Publications and Talks by Martin Neumüller
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Technical Reports
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A parallel space-time multigrid method, Oberwolfach Report, Volume 10, Issue 1, 2013. 10.4171/OWR/2013/03
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Space-time multigrid methods for parabolic optimal control problems, Oberwolfach Report, Volume 14, Issue 1, 2017. 10.4171/OWR/2017/15
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Publications
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Refinement of flexible space-time finite element meshes and discontinuous Galerkin methods.
Comput. Visual. Sci. 14 189-205, 2011. 10.1007/s00791-012-0174-z
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A DG Space-Time Domain Decomposition Method.
Domain Decomposition Methods in Science and Engineering XX (R. Bank, M. Holst, O. Widlund, J. Xu eds.). Lecture Notes in Computational Science and Engineering, vol. 91, Springer, Heidelberg, pp. 623-630, 2013. 10.1007/978-3-642-35275-1_74
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Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems.
SIAM J. Sci. Comput., 38(4), A2173-A2208, 2016. 10.1137/15M1046605
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Inverse inequality estimates with symbolic computation.
Adv. in Appl. Math. 80, 1-23, 2016. 10.1016/j.aam.2016.04.005
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Space-time isogeometric analysis of parabolic evolution problems.
Comput. Methods Appl. Mech. Engrg. 306, 342-363, 2016. 10.1016/j.cma.2016.03.042
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Space-Time CFOSLS Methods with AMGe Upscaling.
Domain decomposition methods in science and engineering XXIII, 253-260, Lect. Notes Comput. Sci. Eng., 116, Springer, Cham, 2017. 10.1007/978-3-319-52389-7_25
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Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems.
In: Lirkov I., Margenov S. (eds) Large-Scale Scientific Computing. LSSC 2017. Lecture Notes in Computer Science, vol 10665. Springer, Cham. 10.1007/978-3-319-73441-5_2
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Direct and Iterative Solvers.
In: Kaltenbacher M. (eds) Computational Acoustics. CISM International Centre for Mechanical Sciences (Courses and Lectures), vol 579. Springer, Cham, 2018. 10.1007/978-3-319-59038-7_5
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Time-Multipatch Discontinuous Galerkin Space-Time Isogeometric Analysis of Parabolic Evolution Problems.
Electronic Transactions on Numerical Analysis (ETNA) 49, 126-150, 2018. 10.1553/etna_vol49s126
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Combining Space-Time Multigrid Techniques with Multilevel Monte Carlo Methods for SDEs.
In: Bjørstad P. et al. (eds) Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. Lecture Notes in Computational Science and Engineering, vol 125. Springer, Cham, 2018. 10.1007/978-3-319-93873-8_47
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A Fully Parallelizable Space-Time Multilevel Monte Carlo Method for Stochastic Differential Equations with Additive Noise.
SIAM J. Sci. Comput., 40(3), C388-C400, 2018. 10.1137/17M1146725
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Space-time Discretizations Using Constrained First-Order System Least Squares (CFOSLS).
Journal of Computational Physics, 373, 863-876, 2018. 10.1016/j.jcp.2018.07.024
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The Auxiliary Space Preconditioner for the de Rham Complex.
SIAM J. Numer. Anal., 56(6), 3196-3218, 2018. 10.1137/17M1153376
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Time-Parallel Iterative Solvers for Parabolic Evolution Equations.
SIAM J. Sci. Comput., 41(1), C28-C51, 2019. 10.1137/18M1172466
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Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
SIAM J. Sci. Comput., 41(3), A1793-A1821, 2019. 10.1137/18M1208794
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Space-Time Finite Element Methods for Parabolic Evolution Problems with Variable Coefficients
In: Apel T., Langer U., Meyer A., Steinbach O. (eds) Advanced Finite Element Methods with Applications. FEM 2017. Lecture Notes in Computational Science and Engineering, vol 128. Springer, Cham, 2019. 10.1007/978-3-030-14244-5_13
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Generating admissible space-time meshes for moving domains in (d + 1) dimensions
In Ulrich Langer, Olaf Steinbach (Eds.), Space-Time Methods: Applications to Partial Differential Equations (pp. 185-206). Berlin, Boston: De Gruyter, 2019. 9783110548488-006
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Regularization error estimates for distributed control problems in energy spaces.
Math. Methods Appl. Sci., 44, 4176-4191, 2021. 10.1002/mma.7021
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A parallel space-time multigrid method for the eddy-current equation.
International Journal of Computing and Visualization in Science and Engineering, 1, 7, 2021. 10.51375/IJCVSE.2021.1.7
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Theses
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Space-Time Methods: Fast Solvers and Applications.
Dissertation, Graz University of Technology, June 2013.
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Eine Finite Elemente Methode für optimale Kontrollprobleme mit parabolischen Randwertaufgaben.
Master Thesis, Graz University of Technology, January 2010.
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Zur Lösbarkeit optimaler Kontrollprobleme mit elliptischen Randwertaufgaben.
Bachelor Thesis - Seminar, Graz University of Technology, October 2008.
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Eine Finite Elemente Methode für optimale Kontrollprobleme mit elliptischen Randwertaufgaben.
Bachelor Thesis - Project, Graz University of Technology, October 2008.
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Talks
- 2018
- New Finite Elements by using Potential Maps - With Applications to Linear Elasticity, FEM Symposium, Chemnitz, Sep. 24 - 26, 2018.
- An energy-conserving isogeometric space-time method for the wave equation, ECCM ECFD 2018, Glasgow, June 11 - 15, 2018.
- An energy-conserving isogeometric space-time method for the wave equation, Austrian Numerical Analysis Day 2018, Klagenfurt, May 3 - 4, 2018.
- A Space-Time Parallel Solver for Parabolic Problems, AHPC 2018, Linz, Feb. 19 - 21, 2018.
- On Space Time Methods, Festkolloquium für Olaf Steinbach, Graz, Nov. 10, 2017.
- A Time-parallel Algorithm for Parabolic Evolution Equations, Seminar, Linz, Nov. 7, 2017.
- Space-Time Solvers for Stochastic Partial Differential Equations, DK Statusseminar, St. Wolfgang, Sep. 27 - 29, 2017.
- A Time-parallel Algorithm for Parabolic Evolution Equations, CFEM Symposium 2017, Strobl, Sep. 25 - 27, 2017.
- Space-Time Solvers for Stochastic Partial Differential Equations, DMV 2017, Salzburg, Sep. 11 - 15, 2017.
- Space-Time Solvers for Stochastic Partial Differential Equations, LSSC 2017, Sozopol, June 5 - 9, 2017.
- A new family of conforming finite elements for H(symCurl), Institutsklausur, St. Lambrecht, May 11 - 14, 2017.
- Space-time multigrid methods for parabolic optimal control problems, Oberwolfach Workshop om Space-time Methods for Time-dependent Partial Differential Equations, Oberwolfach, March 13 - 17, 2017.
- Space-Time Multigrid Methods for Parabolic Problems, SIAM CSE 2017, Atlanta, Feb. 27 - March 3, 2017.
- Space-time isogeometric analysis of parabolic evolution problems, DD24, Longyearbyen, Feb. 6 - 10, 2017.
- Space-Time Multigrid Methods for Parabolic Problems, DD24, Longyearbyen, Feb. 6 - 10, 2017.
- Space-Time Multigrid Methods for Parabolic Problems, IMG 2016, Bruchsal, Dec. 5 - 9, 2016.
- Parallel Space-Time Methods, Fifth Parallel-in-Time Integration Workshop, Banff, Nov. 30 - Dec. 2, 2016.
- Parallel Space-Time Methods, Special Semester Space-Time Methods for PDEs, Linz, Nov. 7 - 11, 2016.
- Space-Time Methods and Space-Time Multigrid Methods, DK Statusseminar, St. Wolfgang, Sep. 28 - 30, 2016.
- Space-time CFOSLS Methods with AMGe Upscaling, MAFELAP, Brunel University, June 14 - 17, 2016.
- Space-time isogeometric analysis of parabolic evolution problems, ECCOMAS Congress, Crete Island, June 06 - 10, 2016.
- Direct and Iterative Solvers, CISM Course on Computational Acoustics, Udine, May 23 - 27, 2016.
- Analyzing a parallel space-time solver, GAMM 2016, Braunschweig, March 7 - 11, 2016.
- Space-time Isogeometric Analysis of Parabolic Evolution Equations, Institutsklausur, St. Lambrecht, Feb. 26 - 28, 2016.
- Parallel solvers for space-time problems, Seminar, Portland, Feb. 15, 2016.
- Parallel Solvers in Space and Time, SPPEXA Symposium 2016, Munich, Jan. 25 - 27, 2016.
- Fourier analysis for a parallel space-time solver, SFB-Seminar, Karlsruhe, Jan. 11, 2016.
- Fourier analysis for space-time multigrid solvers, PinT-Seminar, Jülich, Nov. 16, 2015.
- Introduction to space-time methods and solvers, DK Statusseminar, Strobl, Oct. 1, 2015.
- A parallel space-time multigrid method for parabolic optimal control problems, DMV 2015, Hamburg, Sept. 21 - 25, 2015.
- Parallel multigrid solvers for space-time problems, ENUMATH 2015, Ankara, Sept. 14 - 18, 2015.
- Optimal solution for a KAMIKAZE RANGER, ECMI Modelling Week 2015, Lisbon, July 19 - 26, 2015.
- Space-time isogeometric analysis of parabolic evolution problems, Workshop on Approximation Theory, CAGD, Numerical Analysis, and Symbolic Computation, Linz, Aug. 25 - 28, 2015.
- On the parallel solution of space-time problems, Austrian Numerical Analysis Day 2015, Linz, May 6 - 8, 2015.
- Parallel space-time multigrid methods, Austrian HPC Meeting 2015, Obergurgl, March 16 - 20, 2015.
- Parallel space-time solvers, International Conference on Computational Methods in Applied Mathematics, St. Wolfgang, Sept. 29 - Oct. 03, 2014.
- Parallel solvers for space-time problems, Workshop: Modelling and Simulation in Biomechanics, Mariatrost, Sept. 15 - 17, 2014.
- A parallel space-time multigrid solver for the Navier-Stokes equations, European Multigrid Conference, Leuven, Sept. 08 - 12, 2014.
- Parallel solvers for time dependent problems, International Workshop on Algorithms and Software for Scientific Computing, Vienna, July 08 - 09, 2014.
- Multigrid solvers in space and time, Meeting of the institute, St. Lambrecht, July 03 - 06, 2014.
- A parallel space-time multigrid solver for the Stokes equations, Modelling 2014, Roznov pod Radhostem, June 02 - 06, 2014.
- A parallel space-time solver for some optimal control problem, 12th European Finite Element Fair, Vienna, May 30 - 31, 2014.
- A parallel space-time multigrid solver for the Navier-Stokes equations, Seminar, JKU Linz, March 25, 2014.
- A space-time multigrid method for the Stokes equations, Seminar, Graz, Feb. 06, 2014.
- Space-Time Methods - Fast Solvers and Applications, Autumn School on Parallel solution of large engineering problems, Ostrava, Nov. 11 - 15, 2013.
- Space-time methods and fast solvers, Seminar, JKU Linz, Oct. 15, 2013.
- Space-Time Methods: Fast Solvers and Applications, Meeting of the institute, St. Lambrecht, July 05, 2013.
- A space-time multigrid method for high order time discretizations, MAFELAP, Brunel University, June 10 - 14, 2013.
- DG FEM im Raum-Zeit-Bereich, Mini-Workshop: Numerische Simulation von Strömungen, Graz, April 17, 2013.
- Analysis of a two grid space-time solver, 9th Austrian Numerical Analysis Day, Graz, April 11 - 12, 2013.
- A parallel space-time multigrid method, University of Geneva, Feb. 25, 2013.
- A parallel space-time multigrid method, Oberwolfach Workshop on Computational Electromagnetism and Acoustics, Oberwolfach, Jan. 21 - 25, 2013.
- Parallel space-time methods, Mini workshop on space-time methods, Graz, Dec. 06, 2012.
- A parallel space-time multigrid method, FEM Symposium, Chemnitz, Sep. 24 - 26, 2012.
- A multigrid method in space and time, European Multigrid Conference, Schwetzingen, Aug. 13 - 17, 2012.
- An adaptive DG finite element method in space and time, SFB Workshop: Efficient Solvers in Biomedical Application, Mariatrost, July 02 - 05, 2012.
- A fast space-time solver for the heat equation, Meeting of the institute, Planneralm, June 21 - 24, 2012.
- A space-time multigrid method, 8th Austrian Numerical Analysis Day, Vienna, May 10 - 11, 2012.
- An adaptive DG space-time method, GAMM Jahrestagung, Darmstadt, March 26 - 30, 2012.
- A DG finite element method in space and time, Vienna University of Technology, Jan. 26, 2012.
- A hybrid DG method in space and time, Domain Decomposition Solvers for Heterogeneous Field Problems, Hirschegg, Oct. 13 - 16, 2011.
- An adaptive DG finite element method in the space-time domain, FEM Symposium, Chemnitz, Sept. 28 - 30, 2011.
- A space-time method with application to the Navier Stokes equations, Mathematical Theory in Fluid Mechanics, Kacov, May 27 - June 03, 2011.
- Zur Adaptivität von Raum Zeit Methoden, Meeting of the institute, Salzstiegl, May 19 - 22, 2011.
- A fexible Space-Time DG method, 7th Austrian Numerical Analysis Day, Klagenfurt, May 05 - 06, 2011.
- Space-time methods applied to the Navier Stokes equations, GAMM Jahrestagung, Graz, April 18 - 21, 2011.
- DG FEM for distributed control problems, Workshop on Numerical Methods for Optimal Control and Inverse Problems, Garching, March 14 - 16, 2011.
- A Space-Time Domain Decomposition Method, 20th International Conference on Domain Decomposition Methods , San Diego, Feb. 07 - 11, 2011.
- A hybrid DG space-time method, FEM Symposium, Chemnitz, Sept. 27 - 29, 2010.
- A DG finite element method for parabolic equations, Workshop on Computational Electromagnetics, Graz, July 12 - 13, 2010.
- A hybrid DG finite element method in space and time, Domain Decomposition Solvers for Heterogeneous Field Problems, Hirschegg, June 02 - 06, 2010.
- A DG finite element method for parabolic equations, Discontinuous Galerkin Methods - Solvers and Applications, Linz, May 31 - June 01, 2010.
- A DG finite element method for parabolic equations, 6th Austrian Numerical Analysis Day, Salzburg, May 06 - 07, 2010.
- A DG finite element Method for parabolic optimal control problems, GAMM Jahrestagung, Karlsruhe, March 22 - 26, 2010.
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