Fraunhofer Institute for Algorithms and Scientific Computing SCAIB. Metsch, F. Nick, J. Kuhnert.: Algebraic Multigrid for the Finite Pointset Method, Comput. Visual Sci. 23(3), 2020.
S. Ehrmann, S. Gries, M. A. Schweitzer: Transition Of Algebraic Multiscale To Algebraic Multigrid, Computational Geosciences, June 2019.
S. Gries, B. Metsch, P. Tomin, K.M. Terekhov: System-AMG for Fully Coupled Reservoir Simulation with Geomechanics, SPE Reservoir Simulation Conference, Galveston, Tx, April 2019.
F. Nick, H.-J. Plum and J. Kuhnert: Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method. In: M. Griebel and A. M. Schweitzer, M.A. editors, Meshfree Methods for Partial Differential Equations IX, Vol. 129, pages 93–115. Cham Springer International Publishing, 2019.
S. Ehrmann, S. Gries, M. A. Schweitzer: Transition Of Algebraic Multiscale To Algebraic Multigrid, ECMOR XVI-16th European Conference on the Mathematics of Oil Recovery, Barcelona, Spain, September 2018.
F. Nick, B. Metsch, and H.-J. Plum: Linear solvers for the finite pointset method, Recent Advances in Computational Engineering, (2018), p. 89.
S. Gries: On the Convergence of System-AMG in Reservoir Simulation, SPE Journal, January 2018. Link
H.-J. Plum, A. Krechel, S. Gries, B. Metsch, F. Nick, M. A. Schweitzer, and K. Stüben: Parallel algebraic multigrid, in Scientific Computing and Algorithms in Industrial Simulations, Springer, 2017, pp. 121–134.
K. Stüben, J.W. Ruge, T. Clees, S. Gries, H.-J. Plum.: Algebraic Multigrid – From Academia to Industry, in Griebel, M., Schüller, A., Schweitzer, M. A.(Eds.): Scientific Computing and Algotrihms in Industrial Simulations,Springer, September 2017.
S. Gries: On the Convergence of System-AMG in Reservoir Simulation, SPE Reservoir Simulation Conference, Montgomery, Tx, February 2017
S. Gries: System-AMG Approaches for Industrial Fully and Adaptive Implicit Oil Reservoir Simulations, Dissertation at the University of Cologne, November 2015. Diss Sebastian Gries [PDF]
S. Gries, H.-J. Plum: Status of System-AMG for Reservoir Simulations, SPE Reservoir Simulation Symposium, Houston, Tx, February 2015.
S. Gries, K. Stüben, G.L. Brown, D. Chen, D. Collins: Preconditioning for Efficiently Applying Algebraic Multigrid in Fully Implicit Reservoir Simulations, SPE Journal, August 2014.
Metsch, B.: Algebraic Multigrid for Saddle Point Problems, Dissertation at the University of Bonn, October 2013. Link
Thum, P.; Guvanasen, V.:The Algebraic Multigrid Method (AMG) for the Acceleration of Coupled Surface and Subsurface Flow and Transport Simulations; “MODFLOW and MORE”, Colorado School of Mines, Golden, Colorado, June 2-5, 2013. Short Paper [PDF, 0.1 MB]
Gries, S.; Stüben, K.; Brown, G.; Chen, D.; Collins, D.: Preconditioning for Efficiently Applying Algebraic Multigrid in Fully Implicit Reservoir Simulations. SPE Reservoir Simulation Symposium, SPE 163608, February 2013, The Woodlands, Texas.
Thum, P.: Algebraic Multigrid for the Multi-Ion Transport and Reaction Model - A Physics-Aware Approach. Logos-Verlag, ISBN 978-3-8325-3285-7, 2013 Dissertation at the University of Cologne 2012. Abstract [PDF, 0.1 MB]
Zecchin, A. ; Thum, P. ; Simpson, A. and Tischendorf; C.: Steady-State Behavior of Large Water Distribution Systems: Algebraic Multigrid Method for the Fast Solution of the Linear Step. Journal of Water Resources Planning and Management, American Society of Civil Engineers, Vol. 138(6), 639-650, 2012. Link
Gries, S.; Stüben, K.; Brown, G.; Chen, D.; Collins, D.: Advanced AMG Application for Solving CPR-type Pressure Systems. "Mathematical Methods for Fluid Dynamics and Simulation of Giant Oil and Gas Reservoirs" Conference, September 2012, Istanbul. Abstract [PDF, 0.3 MB]
Gries, S.: SAMG @ CSMP: Parallelization Issues, CSMP Workshop, September 2012, Colleoli - Italy.
Thum, P.; Stüben, K.: Advanced Multigrid Application for the Acceleration of Groundwater Simulations. “XIX International Conference on Water Resources (CMWR)”, University of Illinois at Urbana-Champaign, June 17-20, 2012. Download [PDF, 0.5 MB]
Kraus, J.; Förster, Brandes, T.; Soddemann, T.: Using LAMA for efficient AMG on hybrid clusters. Computer Science - Research and Development, Springer, May 2012. Link
Kraus, J.; Förster, M.: Efficient AMG on Heterogeneous Systems. Book: Facing the Multicore - Challenge II, Lecture Notes in Computer Science, Springer Berlin Heidelberg, 2012. Download [PDF, 0.3 MB]
Thum, P.; Diersch, H.J.; Gründler, R.: SAMG – The Linear Solver for Groundwater Simulation. MODELCARE 2011. September 2011; Leipzig, Germany . Abstract [PDF, 0.1 MB]
Förster, M.; Kraus, J.: Scalable parallel AMG on ccNUMA machines with OpenMP. Computer Science - Research and Development, June 2011, Volume 26, Issue 3-4, pp 221-228. Link
Thum, P.; Hesch, W.; Stüben, K.: LMG2: Accelerating the SAMG Multigrid-Solver in MODFLOW. “MODFLOW and MORE”, Colorado School of Mines, Golden, Colorado, June 5-8, 2011. Download [PDF, 0.2 MB]
Zaretskiy, Y.; Geiger, S.; Sorbie, K.; Förster, M.: Efficient flow and transport simulations in reconstructed 3D pore geometries. Advances in Water Resources, Volume 33, Issue 12, December 2010, Pages 1508-1516. Link
Zaretskiy, Y.; Geiger, S.; Sorbie, K.; Förster, M.: Pore-scale Modeling of Chemically Induced Effects on Two-phase Flow. 12th European Conference on the Mathematics of Oil Recovery, Capillary and Surface Effects, 06. September 2010. Link
Clees, T; Ganzer, L.: An Efficient Algebraic Multigrid Solver Strategy for Adaptive Implicit Methods in Oil-Reservoir Simulation. SPE Journal, Volume 15, Number 3, doi: 10.2118/105789-PA, 2010. Link
Thum, P.; Clees, T.; Weyns, G.; Nelissen, G.; Deconinck, J.: Efficient algebraic multigrid for migration-diffusion-convection-reaction systems arising in electrochemical simulations. Journal of computational physics, Vol. 229, Issue 19, pp. 7260-7276, doi:j.jcp.2010.06.011, 2010. Link
Naumovich, A.; Förster, M.; Dwight, R.: Algebraic multigrid within defect correction for the linearized Euler equations . Numerical Linear Algebra with Applications. vol. 17, no 2-3, pp. 307-324 , doi: 10.1002/nla.687, 2010. Link
Thum , P.; Clees, T.: Towards physics-oriented smoothing in algebraic multigrid for systems of partial differential equations arising in multi-ion transport and reaction models. Numerical Linear Algebra with Applications , vol. 17 , no 2-3 , pp 253-271, doi: 10.1002/nla.706, 2010. Link
Batycky, R.P., Förster, M., Thiele, M.R., and Stüben, K.: Parallelization of a Commercial Streamline Simulator and Performance on Practical Models, SPE-REE (118684), 2010. Download [PDF, 0.3 MB]
Thum, P.: One for all – the new SAMG solver control within FEFLOW. 2nd international FEFLOW User Conference, Potsdam (Germany), 2009. Download [PDF, 0.1 MB]
Stüben, K., Clees, T., Klie, H., Lou, B., Wheeler, M.F.: Algebraic Multigrid Methods (AMG) for the Efficient Solution of Fully Implicit Formulations in Reservoir Simulation, paper SPE 105832 presented at the 2007 SPE Reservoir Simulation Symposium, Houston, TX, Feb. 28–30, 2007. Download [PDF, 0.1 MB]
Klie, H., Wheeler, M.F., Clees, T., Stüben, K.: Deflation AMG Solvers for Highly Ill-Conditioned Reservoir Simulation Problems, paper SPE 105820 presented at the 2007 SPE Reservoir Simulation Symposium, Houston, TX, Feb. 28–30, 2007. Download [PDF, 0.6 MB]
Clees, T. and Ganzer, L.: An Efficient Algebraic Multi-Grid Solver Strategy for Adaptive Implicit Methods in Oil Reservoir Simulation, paper SPE 105789 presented at the 2007 SPE Reservoir Simulation Symposium, Houston, TX, Feb. 26-28, 2007. Download [PDF, 0.3 MB]
Larson, G., Synder, D., Abeele, D., and Clees, T.: Application of single-level, pointwise algebraic, and smoothed aggregation multigrid methods to direct numerical simulations of incompressible turbulent flows. ISSN 1432-9360 (Print) 1433-0369 (Online), DOI 10.1007/s00791-006-0055-4, Online First: SpringerLink Date Tuesday, January 09, 2007. Link
Stüben, K.: Solving Reservoir Simulation Equations. 9th International Forum on Reservoir Simulation, December 9-13, 2007, Abu Dhabi, United Arab Emirates. Download [PDF, 3.7 MB]
Zitzmann, M., Clees, T., and Weigel, R.: Iterative methods for reluctance based PEEC models. In Proceedings of 17th International Zurich Symposium on Electromagnetic Compatibility (EMC-Zurich), Singapore 2006, Feb 27 - Mar 3, IEEE, pp. 81–84, 2006. IEEE Catalog No. 06EX1190C, ISBN 3-9522990-4-9.
Zitzmann, M., Grillmair, R., Clees, T., and Weigel, R.: Hybrid solver strategies in automotive EMC simulation. In Proceedings of 17th International Zurich Symposium on Electromagnetic Compatibility (EMC-Zurich), Singapore 2006, Feb 27 - Mar 3, IEEE, pp. 340–343, 2006. IEEE Catalog No. 06EX1190C, ISBN 3-9522990-4-9.
Clees, T.: AMG Strategies for PDE Systems with Applications in Industrial Semiconductor Simulation. Aachen: Shaker Verlag, 2005 (Fraunhofer series in information and communication technology, 2005, 6). Zugl.: Köln, Univ., Diss., 2004. Download [PDF, 2.7 MB]
Häfner, F.; Stüben, K: Simulation and Parameter Identification of Oswald’s Saltpool Experiments with the SAMG Multigrid-Solver in the Transport Code MODCALIF. FEM Modflow : International Conference on Finite Element Models, MODFLOW, and More. 13 - 16 September 2004, Karlovy Vary, Czech Republic. Prague, 2004. Download [PDF, 0.1 MB]
Stüben, K.; Delaney, P.; Chmakov, S.: Algebraic Multigrid (AMG) for Ground Water Flow and Oil Reservoir Simulation. Joint paper with Waterloo Hydrogeologic Inc. presented at the Groundwater Modeling Conference “MODFLOW and MORE”, Colorado School of Mines, Golden, Colorado, Sept 17-19, 2003. Download [PDF, 0.5 MB]
Clees, T.; Stüben, K.: Algebraic Multigrid for Industrial Semiconductor Device Simulation. Proceedings of the First International Conference on Challenges in Scientific Computing, Berlin, Germany, Oct 2-5, 2002. Lecture Notes in Computational Science and Engineering 35, Springer, Heidelberg, Berlin, 2003. Download [PDF, 0.8 MB]
Füllenbach, T.; Stüben, K.: Algebraic multigrid for selected PDE systems. Proceedings of the Fourth European Conference on Elliptic and Parabolic Problems, Rolduc (The Netherlands) and Gaeta (Italy), 2001. World Scientific, New Jersey, London, pp. 399-410, 2002. Download [PDF, 0.6 MB]
Krechel, A.; Stüben, K.: Parallel algebraic multigrid based on subdomain blocking. Report on a parallel AMG approach. Appeared in: Parallel Computing 27, pp. 1009-1031, 2001. Download [PDF, 5 MB]
Stüben, K.: A Review of Algebraic Multigrid. A short report on AMG and the basic solver technology. Appeared in: Journal of Computational and Applied Mathematics 128, pp. 281-309, 2001. Download [PDF, 1.5 MB]
Stüben, K.: An Introduction to Algebraic Multigrid. Introduction to the AMG methodology for scalar applications, including many results and performance measurements. Appeared as an appendix in the book: „Multigrid“ by U. Trottenberg; C.W. Oosterlee; A. Schüller, Academic Press, pp. 413-532, 2001. Download [PDF, 10 MB]
Füllenbach, T.; Stüben, K.; Mijalkovic, S.: Application of an algebraic multigrid solver to process simulation problems. Proceedings of the International Conference on Simulation of Semiconductor Processes and Devices, Seattle (WA), USA, Sep 6-8, 2000. IEEE, Piscataway (NJ), USA, pp. 225-228, 2000. Download [PDF, 0.1 MB]
Krechel, A.; Stüben, K.: Operator Dependent Interpolation in Algebraic Multigrid. Lect Notes Comput Sci Eng, vol. 3. Springer, Berlin. pp. 189-211 Download [PDF, 0.5 MB]