F. Rudge, R.F. Katz, G.N. Wells and S. Rhebergen, , Journal of Geophysical Research: Solid Earth, 119/7 (2014), pp. 5903-5920.Ìý
  41. S. Rhebergen, B. Cockburn and J.J.W. van der Vegt, , Journal of Computational Physics, 233 (2013), pp. 339-358.Ìý
  42. S. Rhebergen and B. Cockburn, , In C.A. de Moura and C.S. Kubrusly, editors, The Courant-Friedrichs-Lewy (CFL) condition, 80 years after its discovery, pp. 45-63, Birkhauser Science, 2013.
  43. J.J.W. van der Vegt and S. Rhebergen, , Journal of Computational Physics, 231/22 (2012), pp. 7537-7563.Ìý
  44. J.J.W. van der Vegt and S. Rhebergen, , Journal of Computational Physics, 231/22 (2012), pp. 7564-7583.Ìý
  45. S. Rhebergen and B. Cockburn, , Journal of Computational Physics, 231/11 (2012), pp. 4185-4204.
  46. S. Rhebergen, J.J.W. van der Vegt and H. van der Ven, , In N. Kroll, H. Bieler, H. Deconinck, V. Couallier, H. Van der Ven and K. Sorensen, editors, ADIGMA - A European initiative on the development of adaptive higher-order variational methods for aerospace applications, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Volume 113, pp. 257-269, 2010.Ìý
  47. S. Rhebergen, O. Bokhove and J.J.W. van der Vegt, , Computer Methods in Applied Mechanics and Engineering, 198/5-8 (2009), pp. 819-830.Ìý
  48. P.A. Tassi, S. Rhebergen, C.A. Vionnet and O. Bokhove, , Computer Methods in Applied Mechanics and Engineering, 197/33-40 (2008), pp. 2930-2947.Ìý
  49. S. Rhebergen, O. Bokhove and J.J.W. van der Vegt, , Journal of Computational Physics, 227/3 (2008), pp. 1887-1922.Ìý