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Volumn 28, Issue 2, 2010, Pages 149-169

Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips

Author keywords

Mathematical modeling; Microfluidic biochips; Multiphysics; Multiscale problems; Numerical simulation; Shape optimization

Indexed keywords


EID: 77950355533     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: 10.4208/jcm.2009.10-m1001     Document Type: Article
Times cited : (24)

References (55)
  • 2
    • 78651542232 scopus 로고    scopus 로고
    • Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips
    • (hanger, U. et al.; eds.), Lecture Notes in Computational Science and Engineering, Vol. 60, Springer, Berlin Heidelberg-New York
    • H. Antil, A. Gantner, R.H.W. Hoppe, D. Koster, K.G. Siebert, and A. Wixforth, Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips, in Proc. 17th Int. Conf. on Domain Decomposition Methods (hanger, U. et al.; eds.), Lecture Notes in Computational Science and Engineering, Vol. 60, pp. 305-312, Springer, Berlin Heidelberg-New York, 2007.
    • (2007) Proc. 17th Int. Conf. on Domain Decomposition Methods , pp. 305-312
    • Antil, H.1    Gantner, A.2    Hoppe, R.H.W.3    Koster, D.4    Siebert, K.G.5    Wixforth, A.6
  • 3
    • 34547667009 scopus 로고    scopus 로고
    • Path-following primal-dual interior-point methods for shape optimization of stationary flow problems
    • H. Antil, R.H.W. Hoppe, and C. Linsenmann, Path-following primal-dual interior-point methods for shape optimization of stationary flow problems, J. Numer. Math., 11 (2007), 81-100.
    • (2007) J. Numer. Math. , vol.11 , pp. 81-100
    • Antil, H.1    Hoppe, R.H.W.2    Linsenmann, C.3
  • 4
    • 67249132373 scopus 로고    scopus 로고
    • Optimal design of stationary flow problems by path-following interior-point methods
    • H. Antil, R.H.W. Hoppe, and C. Linsenmann, Optimal design of stationary flow problems by path-following interior-point methods, Control & Cybernetics, 37, 2008, 771-796.
    • (2008) Control & Cybernetics , vol.37 , pp. 771-796
    • Antil, H.1    Hoppe, R.H.W.2    Linsenmann, C.3
  • 5
    • 78651562383 scopus 로고    scopus 로고
    • Adaptive multilevel interior-point methods in PDE constrained optimization
    • (Bercovier, M. et al.; eds.), Lecture Notes in Computational Science and Engineering, Springer, Berlin Heidelberg-New York, (in press)
    • H. Antil, R.H.W. Hoppe, and C. Linsenmann, Adaptive multilevel interior-point methods in PDE constrained optimization, Proc. 18th Int. Conf. on Domain Decomposition Methods and Applications (Bercovier, M. et al.; eds.), Lecture Notes in Computational Science and Engineering, Springer, Berlin Heidelberg-New York, 2009 (in press).
    • (2009) Proc. 18th Int. Conf. on Domain Decomposition Methods and Applications
    • Antil, H.1    Hoppe, R.H.W.2    Linsenmann, C.3
  • 6
    • 48349086482 scopus 로고    scopus 로고
    • Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming
    • P. Armand, J. Benoist, and D. Orban, Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming, Computational Optimization and Applications, 41 (2008), 1-25.
    • (2008) Computational Optimization and Applications , vol.41 , pp. 1-25
    • Armand, P.1    Benoist, J.2    Orban, D.3
  • 10
    • 0001130234 scopus 로고    scopus 로고
    • A trust region method based on interior point techniques for nonlinear programming
    • R.H. Byrd, J.C. Gilbert, and J. Nocedal, A trust region method based on interior point techniques for nonlinear programming, Math. Programming, 89 (2000), 149-185.
    • (2000) Math. Programming , vol.89 , pp. 149-185
    • Byrd, R.H.1    Gilbert, J.C.2    Nocedal, J.3
  • 13
    • 0036776693 scopus 로고    scopus 로고
    • Preconditioners for saddle point problems arising in computational fluid dynamics
    • H.C. Elman, Preconditioners for saddle point problems arising in computational fluid dynamics, Appl. Numer. Math., 43 (2002), 75-89.
    • (2002) Appl. Numer. Math. , vol.43 , pp. 75-89
    • Elman, H.C.1
  • 14
    • 85128805678 scopus 로고    scopus 로고
    • The heterogeneous multiscale methods
    • W. E and B. Enquist, The heterogeneous multiscale methods, Comm. Math. Sciences, 1 (2003), 87-132, 2003.
    • (2003) Comm. Math. Sciences , vol.1 , pp. 87-132
    • Enquist, B.1
  • 15
    • 84880282987 scopus 로고    scopus 로고
    • The heterogoeneous multiscale method for homogenization problems
    • Notes in Comput Sci. Engrg., Vol. 44, Springer, Berlin-Heidelberg-New York
    • W. E and B. Enquist, The heterogoeneous multiscale method for homogenization problems, in Multiscale Methods in Sci. and Engrg., pp. 89-110, Lect. Notes in Comput Sci. Engrg., Vol. 44, Springer, Berlin-Heidelberg-New York, 2005.
    • (2005) Multiscale Methods in Sci. and Engrg. , pp. 89-110
    • Enquist, B.1
  • 19
    • 54349110899 scopus 로고    scopus 로고
    • Microfluidics for miniaturized laboratories on a chip
    • T. Franke and A. Wixforth, Microfluidics for miniaturized laboratories on a chip, Chem Phys Chem, 9 (2008), 2140-2156. 2008.
    • (2008) Chem Phys Chem , vol.9 , pp. 2140-2156
    • Franke, T.1    Wixforth, A.2
  • 20
    • 34547205522 scopus 로고    scopus 로고
    • Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips
    • A. Gantner, R.H.W. Hoppe, D. Koster, K.G. Siebert, and A. Wixforth, Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips, Comp. Visual. Sci., 10 (2007), 145-161.
    • (2007) Comp. Visual. Sci. , vol.10 , pp. 145-161
    • Gantner, A.1    Hoppe, R.H.W.2    Koster, D.3    Siebert, K.G.4    Wixforth, A.5
  • 21
    • 0002688960 scopus 로고    scopus 로고
    • Primal-dual interior method for nonconvex nonlinear programming
    • (Y. Yuan; ed.), Kluwer, Dordrecht
    • D.M. Gay, M.I. Overton, and M.H. Wright, Primal-dual interior method for nonconvex nonlinear programming, in Advances in Nonlinear Programming (Y. Yuan; ed.), pp. 31-56, Kluwer, Dordrecht, 1998.
    • (1998) Advances in Nonlinear Programming , pp. 31-56
    • Gay, D.M.1    Overton, M.I.2    Wright, M.H.3
  • 29
    • 70350283175 scopus 로고    scopus 로고
    • Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems
    • Vol. 4818, Springer, Berlin-Heidelberg-New York
    • R.H.W. Hoppe, C. Linsenmann, and H. Antil, Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems, in Lecture Notes in Computer Science, Vol. 4818, Springer, Berlin-Heidelberg-New York, 2008, pp. 259-266.
    • (2008) Lecture Notes in Computer Science , pp. 259-266
    • Hoppe, R.H.W.1    Linsenmann, C.2    Antil, H.3
  • 30
  • 31
    • 38249023769 scopus 로고
    • A multi-grid continuation strategy for parameter dependent variational inequalities
    • R.H.W. Hoppe and H.D. Mittelmann, A multi-grid continuation strategy for parameter dependent variational inequalities, J. Comput. Appl. Math., 26 (1989), 35-46.
    • (1989) J. Comput. Appl. Math. , vol.26 , pp. 35-46
    • Hoppe, R.H.W.1    Mittelmann, H.D.2
  • 32
    • 10044261203 scopus 로고    scopus 로고
    • Primal-dual Newton interior-point methods in shape and topology optimization
    • R.H.W. Hoppe and S.I. Petrova, Primal-dual Newton interior-point methods in shape and topology optimization, Numer. Linear Algebra Appl, 11 (2004), 413-429.
    • (2004) Numer. Linear Algebra Appl , vol.11 , pp. 413-429
    • Hoppe, R.H.W.1    Petrova, S.I.2
  • 35
    • 54049147270 scopus 로고    scopus 로고
    • Numerical simulation of acoustic streaming on SAW-driven biochips
    • D. Koster, Numerical simulation of acoustic streaming on SAW-driven biochips, SIAM J. Sci. Comput., 29 (2007), 2352-2380.
    • (2007) SIAM J. Sci. Comput. , vol.29 , pp. 2352-2380
    • Koster, D.1
  • 36
    • 0034186238 scopus 로고    scopus 로고
    • Interior point methods in topology optimization
    • B. Maar and V. Schulz, Interior point methods in topology optimization, Structural Optimization, 19 (2000), 214-224.
    • (2000) Structural Optimization , vol.19 , pp. 214-224
    • Maar, B.1    Schulz, V.2
  • 39
    • 0022145863 scopus 로고
    • Projected Hessian updating algorithms for nonlinearly constrained optimization
    • J. Nocedal and M. Overton, Projected Hessian updating algorithms for nonlinearly constrained optimization, SIAM J. Numer. Anal, 22 (1985), 821-850.
    • (1985) SIAM J. Numer. Anal , vol.22 , pp. 821-850
    • Nocedal, J.1    Overton, M.2
  • 41
    • 77950356457 scopus 로고    scopus 로고
    • private communication
    • Olympus Medical Systems, private communication, 2008.
    • (2008) Olympus Medical Systems
  • 46
    • 24944498780 scopus 로고    scopus 로고
    • Microfluidics: fluid physics at the nanoliter scale
    • T.M. Squires and S.R. Quake, Microfluidics: fluid physics at the nanoliter scale, Rev. Mod. Phys., 77 (2005), 977-1026.
    • (2005) Rev. Mod. Phys. , vol.77 , pp. 977-1026
    • Squires, T.M.1    Quake, S.R.2
  • 47
    • 1542291020 scopus 로고    scopus 로고
    • A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties
    • A.L. Tits, A. Wachter, S. Bakhtiari, T.J. Urban, and C.T. Lawrence, A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties, SIAM J. on Optimization, 14 (2003), 173-199.
    • (2003) SIAM J. on Optimization , vol.14 , pp. 173-199
    • Tits, A.L.1    Wachter, A.2    Bakhtiari, S.3    Urban, T.J.4    Lawrence, C.T.5
  • 48
    • 14944387007 scopus 로고    scopus 로고
    • A globally convergent primal-dual interior point filter method for nonconvex nonlinear programming
    • M. Ulbrich, S. Ulbrich, and L. Vicente, A globally convergent primal-dual interior point filter method for nonconvex nonlinear programming, Math. Programming, 100 (2004), 379-410.
    • (2004) Math. Programming , vol.100 , pp. 379-410
    • Ulbrich, M.1    Ulbrich, S.2    Vicente, L.3
  • 50
    • 33144460598 scopus 로고    scopus 로고
    • Line search filter methods for nonlinear programming: motivation and global convergence
    • A. Wachter and L.T. Biegler, Line search filter methods for nonlinear programming: motivation and global convergence, SIAM J. on Optimization, 16 (2005), 1-31.
    • (2005) SIAM J. on Optimization , vol.16 , pp. 1-31
    • Wachter, A.1    Biegler, L.T.2
  • 51
    • 33747117373 scopus 로고    scopus 로고
    • The origins and the future of microfluidics
    • G.M. Whitesides, The origins and the future of microfluidics, Nature, 44 (2006), 368.
    • (2006) Nature , vol.44 , pp. 368
    • Whitesides, G.M.1
  • 52
    • 0002801220 scopus 로고
    • On the convergence of multigrid iterations with transforming smoothers. Theory with applications to the Navier-Stokes equations
    • G. Wittum, On the convergence of multigrid iterations with transforming smoothers. Theory with applications to the Navier-Stokes equations, Numer. Math., 57 (1989), 15-38.
    • (1989) Numer. Math. , vol.57 , pp. 15-38
    • Wittum, G.1
  • 53
    • 33845407675 scopus 로고    scopus 로고
    • Acoustically driven programmable microfluidics for biological and chemical applications
    • JALA
    • A. Wixforth, Acoustically driven programmable microfluidics for biological and chemical applications, JALA, 11 (2006), 399-405.
    • (2006) , vol.11 , pp. 399-405
    • Wixforth, A.1


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