Hybrid Parallel Multigrid Methods for Geodynamical Simulations
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Barbara I. Wohlmuth | Ulrich Rüde | Gerhard Wellein | Markus Wittmann | Daniel Drzisga | Simon Bauer | Hans-Peter Bunge | Marcus Mohr | Christian Waluga | Jens Weismüller | Markus Huber | Björn Gmeiner | Holger Stengel | Lorenz John | G. Wellein | U. Rüde | B. Wohlmuth | M. Wittmann | M. Huber | H. Bunge | C. Waluga | J. Weismüller | M. Mohr | B. Gmeiner | L. John | Daniel Drzisga | S. Bauer | H. Stengel
[1] Walter R. Roest,et al. Age, spreading rates, and spreading asymmetry of the world's ocean crust , 2008 .
[2] Georg Stadler,et al. Large-scale adaptive mantle convection simulation , 2013 .
[3] A. Brandt,et al. Multigrid Solutions to Elliptic Flow Problems , 1979 .
[4] Achi Brandt,et al. Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, Revised Edition , 2011 .
[5] J. Douglas,et al. Stabilized mixed methods for the Stokes problem , 1988 .
[6] Lars Stixrude,et al. Thermodynamics of mantle minerals – I. Physical properties , 2005 .
[7] McSween Hy,et al. Evidence for Life in a Martian Meteorite , 1997 .
[8] André Garon,et al. Weak imposition of the slip boundary condition on curved boundaries for Stokes flow , 2014, J. Comput. Phys..
[9] Ulrich Rüde,et al. A Massively Parallel Multigrid Method for Finite Elements , 2006, Computing in Science & Engineering.
[10] Barbara I. Wohlmuth,et al. Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow , 2014, SIAM J. Numer. Anal..
[11] Martin Kronbichler,et al. Algorithms and data structures for massively parallel generic adaptive finite element codes , 2011, ACM Trans. Math. Softw..
[12] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[13] Hari Sundar,et al. Comparison of multigrid algorithms for high‐order continuous finite element discretizations , 2014, Numer. Linear Algebra Appl..
[14] Adrian Lenardic,et al. Three‐dimensional mantle convection simulations with a low‐viscosity asthenosphere and the relationship between heat flow and the horizontal length scale of convection , 2008 .
[15] C. R. Hagelberg,et al. Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography , 2001 .
[16] J. Mitrovica,et al. Haskell [1935] revisited , 1996 .
[17] John R. Baumgardner,et al. Three-dimensional treatment of convective flow in the earth's mantle , 1985 .
[18] Constantine Bekas,et al. An extreme-scale implicit solver for complex PDEs: highly heterogeneous flow in earth's mantle , 2015, SC15: International Conference for High Performance Computing, Networking, Storage and Analysis.
[19] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[20] Joachim Schöberl,et al. On Schwarz-type Smoothers for Saddle Point Problems , 2003, Numerische Mathematik.
[21] R. Bank,et al. A class of iterative methods for solving saddle point problems , 1989 .
[22] Bramley J. Murton,et al. A continuous 55-million-year record of transient mantle plume activity beneath Iceland , 2014 .
[23] D. L. Anderson,et al. Preliminary reference earth model , 1981 .
[24] P. R. Vogt,et al. Asthenosphere motion recorded by the ocean floor south of Iceland , 1971 .
[25] Carsten Burstedde,et al. p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees , 2011, SIAM J. Sci. Comput..
[26] Yvan Notay,et al. A Simple and Efficient Segregated Smoother for the Discrete Stokes Equations , 2014, SIAM J. Sci. Comput..
[27] Sri Widiyantoro,et al. Global seismic tomography: A snapshot of convection in the Earth: GSA Today , 1997 .
[28] Nicholas J. White,et al. Transient convective uplift of an ancient buried landscape , 2010 .
[29] Barbara I. Wohlmuth,et al. Resilience for Multigrid Software at the Extreme Scale , 2015, ArXiv.
[30] Bernhard S. A. Schuberth,et al. Reconciling dynamic and seismic models of Earth's lower mantle: The dominant role of thermal heterogeneity , 2012 .
[31] Y. Ricard,et al. Physics of Mantle Convection , 2007 .
[32] Philip M. Gresho,et al. The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow , 1982 .
[33] Ulrich Rüde,et al. Fast asthenosphere motion in high‐resolution global mantle flow models , 2015 .
[34] Gerhard Wellein,et al. Exploring performance and power properties of modern multi‐core chips via simple machine models , 2012, Concurr. Comput. Pract. Exp..
[35] Jeannot Trampert,et al. Using probabilistic seismic tomography to test mantle velocity–density relationships , 2003 .
[36] Hendrik Jan van Heijst,et al. Global transition zone tomography , 2004 .
[37] Richards,et al. Time scales and heterogeneous structure in geodynamic earth models , 1998, Science.
[38] Barbara I. Wohlmuth,et al. Mass-corrections for the conservative coupling of flow and transport on collocated meshes , 2016, J. Comput. Phys..
[39] Barbara I. Wohlmuth,et al. Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems , 2015, SIAM J. Sci. Comput..
[40] Walter Zulehner,et al. Analysis of iterative methods for saddle point problems: a unified approach , 2002, Math. Comput..
[41] Howard C. Elman,et al. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics , 2014 .
[42] Lapo Boschi,et al. A comparison of tomographic and geodynamic mantle models , 2002 .
[43] Barbara Wohlmuth,et al. Solution Techniques for the Stokes System: A priori and a posteriori modifications, resilient algorithms , 2015, 1511.05759.
[44] Louis Moresi,et al. Role of temperature‐dependent viscosity and surface plates in spherical shell models of mantle convection , 2000 .
[45] David J. Stevenson,et al. Effects of multiple phase transitions in a three-dimensional spherical model of convection in Earth's mantle , 1994 .
[46] Andreas Fichtner,et al. Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods , 2009 .
[47] P. Tackley,et al. Mantle convection and plate tectonics: toward an integrated physical and chemical theory , 2000, Science.
[48] R. Verfürth. Finite element approximation on incompressible Navier-Stokes equations with slip boundary condition , 1987 .
[49] Ulrich Rüde,et al. Hierarchical hybrid grids: achieving TERAFLOP performance on large scale finite element simulations , 2007, Int. J. Parallel Emergent Distributed Syst..
[50] Eh Tan,et al. GeoFramework: Coupling multiple models of mantle convection within a computational framework , 2006 .
[51] N. A. Haskell. The Motion of a Viscous Fluid Under a Surface Load , 1935 .
[52] Ulrich Rüde,et al. Towards Textbook Efficiency for Parallel Multigrid , 2015 .
[53] Mark A. Richards,et al. A sensitivity study of three-dimensional spherical mantle convection at 108 Rayleigh number: Effects of depth-dependent viscosity, heating mode, and an endothermic phase change , 1997 .
[54] Louis Moresi,et al. A benchmark study on mantle convection in a 3‐D spherical shell using CitcomS , 2008 .
[55] Paul J. Tackley,et al. Effects of strongly variable viscosity on three‐dimensional compressible convection in planetary mantles , 1996 .
[56] Barbara I. Wohlmuth,et al. A quantitative performance analysis for Stokes solvers at the extreme scale , 2015, ArXiv.
[57] Samuel Williams,et al. Roofline: an insightful visual performance model for multicore architectures , 2009, CACM.
[58] Maria Seton,et al. Global continental and ocean basin reconstructions since 200 Ma , 2012 .
[59] Perumal Nithiarasu,et al. A hierarchical mesh refinement technique for global 3-D spherical mantle convection modelling , 2013 .
[60] Hans-Peter Bunge,et al. Cluster Design in the Earth Sciences Tethys , 2006, HPCC.
[61] Hans-Peter Bunge,et al. Mantle convection modeling on parallel virtual machines , 1995 .