A parallel sparse algorithm targeting arterial fluid mechanics computations

Computational Mechanics

Volumn 48, Issue 3, 2011, Pages 377-384

  Manguoglu, Murat ^a   Takizawa, Kenji ^b   Sameh, Ahmed H ^c   Tezduyar, Tayfun E ^d  

^a MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

^b WASEDA UNIVERSITY   (Japan)

^c Purdue University   (United States)

^d Rice University   (United States)

Author keywords

Arterial fluid mechanics; Boundary layer mesh refinement; Incompressible flow; Nested iterative methods; Parallel sparse algorithms; Preconditioning techniques

Indexed keywords

BOUNDARY LAYERS; ELASTICITY; FLUID MECHANICS; FLUID STRUCTURE INTERACTION; INCOMPRESSIBLE FLOW; LINEAR EQUATIONS; MECHANICS; MESH GENERATION; NONLINEAR EQUATIONS; SHEAR FLOW; SHEAR STRESS;

COMPUTATIONAL DOMAINS; FLUID STRUCTURE INTERACTION COMPUTATIONS; LINEAR EQUATION SYSTEM; MESH REFINEMENT; NESTED ITERATIVE METHODS; NONLINEAR ITERATIONS; PRECONDITIONING TECHNIQUES; SPARSE ALGORITHMS;

ITERATIVE METHODS;

EID: 80052649239     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-011-0619-0     Document Type: Conference Paper

References (102)

1. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2004 Influence of wall elasticity on image-based blood flow simulation Jpn Soc Mech Eng J Ser A 70 1224 1231 (in Japanese)
2. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2006 Computer modeling of cardiovascular fluid-structure interactions with the Deforming-Spatial- Domain/Stabilized Space-Time formulation Comput Methods Appl Mech Eng 195 1885 1895 10.1016/j.cma.2005.05.050 2203997 1178.76241 10.1016/j.cma.2005.05.050 (Pubitemid 43116279)
3. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2006 Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures Comput Mech 38 482 490 10.1007/s00466-006-0065-6 1160.76061 10.1007/s00466-006-0065-6 (Pubitemid 43967455)
4. Y Bazilevs VM Calo Y Zhang TJR Hughes 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow Comput Mech 38 310 322 2246128 1161.74020 10.1007/s00466-006-0084-3 (Pubitemid 43970670)
5. TE Tezduyar S Sathe T Cragin B Nanna BS Conklin J Pausewang M Schwaab 2007 Modeling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics Int J Numer Methods Fluids 54 901 922 10.1002/fld.1443 2333014 05169598 10.1002/fld.1443 (Pubitemid 47009684)
6. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2007 Influence of wall elasticity in patient-specific hemodynamic simulations Comput Fluids 36 160 168 10.1016/j.compfluid.2005.07.014 1113.76105 10.1016/j.compfluid.2005.07.014 (Pubitemid 44615426)
7. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2007 Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm-dependence of the effect on the aneurysm shape Int J Numer Methods Fluids 54 995 1009 10.1002/fld.1497 2333018 05169602 10.1002/fld.1497 (Pubitemid 47009688)
8. Y Bazilevs VM Calo TE Tezduyar TJR Hughes 2007 YZ β discontinuity-capturing for advection-dominated processes with application to arterial drug delivery Int J Numer Methods Fluids 54 593 608 10.1002/fld.1484 2333001 1207.76049 10.1002/fld.1484 (Pubitemid 47009670)
9. TE Tezduyar S Sathe M Schwaab BS Conklin 2008 Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique Int J Numer Methods Fluids 57 601 629 10.1002/fld.1633 2419893 05320760 10.1002/fld.1633
10. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2008 Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling Comput Mech 43 151 159 10.1007/s00466-008-0325-8 1169.74032 10.1007/s00466-008-0325-8
11. Y Bazilevs VM Calo TJR Hughes Y Zhang 2008 Isogeometric fluid-structure interaction: theory, algorithms, and computations Comput Mech 43 3 37 2443159 1169.74015 10.1007/s00466-008-0315-x
12. JG Isaksen Y Bazilevs T Kvamsdal Y Zhang JH Kaspersen K Waterloo B Romner T Ingebrigtsen 2008 Determination of wall tension in cerebral artery aneurysms by numerical simulation Stroke 39 3172 3178 10.1161/STROKEAHA.107.503698
13. JP Maynard P Nithiarasu 2008 A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method Commun Numer Methods Eng 24 367 417 10.1002/cnm.1117 (Pubitemid 351802736)
14. TE Tezduyar M Schwaab S Sathe 2009 Sequentially-Coupled Arterial Fluid-Structure Interaction (SCAFSI) technique Comput Methods Appl Mech Eng 198 3524 3533 10.1016/j.cma.2008.05.024 2571820 05634688 10.1016/j.cma.2008.05.024
15. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2009 Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes Comput Methods Appl Mech Eng 198 3613 3621 10.1016/j.cma.2008.08.020 2571825 05634694 10.1016/j.cma.2008.08.020
16. Y Bazilevs JR Gohean TJR Hughes RD Moser Y Zhang 2009 Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device Comput Methods Appl Mech Eng 198 3534 3550 2571821 05634689 10.1016/j.cma.2009.04.015
17. Y Bazilevs M.-C Hsu D Benson S Sankaran A Marsden 2009 Computational fluid-structure interaction: methods and application to a total cavopulmonary connection Comput Mech 45 77 89 2546594 05641588 10.1007/s00466-009-0419-y
18. K Takizawa J Christopher TE Tezduyar S Sathe 2010 Space-time finite element computation of arterial fluid-structure interactions with patient-specific data Int J Numer Methods Biomed Eng 26 101 116 10.1002/cnm.1241 1180.92023 10.1002/cnm.1241
19. TE Tezduyar K Takizawa C Moorman S Wright J Christopher 2010 Multiscale sequentially-coupled arterial FSI technique Comput Mech 46 17 29 10.1007/s00466-009-0423-2 2644393 05723635 10.1007/s00466-009-0423-2
20. K Takizawa C Moorman S Wright J Christopher TE Tezduyar 2010 Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions Comput Mech 46 31 41 10.1007/s00466-009-0425-0 2644394 05723636 10.1007/s00466-009-0425-0
21. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2010 Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms Int J Numer Methods Biomed Eng 26 336 347 10.1002/cnm.1289 2655869 1183.92050 10.1002/cnm.1289
22. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2010 Role of 0D peripheral vasculature model in fluid-structure interaction modeling of aneurysms Comput Mech 46 43 52 10.1007/s00466-009-0439-7 05723641 10.1007/s00466-009-0439-7
23. Y Bazilevs M.-C Hsu Y Zhang W Wang X Liang T Kvamsdal R Brekken J Isaksen 2010 A fully-coupled fluid-structure interaction simulation of cerebral aneurysms Comput Mech 46 3 16 2644392 05723634 10.1007/s00466-009-0421-4
24. Y Bazilevs M.-C Hsu Y Zhang Y Wang T Kvamsdal S Hentschel J Isaksen 2010 Computational fluid-structure interaction: methods and application to cerebral aneurysms Biomech Model Mechanobiol 9 481 498 10.1007/s10237-010-0189-7
25. Y Bazilevs JC del Alamo JD Humphrey 2010 From imaging to prediction: emerging non-invasive methods in pediatric cardiology Prog Pediatr Cardiol 30 81 89 10.1016/j.ppedcard.2010.09.010
26. F Mut R Aubry R Lohner JR Cebral 2010 Fast numerical solutions of patient-specific blood flows in 3D arterial systems Int J Numer Methods Biomed Eng 26 73 85 1180.92022 10.1002/cnm.1235
27. Bevan RLT, Nithiarasu P, Loon RV, Sazanov RV, Luckraz H, Garnham A (2010) Application of a locally conservative Galerkin (LCG) method for modelling blood flow through a patient-specific carotid bifurcation. Int J Numer Methods Fluids (published online). doi: 10.1002/fld.2313, March 2010
28. Chitra K, Sundararajan T, Vengadesan S, Nithiarasu P (2010) "Non-Newtonian blood flow study in a model cavopulmonary vascular system". Int J Numer Methods Fluids (published online). doi: 10.1002/fld.2256, March 2010
29. Cebral JR, Mut F, Sforza D, Lohner R, Scrivano E, Lylyk P, Putnam C (2010) Clinical application of image-based cfd for cerebral aneurysms. Int J Numer Methods Biomed Eng (published online) doi: 10.1002/cnm.1373, March 2010
30. K Takizawa C Moorman S Wright J Purdue T McPhail PR Chen J Warren TE Tezduyar 2011 Patient-specific arterial fluid-structure interaction modeling of cerebral aneurysms Int J Numer Methods Fluids 65 308 323 10.1002/fld.2360 1203.92044 10.1002/fld.2360
31. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2011 Influencing factors in image-based fluid-structure interaction computation of cerebral aneurysms Int J Numer Methods Fluids 65 324 340 10.1002/fld.2448 1203.92045 10.1002/fld.2448
32. Tezduyar TE, Takizawa K, Brummer T, Chen PR (2011) Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. Int J Numer Methods Biomed Eng (published online) doi: 10.1002/cnm.1433, February 2011
33. Takizawa K, Brummer T, Tezduyar TE, Chen PR (2011) A comparative study based on patient-specific fluid-structure interaction modeling of cerebral aneurysms. J Appl Mech (2011) (to appear)
34. TJR Hughes WK Liu TK Zimmermann 1981 Lagrangian-Eulerian finite element formulation for incompressible viscous flows Comput Methods Appl Mech Eng 29 329 349 659925 0482.76039 10.1016/0045-7825(81)90049-9 (Pubitemid 12509257)
35. T Tezduyar S Aliabadi M Behr A Johnson S Mittal 1993 Parallel finite-element computation of 3D flows Computer 26 27 36 10.1109/2.237441 10.1109/2.237441
36. M Behr A Johnson J Kennedy S Mittal T Tezduyar 1993 Computation of incompressible flows with implicit finite element implementations on the connection machine Comput Methods Appl Mech Eng 108 99 118 10.1016/0045-7825(93) 90155-Q 1239934 0784.76046 10.1016/0045-7825(93)90155-Q
37. TE Tezduyar SK Aliabadi M Behr S Mittal 1994 Massively parallel finite element simulation of compressible and incompressible flows Comput Methods Appl Mech Eng 119 157 177 10.1016/0045-7825(94)00082-4 0848.76040 10.1016/0045-7825(94)00082-4 (Pubitemid 289947)
38. S Mittal TE Tezduyar 1994 Massively parallel finite element computation of incompressible flows involving fluid-body interactions Comput Methods Appl Mech Eng 112 253 282 10.1016/0045-7825(94)90029-9 1263288 0846.76048 10.1016/0045-7825(94)90029-9 (Pubitemid 278032)
39. S Mittal TE Tezduyar 1995 Parallel finite element simulation of 3D incompressible flows-fluid-structure interactions Int J Numer Methods Fluids 21 933 953 10.1002/fld.1650211011 0873.76047 10.1002/fld.1650211011
40. SK Aliabadi TE Tezduyar 1995 Parallel fluid dynamics computations in aerospace applications Int J Numer Methods Fluids 21 783 805 10.1002/fld.1650211003 1368694 0862.76033 10.1002/fld.1650211003
41. T Tezduyar S Aliabadi M Behr A Johnson V Kalro M Litke 1996 Flow simulation and high performance computing Comput Mech 18 397 412 10.1007/BF00350249 0893.76046 10.1007/BF00350249 (Pubitemid 126545878)
42. AA Johnson TE Tezduyar 1997 Parallel computation of incompressible flows with complex geometries Int J Numer Methods Fluids 24 1321 1340 10.1002/(SICI)1097-0363(199706)24:12<1321::AID-FLD562>3.3.CO;2-C 0882.76044 10.1002/(SICI)1097-0363(199706)24:12<1321::AID-FLD562>3.0.CO;2- L
43. AA Johnson TE Tezduyar 1999 Advanced mesh generation and update methods for 3D flow simulations Comput Mech 23 130 143 10.1007/s004660050393 0949.76049 10.1007/s004660050393
44. M Behr T Tezduyar 1999 The Shear-Slip Mesh Update Method Comput Methods Appl Mech Eng 174 261 274 10.1016/S0045-7825(98)00299-0 0959.76037 10.1016/S0045-7825(98)00299-0 (Pubitemid 29421320)
45. V Kalro TE Tezduyar 2000 A parallel 3D computational method for fluid-structure interactions in parachute systems Comput Methods Appl Mech Eng 190 321 332 10.1016/S0045-7825(00)00204-8 0993.76044 10.1016/S0045-7825(00) 00204-8
46. K Stein R Benney V Kalro TE Tezduyar J Leonard M Accorsi 2000 Parachute fluid-structure interactions: 3-D computation Comput Methods Appl Mech Eng 190 373 386 10.1016/S0045-7825(00)00208-5 0973.76055 10.1016/S0045-7825(00)00208-5
47. TE Tezduyar 2001 Finite element methods for flow problems with moving boundaries and interfaces Arch Comput Methods Eng 8 83 130 10.1007/BF02897870 1039.76037 10.1007/BF02897870 (Pubitemid 33679846)
48. T Tezduyar Y Osawa 2001 Fluid-structure interactions of a parachute crossing the far wake of an aircraft Comput Methods Appl Mech Eng 191 717 726 10.1016/S0045-7825(01)00311-5 1113.76407 10.1016/S0045-7825(01)00311-5 (Pubitemid 34004498)
49. K Stein R Benney T Tezduyar J Potvin 2001 Fluid-structure interactions of a cross parachute: numerical simulation Comput Methods Appl Mech Eng 191 673 687 10.1016/S0045-7825(01)00312-7 0999.76085 10.1016/S0045-7825(01)00312-7 (Pubitemid 34004496)
50. R Ohayon 2001 Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems Comput Methods Appl Mech Eng 190 3009 3019 0971.74032 10.1016/S0045-7825(00)00379-0 (Pubitemid 32386244)
51. K Stein T Tezduyar R Benney 2003 Mesh moving techniques for fluid-structure interactions with large displacements J Appl Mech 70 58 63 10.1115/1.1530635 1110.74689 10.1115/1.1530635
52. K Stein TE Tezduyar R Benney 2004 Automatic mesh update with the solid-extension mesh moving technique Comput Methods in Appl Mech Eng 193 2019 2032 10.1016/j.cma.2003.12.046 1067.74587 10.1016/j.cma.2003.12.046 (Pubitemid 38463395)
53. EH van Brummelen R de Borst 2005 On the nonnormality of subiteration for a fluid-structure interaction problem SIAM J Sci Comput 27 599 621 2202236 1136.65334 10.1137/S1064827503431430
54. TE Tezduyar S Sathe R Keedy K Stein 2006 Space-time finite element techniques for computation of fluid-structure interactions Comput Methods Appl Mech Eng 195 2002 2027 10.1016/j.cma.2004.09.014 2202912 1118.74052 10.1016/j.cma.2004.09.014 (Pubitemid 43193531)
55. TE Tezduyar S Sathe K Stein 2006 Solution techniques for the fully-discretized equations in computation of fluid-structure interactions with the space-time formulations Comput Methods Appl Mech Eng 195 5743 5753 10.1016/j.cma.2005.08.023 2243324 1123.76035 10.1016/j.cma.2005.08.023 (Pubitemid 43942199)
56. RA Khurram A Masud 2006 A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction Comput Mech 38 403 416 1184.76720 10.1007/s00466-006-0059-4 (Pubitemid 43967449)
57. TE Tezduyar 2007 Finite elements in fluids: stabilized formulations and moving boundaries and interfaces Comput Fluids 36 191 206 10.1016/j.compfluid. 2005.02.011 2288426 1177.76202 10.1016/j.compfluid.2005.02.011 (Pubitemid 44689193)
58. Brenk M, Bungartz H.-J, Mehl M, Neckel T (2006) Fluid-structure interaction on Cartesian grids: flow simulation and coupling environment. In: Bungartz H-J, Schafer M (eds) Fluid-structure interaction. Lecture notes in computational science and engineering, vol 53. Springer, Berlin, pp 233-269
59. Lohner R, Cebral JR, Yang C, Baum JD, Mestreau EL, Soto O (2006) Extending the range of applicability of the loose coupling approach for FSI simulations. In: Bungartz H-J, Schafer M (eds) Fluid-structure interaction. Lecture notes in computational science and engineering, vol 53. Springer, Berlin, pp 82-100
60. Bletzinger K-U, Wuchner R, Kupzok A (2006) Algorithmic treatment of shells and free form-membranes in FSI. In: Bungartz H-J, Schafer M (eds) Fluid-structure interaction. Lecture notes in computational science and engineering, vol 53. Springer, Berlin, pp 336-355
61. T Sawada T Hisada 2007 Fluid-structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method Comput Fluids 36 136 146 1181.76099 10.1016/j.compfluid.2005.06.007 (Pubitemid 44615424)
62. TE Tezduyar S Sathe 2007 Modeling of fluid-structure interactions with the space-time finite elements: solution techniques Int J Numer Methods Fluids 54 855 900 10.1002/fld.1430 2333013 1144.74044 10.1002/fld.1430 (Pubitemid 47009683)
63. K Takizawa T Yabe Y Tsugawa TE Tezduyar H Mizoe 2007 Computation of free-surface flows and fluid-object interactions with the CIP method based on adaptive meshless Soroban grids Comput Mech 40 167 183 10.1007/s00466-006-0093-2 1177.76300 10.1007/s00466-006-0093-2 (Pubitemid 46723553)
64. K Takizawa K Tanizawa T Yabe TE Tezduyar 2007 Ship hydrodynamics computations with the CIP method based on adaptive Soroban grids Int J Numer Methods Fluids 54 1011 1019 10.1002/fld.1466 05169603 10.1002/fld.1466 (Pubitemid 47009689)
65. T Yabe K Takizawa TE Tezduyar H-N Im 2007 Computation of fluid-solid and fluid-fluid interfaces with the CIP method based on adaptive Soroban grids-an overview Int J Numer Methods Fluids 54 841 853 10.1002/fld.1473 2333012 05169596 10.1002/fld.1473 (Pubitemid 47009682)
66. M Manguoglu AH Sameh TE Tezduyar S Sathe 2008 A nested iterative scheme for computation of incompressible flows in long domains Comput Mech 43 73 80 10.1007/s00466-008-0276-0 2443160 05599789 10.1007/s00466-008-0276-0
67. TE Tezduyar S Sathe J Pausewang M Schwaab J Christopher J Crabtree 2008 Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods Comput Mech 43 39 49 10.1007/s00466-008-0261-7 05599787 10.1007/s00466-008-0261-7
68. TE Tezduyar S Sathe J Pausewang M Schwaab J Christopher J Crabtree 2008 Fluid-structure interaction modeling of ringsail parachutes Comput Mech 43 133 142 10.1007/s00466-008-0260-8 1209.74022 10.1007/s00466-008-0260-8
69. S Sathe TE Tezduyar 2008 Modeling of fluid-structure interactions with the space-time finite elements: contact problems Comput Mech 43 51 60 10.1007/s00466-008-0299-6 2443160 05599793 10.1007/s00466-008-0299-6
70. WG Dettmer D Peric 2008 On the coupling between fluid flow and mesh motion in the modelling of fluid-structure interaction Comput Mech 43 81 90 05599784 10.1007/s00466-008-0254-6
71. M Manguoglu AH Sameh F Saied TE Tezduyar S Sathe 2009 Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows J Appl Mech 76 021204 10.1115/1.3059576 10.1115/1.3059576
72. M Manguoglu K Takizawa AH Sameh TE Tezduyar 2010 Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement Comput Mech 46 83 89 10.1007/s00466-009-0426-z 05723637 10.1007/s00466-009-0426-z
73. TE Tezduyar K Takizawa C Moorman S Wright J Christopher 2010 Space-time finite element computation of complex fluid-structure interactions Int J Methods Fluids 64 1201 1218 10.1002/fld.2221 05836344 10.1002/fld.2221
74. Y Bazilevs M-C. Hsu I Akkerman S Wright K Takizawa B Henicke T Spielman TE Tezduyar 2011 3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics Int J Numer Methods Fluids 65 207 235 10.1002/fld.2400 05837895 10.1002/fld.2400
75. Y Bazilevs M-C Hsu J Kiendl R Wüchner K-U Bletzinger 2011 3D simulation of wind turbine rotors at full scale. Part II: Fluid-structure interaction modeling with composite blades Int J Numer Methods Fluids 65 236 253 05837896 10.1002/fld.2454
76. J Kiendl Y Bazilevs M.-C. Hsu R Wüchner K-U Bletzinger 2010 The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches Comput Methods Appl Mech Eng 199 2403 2416 10.1016/j.cma.2010.03.029
77. K Takizawa C Moorman S Wright T Spielman TE Tezduyar 2011 Fluid-structure interaction modeling and performance analysis of the Orion spacecraft parachutes Int J Numer Methods Fluids 65 271 285 10.1002/fld.2348 05837898 10.1002/fld.2348
78. K Takizawa S Wright S Moorman TE Tezduyar 2011 Fluid-structure interaction modeling of parachute clusters Int J Numer Methods Fluids 65 286 307 10.1002/fld.2359 05837899 10.1002/fld.2359
79. M Manguoglu K Takizawa AH Sameh TE Tezduyar 2011 Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refine- ment Int J Numer Methods Fluids 65 135 149 10.1002/fld.2415 2790442 05837891 10.1002/fld.2415
80. Takizawa K, Tezduyar TE (2011) Multiscale space-time fluid-structure interaction techniques. Comput Mech (published online). doi: 10.1007/s00466-011-0571-z, February 2011
81. Takizawa K, Henicke B, Tezduyar TE, Hsu M-C, Bazilevs Y (2011) Stabilized space-time computation of wind-turbine rotor aerodynamics. Comput Mech (published online) doi: 10.1007/s00466-011-0589-2, March 2011
82. Takizawa K, Spielman T, Tezduyar TE (2011) Space-time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters. Comput Mech (published online) doi: 10.1007/s00466-011-0590-9, April 2011
83. Takizawa K, Spielman T, Moorman C, Tezduyar TE (2011) Fluid-structure interaction modeling of spacecraft parachutes for simulation-based design. J Appl Mech (2011) (to appear)
84. Takizawa K, Henicke B, Puntel A, Spielman T, Tezduyar TE (2011) Space-time computational techniques for the aerodynamics of flapping wings. J Appl Mech (2011) (to appear)
85. Takizawa K, Henicke B, Montes D, Tezduyar TE, Hsu M-C, Bazilevs Y (2011) Numerical-performance studies for the stabilized space-time computation of wind-turbine rotor aerodynamics. Comput Mech (published online) doi: 10.1007/s00466-011-0614-5, July 2011
86. Hughes TJR, Brooks AN (1979) A multi-dimensional upwind scheme with no crosswind diffusion. In: Hughes TJR (ed) Finite element methods for convection dominated flows, AMD-vol 34. ASME, New York, pp 19-35
87. AN Brooks TJR Hughes 1982 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput Methods Appl Mech Eng 32 199 259 679322 0497.76041 10.1016/0045-7825(82)90071-8
88. TE Tezduyar 1992 Stabilized finite element formulations for incompressible flow computations Adv Appl Mech 28 1 44 10.1016/S0065-2156(08) 70153-4 1157639 0747.76069 10.1016/S0065-2156(08)70153-4
89. TE Tezduyar S Mittal SE Ray R Shih 1992 Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements Comput Methods Appl Mech Eng 95 221 242 10.1016/0045-7825(92)90141-6 0756.76048 10.1016/0045-7825(92)90141-6
90. Tezduyar TE, Takizawa K, Christopher J (2009) Multiscale Sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique. In: Hartmann S, Meister A, Schaefer M, Turek S (eds) International workshop on fluid-structure interaction-theory, numerics and applications. Kassel University Press, Kassel, pp 231-252, ISBN 978-3-89958-666-4
91. TE Tezduyar M Behr J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial- domain/space-time procedure: I. The concept and the preliminary numerical tests Comput Methods Appl Mech Eng 94 339 351 10.1016/0045-7825(92)90059-S 1153059 0745.76044 10.1016/0045-7825(92)90059-S
92. TE Tezduyar M Behr S Mittal J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders Comput Methods Appl Mech Eng 94 353 371 10.1016/0045-7825(92)90060-W 1153060 0745.76045 10.1016/0045-7825(92)90060-W
93. TE Tezduyar 2003 Computation of moving boundaries and interfaces and stabilization parameters Int J Numer Methods Fluids 43 555 575 10.1002/fld.505 2022905 1032.76605 10.1002/fld.505 (Pubitemid 37343253)
94. AH Sameh DJ Kuck 1978 On stable parallel linear system solvers J ACM 25 81 91 10.1145/322047.322054 483334 0364.68051 10.1145/322047.322054
95. DJKSC Chen AH Sameh 1978 Practical parallel band triangular system solvers ACM Trans Math Softw 4 270 277 506790 0384.65013 10.1145/355791.355797 (Pubitemid 9397827)
96. DH Lawrie AH Sameh 1984 The computation and communication complexity of a parallel banded system solver ACM Trans Math Softw 10 185 195 10.1145/399.401 791985 0534.68027 10.1145/399.401 (Pubitemid 15421431)
97. MW Berry A Sameh 1988 Multiprocessor schemes for solving block tridiagonal linear systems Int J Supercomput Appl 1 37 57 10.1177/ 109434208800200304
98. JJ Dongarra AH Sameh 1984 On some parallel banded system solvers Parallel Comput 1 223 235 10.1016/S0167-8191(84)90165-0
99. E Polizzi AH Sameh 2006 A parallel hybrid banded system solver: the spike algorithm Parallel Comput 32 177 194 10.1016/j.parco.2005.07.005 2202666 10.1016/j.parco.2005.07.005 (Pubitemid 43120209)
100. E Polizzi AH Sameh 2007 Spike: a parallel environment for solving banded linear systems Comput Fluids 36 113 120 2273856 1181.76110 10.1016/j.compfluid. 2005.07.005 (Pubitemid 44615421)
101. Manguoglu M A domain decomposing parallel sparse linear system solver. J Comput Appl Math (in review)
102. G Karypis V Kumar 1999 Parallel multilevel k-way partitioning scheme for irregular graphs SIAM J Sci Comput 41 278 300 1684545 0918.68073