SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

International Journal for Numerical Methods in Engineering

Volumn 55, Issue 5, 2002, Pages 519-534

Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics

(1) Adams, Mark a

a SANDIA NATIONAL LABORATORIES (United States)

Author keywords

Algebraic multigrid; Finite element solvers; Parallel sparse solvers; Unstructured multigrid

Indexed keywords

ELASTICITY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD;

MULTIGRIDS;

NUMERICAL METHODS;

FINITE ELEMENT ANALYSIS;

EID: 0037145312 PISSN: 00295981 EISSN: None Source Type: Journal
DOI: 10.1002/nme.506 Document Type: Article

Times cited : (74)

References (41)

1
- 0004219794
- Longman Scientific and Technical: New York
- (1993) Multigrid Methods
- Bramble, J.H.¹

2
- 84966225317
- An optimal order process for solving finite element equations
- (1981) Mathematics of Computation , vol.36 , pp. 35-51
- Bank, R.E.¹ Dupont, T.²

3
- 0004290756
- Cambridge University Press: Cambridge
- (1996) Domain Decomposition
- Smith, B.¹ Bjorstad, P.² Gropp, W.³

4
- 0034225414
- Parallel multigrid solvers for 3D unstructured finite element problems in large deformation elasticity and plasticity
- (2000) International Journal for Numerical Methods in Engineering , vol.48 , Issue.8 , pp. 1241-1262
- Adams, M.F.¹

5
- 0011222896
- Edge-based multigrid schemes for hybrid grids
- Baines MJ (ed.), ICFD
- (1998) Numerical Methods for Fluid Dynamics VI
- Muller, J.D.¹ Giles, M.B.²

6
- 0031142878
- A non-nested multigrid method for solving linear and nonlinear solid mechanics problems
- (1997) Computational Methods in Mechanical Engineering , vol.144 , pp. 307-325
- Feng, Y.T.¹ Peric, D.² Owen, D.R.J.³

7
- 0000907437
- An efficient multilevel solution scheme for large scale non-linear systems
- (1995) International Journal for Numerical Methods in Engineering , vol.38 , pp. 1597-1610
- Fish, J.¹ Pandheeradi, M.² Belsky, V.³

8
- 0030130204
- Unstructured multigrid method for shells
- (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 1181-1197
- Fish, J.¹ Belsky, V.² Gomma, S.³

9
- 38249006666
- A parallel multigrid method for history-dependent elastoplasticity computations
- (1993) Computer Methods in Applied Mechanics and Engineering , vol.108 , pp. 1-21
- Kacau, S.¹ Parsons, I.D.²

10
- 2342581826
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- (1995) 7th Copper Mountain Conference on Multigrid Methods
- Vaněk, P.¹ Mandel, J.² Brezina, M.³

11
- 0029391976
- High-performance multilevel iterative aggregation solver for large finite-element structural analysis problems
- (1995) International Journal for Numerical Methods in Engineering , vol.38 , pp. 3529-3544
- Bulgakov, V.E.¹ Kuhn, G.²

12
- 0031383664
- Generalized aggregation multilevel solver
- (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 4341-4361
- Fish, J.¹ Belsky, V.²

13
- 0034770470
- Algebraic multigrid based on element interpolation (AMGe)
- (2000) SIAM Journal of Scientific Computing , vol.22 , pp. 1570-1592
- Brezina, M.¹ Cleary, A.² Falgout, R.³ Henson, V.E.⁴ Jones, J.⁵ Manteuffel, M.⁶ McCormick, S.⁷ Ruge, J.⁸

14
- 0041034172
- Convergence of algebraic multigrid based on smoothed aggregation
- (2001) Numerische Mathematik , vol.88 , pp. 559-579
- Vaněk, P.¹ Mandel, J.² Brezina, M.³

15
- 0003723398
- Technical Report 1898, Institute National de Recherche en Informatique et en Automatique
- (1993) Node-nested Multigrid with Delaunay Coarsening
- Guillard, H.¹

16
- 0009563762
- Multi-grid and domain decomposition on unstructured grids
- Keyes DE, Xu J (eds), AMS, 1995. A revised version of this paper appeared in ETNA December
- (1994) Seventh Annual International Conference on Domain Decomposition Methods in Scientific and Engineering Computing , vol.2 , pp. 171-182
- Chan, T.F.¹ Smith, B.F.²

17
- 84966233568
- Multi-level adaptive solutions to boundary value problems
- (1977) Mathematics of Computation , vol.31 , pp. 333-390
- Brandt, A.¹

18
- 0021416106
- Multi-grid algorithms with applications to elliptic boundary-value problems
- (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 236-254
- Douglas, C.C.¹

19
- 0001927250
- Algebraic multigrid theory: The symmetric case
- (1986) Applied Mathematics and Computation , vol.19 , pp. 23-56
- Brandt, A.¹

20
- 0004252812
- Chapter 4. SIAM: Philadelphia
- (1987) Multigrid Methods , pp. 73-130
- Ruge, J.¹ Stüben, K.²

21
- 0003815501
- Springer: Berlin
- (1985) Multi-grid Methods and Applications
- Hackbusch, W.¹

22
- 84966232695
- The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms
- (1991) Mathematics of Computation , vol.56 , Issue.193 , pp. 1-34
- Bramble, J.H.¹ Pasciak, J.E.² Xu, J.³

23
- 0003515955
- Algebraic multigrid on unstructured meshes
- Center for Computational Mathematics, University of Colorado at Denver, December
- (1994) UCD/CCM Report 34
- Vaněk, P.¹ Mandel, J.² Brezina, M.³

24
- 0003749961
- Ph.D. Thesis, University of Colorado at Denver, Denver, CO 80217-3364
- (1997) Robust Iterative Solvers on Unstructured Meshes
- Brezina, M.¹

25
- 84966240318
- Optimal-order nonnested multigrid methods for solving finite element equations I: On quasi-uniform meshes
- (1990) Mathematics of Computation , vol.55 , pp. 23-36
- Zhang, S.¹

26
- 84966235835
- Optimal-order nonnested multigrid methods for solving finite element equations II: On non-quasi-uniform meshes
- (1990) Mathematics of Computation , vol.55 , pp. 439-450
- Zhang, S.¹

27
- 0003424372
- SIAM: Philadelphia
- (1997) Applied Numerical Linear Algebra
- Demmel, J.¹

28
- 0041145765
- A parallel maximal independent set algorithm
- (1998) Proceedings 5th Copper Countain Conference on Iterative Methods
- Adams, M.F.¹

29
- 0026239487
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- (1991) International Journal for Numerical Methods in Engineering , vol.32 , pp. 1205-1227
- Farhat, C.¹ Roux, F.-X.²

30
- 0004096847
- Technical Report 125, UCD/CCM, February
- (1998) Energy Optimization of Algebraic Multigrid Bases
- Mandel, J.¹ Brezina, M.² Vaněk, P.³

31
- 0010474756
- Technical Report 97-18, UCLA April Department of Mathematics
- (1997) An Energy Minimizing Interpolation for Multigrid Methods
- Wan, W.L.¹

32
- 0032595435
- Directional agglomeration multigrid techniques for high-Reynolds number viscous flows
- (1999) AIAA Journal , vol.37 , Issue.10 , pp. 1222-1230
- Mavriplis, D.J.¹

33
- 0000090659
- A semicoarsening multigrid algorithm for SIMD machines
- (1992) SIAM Journal on Scientific and Statistical Computing , vol.13 , pp. 1460-1469
- Dendy, J.E.¹ Ida, M.P.² Rutledge, J.M.³

34
- 0003561904
- Parallel multilevel k-way partitioning scheme for irregular graphs
- (1996) ACM/IEEE Proceedings of SC96: High Performance Networking and Computing
- Karypis, G.¹ Kumar, V.²

35
- 2142808945
- FEAP

36
- 2142649391
- Prometheus

37
- 0003733850
- Technical Report, Argonne National Laboratory
- (1996) PETSc 2.0 Users Manual
- Balay, S.¹ Gropp, W.D.² McInnes, L.C.³ Smith, B.F.⁴

38
- 0001989713
- Finite element analysis of linear shell problems
- Whitman JR (ed.). Academic Press: London
- (1988) The Mathematics of Finite Elements and Applications VI , pp. 191-203
- Taylor, R.L.¹

39
- 2142652316
- IBM

40
- 2142697354
- A distributed memory unstructured Gauss-Seidel algorithm for multigrid smoothers
- (2001) ACM/IEEE Proceedings of SC01: High Performance Networking and Computing
- Adams, M.F.¹

41
- 0041145766
- Ph.D. Dissertation, University of California, Berkeley, Technical Report UCB//CSD-99-1033
- (1998) Multigrid Equation Solvers for Large Scale Nonlinear Finite Element Stimulations
- Adams, M.F.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.