-
2
-
-
78651542232
-
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
-
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
-
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
-
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
-
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
-
7
-
-
0003748227
-
-
Springer, Berlin-Heidelberg-New York
-
M.P. BendsØe, Optimization of Structural Topology, Shape, and Material, Springer, Berlin-Heidelberg-New York, 1995.
-
(1995)
Optimization of Structural Topology, Shape, and Material
-
-
BendsØe, M.P.1
-
10
-
-
0001130234
-
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
-
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
-
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
-
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
-
16
-
-
0030541525
-
On the formulation and theory of the Newton interior-point method for nonlinear programming
-
A.S. El-Bakry, R.A. Tapia, T. Tsuchiya, and Y. Zhang, On the formulation and theory of the Newton interior-point method for nonlinear programming, Journal of Optimization Theory and Applications, 89 (1996), 507-541.
-
(1996)
Journal of Optimization Theory and Applications
, vol.89
, pp. 507-541
-
-
El-Bakry, A.S.1
Tapia, R.A.2
Tsuchiya, T.3
Zhang, Y.4
-
19
-
-
54349110899
-
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
-
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
-
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
-
25
-
-
16244384998
-
Planar chip device for PCR and hybridization with surface acoustic wave pump
-
Z. Guttenberg, H. Miiller, H. Habermuller, A. Geisbauer, J. Pipper, J. Felbel, M. Kilepinski, J. Scriba, and A. Wixforth, Planar chip device for PCR and hybridization with surface acoustic wave pump, Lab Chip, 5 (2005), 308-317.
-
(2005)
Lab Chip
, vol.5
, pp. 308-317
-
-
Guttenberg, Z.1
Miiller, H.2
Habermuller, H.3
Geisbauer, A.4
Pipper, J.5
Felbel, J.6
Kilepinski, M.7
Scriba, J.8
Wixforth, A.9
-
26
-
-
0000954586
-
-
(R. Ansorge et al.; eds.), Springer, Berlin-Heidelberg-New York
-
W. Hackbusch, Multi-grid continuation methods, in Iterative Solution of Nonlinear Systems (R. Ansorge et al.; eds.), pp. 20-45, Springer, Berlin-Heidelberg-New York, 1982.
-
(1982)
Multi-grid continuation methods, in Iterative Solution of Nonlinear Systems
, pp. 20-45
-
-
Hackbusch, W.1
-
27
-
-
1642269128
-
-
SIAM, Philadelphia
-
J. Haslinger and R.A.E. Makinen, Introduction to Shape Optimization: Theory, Approximation, and Computation, SIAM, Philadelphia, 2004.
-
(2004)
Introduction to Shape Optimization: Theory, Approximation, and Computation
-
-
Haslinger, J.1
Makinen, R.A.E.2
-
29
-
-
70350283175
-
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
-
-
33746114918
-
Primal-dual Newton methods in structural optimization
-
R.H.W. Hoppe, C. Linsenmann, and S.I. Petrova, Primal-dual Newton methods in structural optimization, Comp. Visual. Sci., 9 (2006), 71-87.
-
(2006)
Comp. Visual. Sci.
, vol.9
, pp. 71-87
-
-
Hoppe, R.H.W.1
Linsenmann, C.2
Petrova, S.I.3
-
31
-
-
38249023769
-
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
-
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
-
33
-
-
1442285037
-
A primal-dual Newton-type interior-point method for topology optimization
-
R.H.W. Hoppe, S.I. Petrova, and V. Schulz, A primal-dual Newton-type interior-point method for topology optimization, Journal of Optimization: Theory and Applications, 114, (2002), 545-571.
-
(2002)
Journal of Optimization: Theory and Applications
, vol.114
, pp. 545-571
-
-
Hoppe, R.H.W.1
Petrova, S.I.2
Schulz, V.3
-
35
-
-
54049147270
-
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
-
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
-
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
-
40
-
-
33747212196
-
-
Research Report RC 23563, IBM T. J. Watson Research Center, Yorktown
-
J. Nocedal, A. Wachter, and R.A. Waltz, Adaptive barrier update strategies for nonlinear interior methods, Research Report RC 23563, IBM T. J. Watson Research Center, Yorktown, 2006.
-
(2006)
Adaptive Barrier Update Strategies for Nonlinear Interior Methods
-
-
Nocedal, J.1
Wachter, A.2
Waltz, R.A.3
-
41
-
-
77950356457
-
-
private communication
-
Olympus Medical Systems, private communication, 2008.
-
(2008)
Olympus Medical Systems
-
-
-
46
-
-
24944498780
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
54
-
-
21144446591
-
Acoustic manipulation of small droplets
-
A. Wixforth, C. Strobl, C. Gauer, A. Toegl, J. Scriba, and Z. Guttenberg, Acoustic manipulation of small droplets, Anal. Bioanal. Chem., 379 (2004), 982-991.
-
(2004)
Anal. Bioanal. Chem.
, vol.379
, pp. 982-991
-
-
Wixforth, A.1
Strobl, C.2
Gauer, C.3
Toegl, A.4
Scriba, J.5
Guttenberg, Z.6
|