메뉴 건너뛰기




Volumn 49, Issue 3, 2009, Pages 191-215

An efficient parallel MLPG method for poroelastic models

Author keywords

Meshless method; Parallel computations; Poroelasticity; Preconditioners; Scalability

Indexed keywords

AXISYMMETRIC; DISCRETIZATIONS; LAND SUBSIDENCE; MESH-LESS METHODS; MESHLESS LOCAL PETROV-GALERKIN APPROACHES; MESHLESS MODEL; MLPG METHOD; PARALLEL CODE; PARALLEL COMPUTATION; PARALLEL EFFICIENCY; PORO-ELASTICITY; POROELASTIC; POROELASTIC MODEL; PRECONDITIONED ITERATIVE METHODS; PRECONDITIONERS; REALISTIC APPLICATIONS; SOLUTION PHASE;

EID: 76449083123     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (21)

References (39)
  • 2
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local petrov galerkin (MLPG) method: A simple & less-costly alternative to the finite element and boundary element methods
    • Atluri S. N., Shen S. (2002b) The Meshless Local Petrov Galerkin (MLPG) Method: A simple & less-costly alternative to the finite element and boundary element methods, CMES: Computer Modeling in Engineering & Sciences, 3 (1) pp. 11-51.
    • (2002) CMES: Computer Modeling in Engineering & Sciences , vol.3 , Issue.1 , pp. 11-51
    • Atluri, S.N.1    Shen, S.2
  • 3
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local petrov-galerkin (MLPG) approach in computational mechanics
    • Atluri S. N., Zhu T. (1998) A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics, 22, pp. 117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 6
    • 0034889465 scopus 로고    scopus 로고
    • Robust approximate inverse preconditioning for the conjugate gradient method
    • Benzi M., Cullum J. K., Tůma M. (2000) Robust approximate inverse preconditioning for the conjugate gradient method, SIAM J. Sci. Comput., 22, pp. 1318-1332.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 1318-1332
    • Benzi, M.1    Cullum, J.K.2    Tůma, M.3
  • 7
    • 0001135947 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for nonsymmetric linear systems
    • Benzi M., Tůma M. (1998) A sparse approximate inverse preconditioner for nonsymmetric linear systems, SIAM J. Sci. Comput., 19, pp. 968-994.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 968-994
    • Benzi, M.1    Tůma, M.2
  • 8
    • 0033149240 scopus 로고    scopus 로고
    • A comparative study of sparse approximate inverse preconditioners
    • Benzi M., Tůma M. (1999) A comparative study of sparse approximate inverse preconditioners, Applied Numerical Mathematics, 30, pp. 305-340.
    • (1999) Applied Numerical Mathematics , vol.30 , pp. 305-340
    • Benzi, M.1    Tůma, M.2
  • 9
    • 34848814418 scopus 로고    scopus 로고
    • A numerical study of inverse preconditioning for the parallel iterative solution to 3d finite element flow equations
    • Bergamaschi L., Gambolati G., Pini G. (2007) A numerical study of inverse preconditioning for the parallel iterative solution to 3d finite element flow equations, J. Comput. Appl. Math., 210, pp. 64-70.
    • (2007) J. Comput. Appl. Math. , vol.210 , pp. 64-70
    • Bergamaschi, L.1    Gambolati, G.2    Pini, G.3
  • 11
    • 24144470732 scopus 로고    scopus 로고
    • Parallel acceleration of krylov solvers by factorized approximate inverse preconditioners
    • M.Daydè et al., ed.Heidelberg, Springer-Verlag
    • Bergamaschi L., Martínez A. (2005b) Parallel acceleration of Krylov solvers by factorized approximate inverse preconditioners, in VECPAR 2004, M. Daydè et al., ed., vol.3402 of Lecture Notes in Computer Sciences, Heidelberg, Springer-Verlag, pp. 623-636.
    • (2005) VECPAR 2004, vol.3402 of Lecture Notes in Computer Sciences , vol.3402 , pp. 623-636
    • Bergamaschi, L.1    Martínez, A.2
  • 12
    • 0000882148 scopus 로고    scopus 로고
    • The method of finite spheres
    • De S., Bathe K.J. (2000) The method of finite spheres. Computational Mechanics, 25: pp. 329-345.
    • (2000) Computational Mechanics , vol.25 , pp. 329-345
    • De, S.1    Bathe, K.J.2
  • 14
    • 36448961958 scopus 로고    scopus 로고
    • Casing influence in reservoir compaction measurement by radioactive markers in the Northern Adriatic, Italy
    • Ferronato M., Gambolati G., Teatini P., Janna C. (2007) Casing influence in reservoir compaction measurement by radioactive markers in the Northern Adriatic, Italy International Journal of Geomechanics 7, pp. 444-447.
    • (2007) International Journal of Geomechanics , vol.7 , pp. 444-447
    • Ferronato, M.1    Gambolati, G.2    Teatini, P.3    Janna, C.4
  • 16
    • 76449096959 scopus 로고    scopus 로고
    • Accuracy and performance of meshless local petrov-galerkin methods in 2-D elastostatic problems
    • Ferronato M., Mazzia A., Pini G., Gambolati G. (2008) Accuracy and performance of Meshless Local Petrov-Galerkin methods in 2-D elastostatic problems. JP Journal of Solids and Structures, vol.1, pp. 34-53.
    • (2008) JP Journal of Solids and Structures , vol.1 , pp. 34-53
    • Ferronato, M.1    Mazzia, A.2    Pini, G.3    Gambolati, G.4
  • 17
    • 0016321202 scopus 로고
    • Second-order theory of flow in three-dimensional deforming media
    • Gambolati G. (1974) Second-order theory of flow in three-dimensional deforming media. Water Resources Research, 10: pp. 1217-1228.
    • (1974) Water Resources Research , vol.10 , pp. 1217-1228
    • Gambolati, G.1
  • 18
    • 0033856164 scopus 로고    scopus 로고
    • Importance of poroelastic coupling in dynamically active aquifers of the Po river basin, Italy
    • Gambolati G., Teatini P., Baù D., Ferronato M. (2000) Importance of poroelastic coupling in dynamically active aquifers of the Po river basin, Italy. Water Resources Research, 36: pp. 2443-2459.
    • (2000) Water Resources Research , vol.36 , pp. 2443-2459
    • Gambolati, G.1    Teatini, P.2    Baù, D.3    Ferronato, M.4
  • 20
    • 0015638577 scopus 로고
    • Land subsidence above compacting oil and gas reservoirs
    • Geertsma J. (1973) Land subsidence above compacting oil and gas reservoirs. Journal of Petroleum Technology, 25: pp. 734-744.
    • (1973) Journal of Petroleum Technology , vol.25 , pp. 734-744
    • Geertsma, J.1
  • 21
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • Grote M. J., Huckle T. (1997) Parallel preconditioning with sparse approximate inverses, SIAM J. Sci. Comput., 18, pp. 838-853.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 838-853
    • Grote, M.J.1    Huckle, T.2
  • 22
    • 62449180933 scopus 로고    scopus 로고
    • Analysis of rectangular square plates by the mixed meshless local petrov-galerkin (MLPG) approach
    • Jarak T., Soric J. (2008) Analysis of rectangular square plates by the mixed Meshless Local Petrov-Galerkin (MLPG) approach. CMES: Computer Modeling in Engineering & Sciences, 38 (3), pp. 231-262.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.38 , Issue.3 , pp. 231-262
    • Jarak, T.1    Soric, J.2
  • 23
    • 84985376638 scopus 로고
    • New convergence results and preconditioning strategies for the conjugate gradient method
    • Kaporin I. E. (1994) New convergence results and preconditioning strategies for the conjugate gradient method, Numer. Lin. Alg. Appl., 1, pp. 179-210.
    • (1994) Numer. Lin. Alg. Appl. , vol.1 , pp. 179-210
    • Kaporin, I.E.1
  • 24
    • 0033269772 scopus 로고    scopus 로고
    • Factorized sparse approximate inverse preconditionings IV. Simple approaches to rising efficiency
    • Kolotilina L., Nikishin A. A., Yeremin A. (1999) Factorized sparse approximate inverse preconditionings IV. Simple approaches to rising efficiency, Numer. Lin. Alg. Appl., 6, pp. 515-531.
    • (1999) Numer. Lin. Alg. Appl. , vol.6 , pp. 515-531
    • Kolotilina, L.1    Nikishin, A.A.2    Yeremin, A.3
  • 25
    • 21144474663 scopus 로고
    • Factorized sparse approximate inverse preconditionings I. Theory
    • Kolotilina L., Yeremin A. (1993) Factorized sparse approximate inverse preconditionings I. Theory, SIAM J. Matrix Anal., 14, pp. 45-58.
    • (1993) SIAM J. Matrix Anal. , vol.14 , pp. 45-58
    • Kolotilina, L.1    Yeremin, A.2
  • 27
    • 39349096488 scopus 로고    scopus 로고
    • A new meshless interpolation scheme for MLPG-R method
    • Ma Q. W. (2008) A New Meshless Interpolation Scheme for MLPG-R Method. CMES: Computer Modeling in Engineering & Sciences, 23 (2), pp. 75-90.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.23 , Issue.2 , pp. 75-90
    • Ma, Q.W.1
  • 28
    • 67349229829 scopus 로고    scopus 로고
    • A massively parallel exponential integrator for advection-diffusion models
    • Martínez Á., Bergamaschi L., Caliari M., Vianello M. (2009) A massively parallel exponential integrator for advection-diffusion models. J. Comput. Appl. Math., 231 (1), pp. 82-91.
    • (2009) J. Comput. Appl. Math. , vol.231 , Issue.1 , pp. 82-91
    • Martínez, Á.1    Bergamaschi, L.2    Caliari, M.3    Vianello, M.4
  • 29
    • 0037259113 scopus 로고    scopus 로고
    • Prefiltration technique via aggregation for constructing low density high quality factorized sparse approximate inverse preconditionings
    • Nikishin A. A., Yeremin A. (2003) Prefiltration technique via aggregation for constructing low density high quality factorized sparse approximate inverse preconditionings., Numer. Lin. Alg. Appl., 10, pp. 235-246.
    • (2003) Numer. Lin. Alg. Appl. , vol.10 , pp. 235-246
    • Nikishin, A.A.1    Yeremin, A.2
  • 33
    • 56849098587 scopus 로고    scopus 로고
    • Analysis of transient heat conduction in 3d anisotropic functionally graded solids, by the MLPG method
    • Sladek J., Sladek V., Tan C. L., Atluri S. N. (2008b) Analysis of Transient Heat Conduction in 3D Anisotropic Functionally Graded Solids, by the MLPG Method CMES: Computer Modeling in Engineering & Sciences, 32 (3), pp. 161-174.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.32 , Issue.3 , pp. 161-174
    • Sladek, J.1    Sladek, V.2    Tan, C.L.3    Atluri, S.N.4
  • 34
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H. A. (1992) Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing, 13: pp. 631-644.
    • (1992) SIAM Journal of Scientific and Statistical Computing , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 35
    • 0002172826 scopus 로고
    • Elastic storage of aquifers
    • R.J.M. De Wiest, editor, Academic Press, New York (NY)
    • Verruijt A. (1969) Elastic storage of aquifers. In R. J. M. De Wiest, editor, Flow Through Porous Media, pp. 331-376. Academic Press, New York (NY).
    • (1969) Flow Through Porous Media , pp. 331-376
    • Verruijt, A.1
  • 36
    • 0033465031 scopus 로고    scopus 로고
    • Meshless Galerkin methods using radial basis function
    • Wendland H. (1999) Meshless Galerkin methods using radial basis function. Mathematics of Computation, 68: pp. 1521-1531.
    • (1999) Mathematics of Computation , vol.68 , pp. 1521-1531
    • Wendland, H.1
  • 38
    • 34247138682 scopus 로고    scopus 로고
    • A new quasi-unsymmetric sparse linear systems solver for meshless local petrov-galerkin method (MLPG)
    • Yuan W., Chen Y., Liu K. (2007) A New Quasi-Unsymmetric Sparse Linear Systems Solver for Meshless Local Petrov-Galerkin Method (MLPG). CMES: Computer Modeling in Engineering & Sciences, 17 (2), pp. 115-134.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.17 , Issue.2 , pp. 115-134
    • Yuan, W.1    Chen, Y.2    Liu, K.3
  • 39
    • 67649935717 scopus 로고    scopus 로고
    • A finite volume meshless local petrov-galerkin method for topology optimization design of the continuum structures
    • Zheng J., Long S., Xiong Y., Li G. (2009) A Finite Volume Meshless Local Petrov-Galerkin Method for Topology Optimization Design of the Continuum Structures. CMES: Computer Modeling in Engineering & Sciences, 42 (1), pp. 19-34.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.42 , Issue.1 , pp. 19-34
    • Zheng, J.1    Long, S.2    Xiong, Y.3    Li, G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.