## Group Janna

Group Description |
Finite element simulations: gas reservoir and structural problems. Univ Padova. C. Janna, Univ. of Padova. Authors: Carlo Janna and Massimiliano Ferronato All matrices in the set are symmetric and positive definite. Serena: Gas reservoir simulation for CO2 sequestration. # equations: 1,391,349 # non-zeroes: 64,531,701 Problem description: structural problem The matrix Serena is obtained from a structural problem discretizing a gas reservoir with tetrahedral Finite Elements. The medium is strongly heterogeneous and characterized by a complex geometry consisting of alternating sequences of thin clay and sand layers. References: [1] Emilia_923: # equations: 923136 # non-zeroes: 41005206 Problem description: Geomechanical problem The matrix Emilia_923 is obtained from a structural problem discretizing a gas reservoir with tetrahedral Finite Elements. Due to the complex geometry of the geological formation it was not possible to obtain a computational grid characterized by regularly shaped elements. The problem arises from a 3D discretization with three displacement unknowns associated to each node of the grid. References: [1], [2] Fault_639: # equations: 638802 # non-zeroes: 28614564 Problem description: contact mechanics The matrix Fault_639 is obtained from a structural problem discretizing a faulted gas reservoir with tetrahedral Finite Elements and triangular Interface Elements. The Interface Elements are used with a Penalty formulation to simulate the faults behaviour. The problem arises from a 3D discretization with three displacement unknowns associated to each node of the grid. References [3,4,5,6] Flan_1565: # equations: 1564794 # non-zeroes: 117406044 Problem description: Structural problem The matrix Flan_1565 is obtained from a 3D mechanical problem discretizing a steel flange with hexahedral Finite Elements. Due to the regular shape of the mechanical piece, the computational grid is a structured mesh with regularly shaped elements. Three displacement unknowns are associated to each node of the grid. References [6,7] Geo_1438: # equations: 1437960 # non-zeroes: 63156690 Problem description: Geomechanical problem The matrix Geo_1438 is obtained from a geomechanical problem discretizing a region of the earth crust subject to underground deformation. The computational domain is a box with an areal extent of 50 x 50 km and 10 km deep consisting of regularly shaped tetrahedral Finite Elements. The problem arises from a 3D discretization with three displacement unknowns associated to each node of the grid. Reference: [6] Hook_1498: # equations: 1498023 # non-zeroes: 60917445 Problem description: Structural problem The matrix Hook_1498 is obtained from a 3D mechanical problem discretizing a steel hook with tetrahedral Finite Elements. The computational grid consists of regularly shaped elements with three displacement unknowns associated to each node. StocF-1465: # equations: 1465137 # non-zeroes: 21005389 Problem description: Flow in porous medium with a stochastic permeabilies The matrix StocF_1465 is obtained from a fluid-dynamical problem of flow in porous medium. The computational grid consists of tetrahedral Finite Elements discretizing an underground aquifer with stochastic permeabilties. References: [2,8] References: [1] M. Ferronato, G. Gambolati, C. Janna, P. Teatini. "Geomechanical issues of anthropogenic CO2 sequestration in exploited gas fields", Energy Conversion and Management, 51, pp. 1918-1928, 2010. [2] C. Janna, M. Ferronato. "Adaptive pattern research for block FSAI preconditionig". SIAM Journal on Scientific Computing, to appear. [3] M. Ferronato, G. Gambolati, C. Janna, P. Teatini. "Numerical modelling of regional faults in land subsidence prediction above gas/oil reservoirs", International Journal for Numerical and Analytical Methods in Geomechanics, 32, pp. 633-657, 2008. [4] M. Ferronato, C. Janna, G. Gambolati. "Mixed constraint preconditioning in computational contact mechanics", Computer Methods in Applied Mechanics and Engineering, 197, pp. 3922-3931, 2008. [5] C. Janna, M. Ferronato, G. Gambolati. "Multilevel incomplete factorizations for the iterative solution of non-linear FE problems". International Journal for Numerical Methods in Engineering, 80, pp. 651-670, 2009. [6] C. Janna, M. Ferronato, G. Gambolati. "A Block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems". SIAM Journal on Scientific Computing, 32, pp. 2468-2484, 2010. [7] C. Janna, A. Comerlati, G. Gambolati. "A comparison of projective and direct solvers for finite elements in elastostatics". Advances in Engineering Software, 40, pp. 675-685, 2009. [8] M. Ferronato, C. Janna, G. Pini. "Shifted FSAI preconditioners for the efficient parallel solution of non-linear groundwater flow models". International Journal for Numerical Methods in Engineering, to appear. -------------------------------------------------------------------------------- Cube_Coup_* and Long_Coup_* matrices: -------------------------------------------------------------------------------- Authors: Carlo Janna and Massimiliano Ferronato Cube_Coup_*: Symmetric Indefinite Matrix # equations: 2,164,760 # non-zeroes: 127,206,144 Problem description: Coupled consolidation problem The matrix Cube_Coup is obtained from a 3D coupled consolidation problem of a cube discretized with tetrahedral Finite Elements. The computational grid is characterized by regularly shaped elements. The copuled consolidation problem gives rise to a matrix having 4 unknowns associated to each node: the first three are displacement unknowns, the fourth is a pressure. Coupled consolidation is a transient problem with the matrix ill-conditioning strongly depending on the time step size. We provide a relatively simple problem, "dt0" with a time step size of 10^0 seconds, and a more difficult one, "dt6" with a time step of 10^6 seconds. The two Cube_Coup_* matrices are symmetric indefinite. Long_Coup_*: Symmetric Indefinite Matrix # equations: 1,470,152 # non-zeroes: 87,088,992 Problem description: Coupled consolidation problem The matrix Long_Coup is obtained from a 3D coupled consolidation problem of a geological formation discretized with tetrahedral Finite Elements. Due its complex geometry it was not possible to obtain a computational grid characterized by regularly shaped elements. The copuled consolidation problem gives rise to a matrix having 4 unknowns associated to each node: the first three are displacement unknowns, the fourth is a pressure. Coupled consolidation is a transient problem with the matrix ill-conditioning strongly depending on the time step size. We provide a relatively simple problem, "dt0" with a time step size of 10^0 seconds, and a more difficult one, "dt6" with a time step of 10^6 seconds. The two Long_Coup_* matrices are symmetric indefinite. Further information on the 4 matrices may be found in the following papers: 1) C. Janna, M. Ferronato, G. Gambolati. "Parallel inexact constraint preconditioning for ill-conditioned consolidation problems". Computational Geosciences, submitted. 2) M. Ferronato, L. Bergamaschi, G. Gambolati. "Performance and robustness of block constraint preconditioners in FE coupled consolidation problems". International Journal for Numerical Methods in Engineering, 81, pp. 381-402, 2010. 3) L. Bergamaschi, M. Ferronato, G. Gambolati. "Mixed constraint preconditioners for the iterative solution to FE coupled consolidation equations". Journal of Computational Physics, 227, pp. 9885-9897, 2008. 4) L. Bergamaschi, M. Ferronato, G. Gambolati. "Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations". Computer Methods in Applied Mechanics and Engineering, 196, pp. 2647-2656, 2007. -------------------------------------------------------------------------------- Janna/CoupCons3D -------------------------------------------------------------------------------- Authors: Carlo Janna, Massimiliano Ferronato Giorgio Pini Matrix type: Unsymmetric # equations: 416,800 # non-zeroes: 22,322,336 Problem description: Fully coupled poroelastic problem (structural problem) The matrix CoupCons3D has been obtained through a Finite Element transient simulation of a fully coupled consolidation problem on a three-dimensional domain using Finite Differences for the discretization in time. Further information can be found in the following papers: 1) M. Ferronato, G. Pini, and G. Gambolati. The role of preconditioning in the solution to FE coupled consolidation equations by Krylov subspace methods. International Journal for Numerical and Analytical Methods in Geomechanics 33 (2009), pp. 405-423. 2) M. Ferronato, C. Janna, and G. Pini. Parallel solution to ill-conditioned FE geomechanical problems. International Journal for Numerical and Analytical Methods in Geomechanics 36 (2012), pp. 422-437. 3) M. Ferronato, C. Janna and G. Pini. A generalized Block FSAI preconditioner for unsymmetric indefinite matrices. Journal of Computational and Applied Mathematics (2012), submitted. Authors: Carlo Janna, Massimiliano Ferronato, Giorgio Pini -------------------------------------------------------------------------------- Janna/ML_Laplace -------------------------------------------------------------------------------- Authors: Carlo Janna, Massimiliano Ferronato Giorgio Pini Matrix type: Unsymmetric # equations: 377,002 # non-zeroes: 27,689,972 Problem description: Poisson problem The matrix ML_Laplace has been obtained by discretizing a 2D Poisson equation with a Meshless Local Petrov-Galerkin method. Further information can be found in the following papers: 1) G. Pini, A. Mazzia, and F. Sartoretto. Accurate MLPG solution of 3D potential problems. CMES - Computer Modeling in Engineering & Sciences 36 (2008), pp. 43-64. 2) M. Ferronato, C. Janna and G. Pini. A generalized Block FSAI preconditioner for unsymmetric indefinite matrices. Journal of Computational and Applied Mathematics (2012), submitted. Authors: Carlo Janna, Massimiliano Ferronato, Giorgio Pini -------------------------------------------------------------------------------- Janna/Transport -------------------------------------------------------------------------------- Authors: Carlo Janna, Massimiliano Ferronato Giorgio Pini Matrix type: Unsymmetric # equations: 1,602,111 # non-zeroes: 23,500,731 Problem description: 3D Finite Element flow and transport The matrix Transport has been obtained by a FE tetrahedral discretization of a density driven coupled flow and transport. Further information can be found in the following papers: 1) A. Mazzia, and M. Putti. High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media. Journal of Computational Physics 208 (2005), pp. 154-174. 2) M. Ferronato, C. Janna and G. Pini. A generalized Block FSAI preconditioner for unsymmetric indefinite matrices. Journal of Computational and Applied Mathematics (2012), submitted. -------------------------------------------------------------------------------- Janna/ML_Geer -------------------------------------------------------------------------------- Authors: Carlo Janna, Massimiliano Ferronato, Giorgio Pini Matrix type: Unsymmetric # equations: 1,504,002 # non-zeroes: 110,879,972 Problem description: Poroelastic problem (structural problem) The matrix ML_Geer has been obtained to find through a Meshless Petrov-Galerkin discretization the deformed configuration of an axial-symmetric porous medium subject to a pore-pressure drawdown. Further information can be found in the following papers: 1) M. Ferronato, A. Mazzia, G. Pini, and G. Gambolati. A meshless method for axi-symmetric poroelastic simulations: numerical study. International Journal for Numerical Methods in Engineering 70 (2007), pp. 1346-1365. 2) M. Ferronato, C. Janna and G. Pini. A generalized Block FSAI preconditioner for unsymmetric indefinite matrices. Journal of Computational and Applied Mathematics (2012), submitted. -------------------------------------------------------------------------------- Bump_2991 -------------------------------------------------------------------------------- Matrix Name: Bump_2911 Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 2,911,419 # non-zeroes: 130,378,257 Problem description: 3D geomechanical reservoir simulation The matrix Bump_2911 is obtained from the 3D geomechanical simulation of a gas-reservoir discretized by linear tetrahedral Finite Elements. The mechanical properties of the medium vary with the depth and the geological formation. Zero displacement are applied on bottom and lateral boundary, while a traction-free top boundary is assumed. Further information may be found in the following papers: 1) C. Janna, M. Ferronato, G. Gambolati. "Enhanced Block FSAI preconditioning using Domain Decomposition techniques". SIAM Journal on Scientific Computing, 35, pp. S229-S249, 2013. 2) C. Janna, M. Ferronato, G. Gambolati. "The use of supernodes in factored sparse approximate inverse preconditioning". SIAM Journal on Scientific Computing, submitted. -------------------------------------------------------------------------------- Queen_4147 -------------------------------------------------------------------------------- Matrix Name: Queen_4147 Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 4,147,110 # non-zeroes: 329,499,288 Problem description: 3D structural problem The matrix Queen_4147 is obtained from the 3D discretizaion of a structural problem by isoparametric hexahedral Finite Elements. The solid material is strongly heterogeneous and several elements exhibit shape distortion thus producing an ill-conditioned stiffness matrix. Further information may be found in the following paper: 1) C. Janna, M. Ferronato, G. Gambolati. "The use of supernodes in factored sparse approximate inverse preconditioning". SIAM Journal on Scientific Computing, submitted. -------------------------------------------------------------------------------- PFlow_742 -------------------------------------------------------------------------------- Matrix Name: PFlow_742 Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 742,793 # non-zeroes: 37,138,461 Problem description: 3D pressure-temperature evolution in porous media The matrix PFlow_742 is obtained from a 3D simulation of the pressure-temperature field in a multilayered porous media discretized by hexahedral Finite Elements. The ill-conditioning of the matrix is due to the strong contrasts in the material properties fo different layers. Further information may be found in the following paper: 1) C. Janna, M. Ferronato, G. Gambolati. "The use of supernodes in factored sparse approximate inverse preconditioning". SIAM Journal on Scientific Computing, submitted. |
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Displaying

**all 18**collection matricesId | Name | Group | Rows | Cols | Nonzeros | Kind | Date | Download File |
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2659 | Bump_2911 | Janna | 2,911,419 | 2,911,419 | 127,729,899 | 2D/3D Problem | 2014 | MATLAB Rutherford Boeing Matrix Market |

2660 | Queen_4147 | Janna | 4,147,110 | 4,147,110 | 316,548,962 | 2D/3D Problem | 2014 | MATLAB Rutherford Boeing Matrix Market |

2661 | PFlow_742 | Janna | 742,793 | 742,793 | 37,138,461 | 2D/3D Problem | 2014 | MATLAB Rutherford Boeing Matrix Market |

2549 | Cube_Coup_dt6 | Janna | 2,164,760 | 2,164,760 | 124,406,070 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2649 | Transport | Janna | 1,602,111 | 1,602,111 | 23,487,281 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2647 | CoupCons3D | Janna | 416,800 | 416,800 | 17,277,420 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2548 | Cube_Coup_dt0 | Janna | 2,164,760 | 2,164,760 | 124,406,070 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2550 | Long_Coup_dt0 | Janna | 1,470,152 | 1,470,152 | 84,422,970 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2551 | Long_Coup_dt6 | Janna | 1,470,152 | 1,470,152 | 84,422,970 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2650 | ML_Geer | Janna | 1,504,002 | 1,504,002 | 110,686,677 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2648 | ML_Laplace | Janna | 377,002 | 377,002 | 27,582,698 | Structural Problem | 2012 | MATLAB Rutherford Boeing Matrix Market |

2547 | StocF-1465 | Janna | 1,465,137 | 1,465,137 | 21,005,389 | Computational Fluid Dynamics Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2542 | Emilia_923 | Janna | 923,136 | 923,136 | 40,373,538 | Structural Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2544 | Flan_1565 | Janna | 1,564,794 | 1,564,794 | 114,165,372 | Structural Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2545 | Geo_1438 | Janna | 1,437,960 | 1,437,960 | 60,236,322 | Structural Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2546 | Hook_1498 | Janna | 1,498,023 | 1,498,023 | 59,374,451 | Structural Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2543 | Fault_639 | Janna | 638,802 | 638,802 | 27,245,944 | Structural Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2541 | Serena | Janna | 1,391,349 | 1,391,349 | 64,131,971 | Structural Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |