Selected papers by Bedřich Sousedík and coauthors

You may also visit my profile at Google scholar, Math Reviews, ResearchGate, or ResearcherID.

Preprints and reports
• Ashok Krishnamurthy, Bedřich Sousedík, Maya Mueller, Agatha E. Ojimelukwe, Loren Cobb, Jocelyn Boegelsack, Brittany Millis: Application of an SEIRD model to the COVID-19 outbreak in Nigeria, 2021
  (a poster as pptx presented by Maya Mueller at the 41st Annual Conference of the International Society for Clinical Biostatistics selected in the top 3 presentations)

  Papers

• Bedřich Sousedík, Randy Price: A stochastic Galerkin method with adaptive time-stepping for the Navier-Stokes equations, Journal of Computational Physics, 468, 111456, 2022, article, arXiv:2207.04513

• Bedřich Sousedík: Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC, International Journal for Numerical Methods in Engineering, 123(20), 4844-4858, 2022, article, arXiv:2206.03425

• Mohammad S. Ghavami, Bedřich Sousedík, Hooshang Dabbagh, Morad Ahmadnasab: Stochastic Galerkin finite element method for nonlinear elasticity and application to reinforced concrete members, International Journal for Uncertainty Quantification, 12(6), 1-22, 2022, article, arXiv:2203.11088

• Bedřich Sousedík, Kookjin Lee: Stochastic Galerkin methods for linear stability analysis of systems with parametric uncertainty, SIAM/ASA Journal on Uncertainty Quantification, 10(3), 1101-1129, 2022, article, arXiv:2202.12485

• Bedřich Sousedík, Howard C. Elman, Kookjin Lee, Randy Price: On surrogate learning for linear stability assessment of Navier-Stokes equations with stochastic viscosity, Applications of Mathematics, 67(6), 727-749, 2022, article, arXiv:2103.00622

• Kevin Williamson, Heyrim Cho, Bedřich Sousedík: Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem, Computational Geosciences, 25, 1191-1213, 2021, article, arXiv:2102.06923

• Kookjin Lee, Howard C. Elman, Bedřich Sousedík: A low-rank solver for the Navier-Stokes equations with uncertain viscosity, SIAM/ASA Journal on Uncertainty Quantification, 7(4), 1275-1300, 2019, article, arXiv:1710.05812

• Kevin Williamson, Pavel Burda, Bedřich Sousedík: A posteriori error estimates and adaptive mesh refinement for the Stokes-Brinkman problem, Mathematics and Computers in Simulation, 166, 266-282, 2019, article, arXiv:1809.10630

• Theodore Weinberg (faculty sponsor: Bedřich Sousedík): Fast implementation of mixed RT0 finite elements in Matlab, SIAM Undergraduate Research Online, 12, 246-256, 2019, article (pdf), Matlab code

• Bedřich Sousedík: On adaptive BDDC for the flow in heterogeneous porous media, Applications of Mathematics, 64(3), 309-334, 2019, article, arXiv:1901.02090

• Kookjin Lee, Bedřich Sousedík: Inexact methods for symmetric stochastic eigenvalue problems, SIAM/ASA Journal on Uncertainty Quantification, 6(4), 1744-1776, 2018, article, arXiv:1811.00745

• Bedřich Sousedík, Howard C. Elman: Stochastic Galerkin methods for the steady-state Navier-Stokes equations, Journal of Computational Physics, 316, 435-452, 2016, article, arXiv:1506.08899

• Bedřich Sousedík, Howard C. Elman: Inverse subspace iteration for spectral stochastic finite element methods, SIAM/ASA Journal on Uncertainty Quantification, 4(1), 163-189, 2016, article, arXiv:1512.04613

• Jakub Šístek, Jan Březina, Bedřich Sousedík: BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions, Numerical Linear Algebra with Applications, 22(6), 903-929, 2015, article, arXiv:1504.07085

• Bedřich Sousedík, Roger G. Ghanem: Truncated hierarchical preconditioning for the stochastic Galerkin FEM, International Journal for Uncertainty Quantification, 4(4), 333-348, 2014, article, arXiv:1309.0826

• Bedřich Sousedík, Roger G. Ghanem, Eric T. Phipps: Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods, Numerical Linear Algebra with Applications, 21(1), 136-151, 2014, article, arXiv:1205.1864

• Bedřich Sousedík: Nested BDDC for a saddle point problem, Numerische Mathematik, 125(4), 761-783, 2013, article, arXiv:1109.0580

• Bedřich Sousedík, Jakub Šístek, Jan Mandel: Adaptive-Multilevel BDDC and its parallel implementation, Computing, 95, 1087-1119, 2013, article, arXiv:1301.0191

• Jakub Šístek, Jan Mandel, Bedřich Sousedík, Pavel Burda: Parallel implementation of Multilevel BDDC, Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011, in: Numerical Mathematics and Advanced Applications 2011, A. Cangiani, R. L. Davidchack, E. Georgoulis, A. N. Gorban, J. Levesley, M. V. Tretyakov (eds.), Springer, 681-689, 2013, article, arXiv:1201.5991

• Jakub Šístek, Jan Mandel, Bedřich Sousedík: Some practical aspects of parallel adaptive BDDC method, Proceedings of Applications of Mathematics 2012, Prague, Czech Republic, May 2-5, 2012, J. Brandts, J. Chleboun, S. Korotov, K. Segeth, J. Šístek, T. Vejchodský (eds.), Institute of Mathematics AS CR, 253-266, 2012, article, a local copy

• Georgi Jordanov, Jonathan D. Beezley, Nina Dobrinkova, Adam K. Kochanski, Jan Mandel, Bedřich Sousedík: Simulation of the 2009 Harmanli fire (Bulgaria), Proceedings of the 8th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, June 6-10, 2011, in: Large-Scale Scientific Computing, Ivan Lirkov, Svetozar Margenov, Jerzy Wasniewski (eds.), Lecture Notes in Computer Science, Volume 7116, Springer, 291-298, 2012, article, arXiv:1106.4736

• Jan Mandel, Bedřich Sousedík, Jakub Šístek: Adaptive BDDC in three dimensions, Mathematics and Computers in Simulation, 82(10), 1812-1831, 2012, article, arXiv:0910.5863

• Jakub Šístek, Bedřich Sousedík, Pavel Burda, Jan Mandel, Jaroslav Novotný: Application of the parallel BDDC preconditioner to the Stokes flow, Computers and Fluids, 46(1), 429-435, 2011, article, arXiv:1101.1775

• Bedřich Sousedík, Jan Mandel: On Adaptive-Multilevel BDDC, Proceedings of Domain Decomposition Methods in Science and Engineering XIX, Zhangjiajie, China, August 17-22, 2009, Yunqing Huang, Ralf Kornhuber, Olof Widlund, Jinchao Xu (eds.), in: Lecture Notes in Computational Science and Engineering, Volume 78, Part 1, Springer, 39-50, 2011, article, arXiv:0911.5730

• Jan Mandel, Bedřich Sousedík: Coarse space over the ages, Proceedings of Domain Decomposition Methods in Science and Engineering XIX, Zhangjiajie, China, August 17-22, 2009, Yunqing Huang, Ralf Kornhuber, Olof Widlund, Jinchao Xu (eds.), in: Lecture Notes in Computational Science and Engineering 78, Part 2, Springer, 213-220, 2011, article, arXiv:0911.5725

• Bedřich Sousedik, Jan Mandel: On the equivalence of primal and dual substructuring preconditioners, Computational Linear Algebra with Applications, Harrachov, Czech Republic, August 19-25, 2007. Electronic Transactions in Numerical Analysis 31, 384-402, 2008, article, arXiv:0802.4328

• Jan Mandel, Bedřich Sousedík, Clark R. Dohrmann: Multispace and Multilevel BDDC, Computing, 83(2-3), 55-85, 2008, article, arXiv:0712.3977

• Jan Mandel and Bedřich Sousedík: BDDC and FETI-DP under minimalist assumptions, Computing 81(4), 269-280, 2007, article, arXiv:0708.4031

• Jan Mandel, Bedřich Sousedík, Clark R. Dohrmann: On Multilevel BDDC, Proceedings of Domain Decomposition Methods in Science and Engineering XVII, St. Wolfgang-Strobl, Austria, July 3-7, 2006, Ulrich Langer, Marco Discacciati, David E. Keyes, Olof B. Widlund, Walter Zulehner (eds.), in: Lecture Notes in Computational Science and Engineering 60, Springer, 287-294, 2007, article, CCM Report 237, October 2006

• Jan Mandel, Bedřich Sousedík: Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods, Computer Methods in Applied Mechanics and Engineering, 196(8), 1389-1399, 2007, article, preprint

• Jan Mandel, Bedřich Sousedík: Adaptive coarse space selection in the BDDC and the FETI-DP iterative substructuring methods: optimal face degrees of freedom, Proceedings of Domain Decomposition Methods in Science and Engineering XVI, New York, USA, January 12-15 2005, Olof B. Widlund, David E. Keyes (eds.), in: Lecture Notes in Computational Science and Engineering 55, Springer, 421-428, 2007, article, preprint

• Bedřich Sousedík: Brief introduction to linear system theory, Applied Linear Algebra class project, Fall 2005, University of Colorado Denver, a local copy

• Marta Čertíková, Jan Tuzar, Bedřich Sousedík, Jaroslav Novotný: Stress computations of the hip joint replacement using the finite element method, Proceedings of Software and algorithms of numerical mathematics, SANM 2005, Srní na Šumavě, Czech Republic, September 2005, a local copy

• Bedřich Sousedík: Finite element solution algorithm for nonlinear elasticity problems by domain decomposition method, Proceedings of the 13th Conference of mathematics students of VSTEZ schools, Černice, Czech Republic, June 6-8, 2005, a local copy

• Bedřich Sousedík, Pavel Burda: Finite element formulation of three-dimensional nonlinear elasticity problem, Proceedings of the Seminar of applied mathematics in commemoration of the 100th birthday of Prof. Vyčichlo, Faculty of Civil Engineering, Czech Technical University in Prague, Prague, Czech Republic, April 2005, a local copy

• Bedřich Sousedík: Simulational study of cardiac cell contractility, Proceedings of the First International Congress on Computational Bioengineering, Zaragoza, Spain, September 24-26, 2003, Miguel Doblare, Helder Rodrigues, Miguel Cerrolaza (eds.), a local copy

• Bedřich Sousedík, Jaroslav Novotný: Parallelization of the BICG-STAB algorithm for finite element computations, Proceedings of Software and Algorithms of Numerical Mathematics (15.), Hejnice, Czech Republic, September 8-12, 2003, Institute of Thermomechanics AS CR, a local copy

• Pavel Burda, Jaroslav Novotný, Bedřich Sousedík: A posteriori error estimates applied to flow in a channel with corners, Mathematics and Computers in Simulation, 61(3-6), 375-383, 2003, article

Theses

• Bedřich Sousedík: Adaptive-Multilevel BDDC, Ph.D. thesis, University of Colorado Denver, May 2010, local copy, defense slides

• Bedřich Sousedík: Comparison of some domain decomposition methods, Ph.D. thesis, Czech Technical University in Prague, December 2008, local copy, errata, defense slides (in Czech)

• Bedřich Sousedík: Mathematical model of contractile apparatus of a cardiac cell (in Czech), M.Eng. thesis, Czech Technical University in Prague, August 2001, a local copy