-
1
-
-
0037246341
-
The immersed interface/multigrid methods for interface problems
-
Adams L., and Li Z.L. The immersed interface/multigrid methods for interface problems. SIAM J. Sci. Comput. 24 (2002) 463-479
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 463-479
-
-
Adams, L.1
Li, Z.L.2
-
2
-
-
0000024779
-
The finite element method for elliptic equations with discontinuous coefficients
-
Babuška I. The finite element method for elliptic equations with discontinuous coefficients. Computing 5 (1970) 207-213
-
(1970)
Computing
, vol.5
, pp. 207-213
-
-
Babuška, I.1
-
3
-
-
2942565816
-
A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
-
Berthelsen P.A. A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions. J. Comput. Phys. 197 (2004) 364-386
-
(2004)
J. Comput. Phys.
, vol.197
, pp. 364-386
-
-
Berthelsen, P.A.1
-
4
-
-
0344981320
-
A fast solver for the Stokes equations with distributed forces in complex geometries
-
Biros G., Ying L.X., and Zorin D. A fast solver for the Stokes equations with distributed forces in complex geometries. J. Comput. Phys. 193 (2004) 317-348
-
(2004)
J. Comput. Phys.
, vol.193
, pp. 317-348
-
-
Biros, G.1
Ying, L.X.2
Zorin, D.3
-
5
-
-
21444439361
-
A finite element method for interface problems in domains with smooth boundaries and interfaces
-
Bramble J., and King J. A finite element method for interface problems in domains with smooth boundaries and interfaces. Adv. Comput. Math. 6 (1996) 109-138
-
(1996)
Adv. Comput. Math.
, vol.6
, pp. 109-138
-
-
Bramble, J.1
King, J.2
-
6
-
-
0032396367
-
Finite element methods and their convergence for elliptic and parabolic interface problems
-
Chen Z., and Zou J. Finite element methods and their convergence for elliptic and parabolic interface problems. Numer. Math. 79 (1998) 175-202
-
(1998)
Numer. Math.
, vol.79
, pp. 175-202
-
-
Chen, Z.1
Zou, J.2
-
7
-
-
0037285958
-
Three-dimensional elliptic solvers for interface problems and applications
-
Deng S.Z., Ito K., and Li Z.L. Three-dimensional elliptic solvers for interface problems and applications. J. Comput. Phys. 184 (2003) 215-243
-
(2003)
J. Comput. Phys.
, vol.184
, pp. 215-243
-
-
Deng, S.Z.1
Ito, K.2
Li, Z.L.3
-
8
-
-
1842511702
-
An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions
-
Dumett M.A., and Keener J.P. An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. SIAM J. Sci. Comput. 25 (2003) 348-367
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 348-367
-
-
Dumett, M.A.1
Keener, J.P.2
-
9
-
-
0002515554
-
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
-
Fadlun E.A., Verzicco R., Orlandi P., and Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161 (2000) 30-60
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 30-60
-
-
Fadlun, E.A.1
Verzicco, R.2
Orlandi, P.3
Mohd-Yusof, J.4
-
10
-
-
0346837922
-
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
-
Fedkiw R.P., Aslam T., Merriman B., and Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152 (1999) 457-492
-
(1999)
J. Comput. Phys.
, vol.152
, pp. 457-492
-
-
Fedkiw, R.P.1
Aslam, T.2
Merriman, B.3
Osher, S.4
-
11
-
-
0034775815
-
Immersed interface methods for Neumann and related problems in two and three dimensions
-
Fogelson A.L., and Keener J.P. Immersed interface methods for Neumann and related problems in two and three dimensions. SIAM J. Sci. Comput. 22 (2000) 1630-1654
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1630-1654
-
-
Fogelson, A.L.1
Keener, J.P.2
-
12
-
-
0032166374
-
Calculation of weights in finite difference formulas
-
Fornberg B. Calculation of weights in finite difference formulas. SIAM Rev. 40 (1998) 685-691
-
(1998)
SIAM Rev.
, vol.40
, pp. 685-691
-
-
Fornberg, B.1
-
13
-
-
0242628999
-
Computations of drop dynamics with the immersed boundary method, part 2: Drop impact and heat transfer
-
Francois M., and Shyy W. Computations of drop dynamics with the immersed boundary method, part 2: Drop impact and heat transfer. Numer. Heat Trans. Part B-Fund. 44 (2003) 119-143
-
(2003)
Numer. Heat Trans. Part B-Fund.
, vol.44
, pp. 119-143
-
-
Francois, M.1
Shyy, W.2
-
14
-
-
10244220985
-
A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
-
Gibou F., and Fedkiw R.P. A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. J. Comput. Phys. 202 (2005) 577-601
-
(2005)
J. Comput. Phys.
, vol.202
, pp. 577-601
-
-
Gibou, F.1
Fedkiw, R.P.2
-
15
-
-
19044361846
-
On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems
-
Griffith B.E., and Peskin C.S. On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. J. Comput. Phys. 208 (2005) 75-105
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 75-105
-
-
Griffith, B.E.1
Peskin, C.S.2
-
16
-
-
33750354690
-
A discontinuous Galerkin method for elliptic interface problems with application to electroporation
-
Guyomarch G., and Lee C.-O. A discontinuous Galerkin method for elliptic interface problems with application to electroporation. AIST DAM Research Report (2004) 04-14
-
(2004)
AIST DAM Research Report
, pp. 04-14
-
-
Guyomarch, G.1
Lee, C.-O.2
-
17
-
-
10244254997
-
A numerical method for solving variable coefficient elliptic equation with interfaces
-
Hou S., and Liu X.-D. A numerical method for solving variable coefficient elliptic equation with interfaces. J. Comput. Phys. 202 (2005) 411-445
-
(2005)
J. Comput. Phys.
, vol.202
, pp. 411-445
-
-
Hou, S.1
Liu, X.-D.2
-
18
-
-
0031185285
-
A hybrid method for moving interface problems with application to the Hele-Shaw flow
-
Hou T.Y., Li Z.L., Osher S., and Zhao H. A hybrid method for moving interface problems with application to the Hele-Shaw flow. J. Comput. Phys. 134 (1997) 236-252
-
(1997)
J. Comput. Phys.
, vol.134
, pp. 236-252
-
-
Hou, T.Y.1
Li, Z.L.2
Osher, S.3
Zhao, H.4
-
19
-
-
0344342317
-
Immersed boundary technique for turbulent flow simulations
-
Iaccarino G., and Verzicco R. Immersed boundary technique for turbulent flow simulations. Appl. Mech. Rev. 56 (2003) 331-347
-
(2003)
Appl. Mech. Rev.
, vol.56
, pp. 331-347
-
-
Iaccarino, G.1
Verzicco, R.2
-
20
-
-
0036647715
-
Robust numerical simulation of porosity evolution in chemical vapor infiltration II. Two-dimensional anisotropic fronts
-
Jin S., and Wang X.L. Robust numerical simulation of porosity evolution in chemical vapor infiltration II. Two-dimensional anisotropic fronts. J. Comput. Phys. 179 (2002) 557-577
-
(2002)
J. Comput. Phys.
, vol.179
, pp. 557-577
-
-
Jin, S.1
Wang, X.L.2
-
21
-
-
0001827481
-
A Cartesian grid embedding boundary method for Poisson's equation on irregular domains
-
Johansen H., and Colella P. A Cartesian grid embedding boundary method for Poisson's equation on irregular domains. J. Comput. Phys. 147 (1998) 60-85
-
(1998)
J. Comput. Phys.
, vol.147
, pp. 60-85
-
-
Johansen, H.1
Colella, P.2
-
22
-
-
24144467938
-
Immersed interface method for a reaction-diffusion equation with a moving own concentrated source
-
Kandilarov J.D. Immersed interface method for a reaction-diffusion equation with a moving own concentrated source. Lect. Notes Comput. Sci. 2542 (2003) 506-513
-
(2003)
Lect. Notes Comput. Sci.
, vol.2542
, pp. 506-513
-
-
Kandilarov, J.D.1
-
23
-
-
0000868581
-
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
-
Lai M.C., and Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 (2000) 705-719
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 705-719
-
-
Lai, M.C.1
Peskin, C.S.2
-
24
-
-
0028485385
-
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
-
LeVeque R.J., and Li Z.L. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31 (1994) 1019-1044
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1019-1044
-
-
LeVeque, R.J.1
Li, Z.L.2
-
25
-
-
0000641836
-
A fast iterative algorithm for elliptic interface problems
-
Li Z.L. A fast iterative algorithm for elliptic interface problems. SIAM J. Numer. Anal. 35 (1998) 230-254
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 230-254
-
-
Li, Z.L.1
-
26
-
-
0036208213
-
Maximum principle preserving schemes for interface problems with discontinuous coefficients
-
Li Z.L., and Ito K. Maximum principle preserving schemes for interface problems with discontinuous coefficients. SIAM J. Sci. Comput. 23 (2001) 339-361
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 339-361
-
-
Li, Z.L.1
Ito, K.2
-
27
-
-
0000985731
-
Fast parallel solution of Poisson's and the biharmonic equations on irregular regions
-
Mayo A., and Greengard A. Fast parallel solution of Poisson's and the biharmonic equations on irregular regions. SIAM J. Sci. Stat. Comput. 13 (1992) 101-118
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 101-118
-
-
Mayo, A.1
Greengard, A.2
-
28
-
-
0017424014
-
Numerical analysis of blood flow in heart
-
Peskin C.S. Numerical analysis of blood flow in heart. J. Comput. Phys. 25 (1977) 220-252
-
(1977)
J. Comput. Phys.
, vol.25
, pp. 220-252
-
-
Peskin, C.S.1
-
29
-
-
0002818291
-
Lectures on mathematical aspects of physiology
-
Peskin C.S. Lectures on mathematical aspects of physiology. Lect. Appl. Math. 19 (1981) 69-107
-
(1981)
Lect. Appl. Math.
, vol.19
, pp. 69-107
-
-
Peskin, C.S.1
-
30
-
-
45149143078
-
A3-dimensional computational method for blood-flow in the heart. 1. Immersed elastic fibers in a viscous incompressible fluid
-
Peskin C.S., and Mcqueen D.M. A3-dimensional computational method for blood-flow in the heart. 1. Immersed elastic fibers in a viscous incompressible fluid. J. Comput. Phys. 81 (1989) 372-405
-
(1989)
J. Comput. Phys.
, vol.81
, pp. 372-405
-
-
Peskin, C.S.1
Mcqueen, D.M.2
-
31
-
-
0001176192
-
Structural boundary design via level set and immersed interface methods
-
Sethian J.A., and Wiegmann A. Structural boundary design via level set and immersed interface methods. J. Comput. Phys. 163 (2000) 489-528
-
(2000)
J. Comput. Phys.
, vol.163
, pp. 489-528
-
-
Sethian, J.A.1
Wiegmann, A.2
-
32
-
-
7244250225
-
Numerical approximations of singular source terms in differential equations
-
Tornberg A.K., and Engquist B. Numerical approximations of singular source terms in differential equations. J. Comput. Phys. 200 (2004) 462-488
-
(2004)
J. Comput. Phys.
, vol.200
, pp. 462-488
-
-
Tornberg, A.K.1
Engquist, B.2
-
33
-
-
0013501861
-
An immersed interface method for the vortex-in-cell algorithm
-
Walther J.H., and Morgenthal G. An immersed interface method for the vortex-in-cell algorithm. J. Turbulence 3 039 (2002)
-
(2002)
J. Turbulence
, vol.3
, Issue.39
-
-
Walther, J.H.1
Morgenthal, G.2
-
34
-
-
4544354197
-
High order FDTD methods via derivative matching for Maxwell's equations with material interfaces
-
Zhao S., and Wei G.W. High order FDTD methods via derivative matching for Maxwell's equations with material interfaces. J. Comput. Phys. 200 (2004) 60-103
-
(2004)
J. Comput. Phys.
, vol.200
, pp. 60-103
-
-
Zhao, S.1
Wei, G.W.2
-
35
-
-
31744448526
-
High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
-
Zhou Y.C., Zhao S., Feig M., and Wei G.W. High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. J. Comput. Phys. 213 (2006) 1-30
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 1-30
-
-
Zhou, Y.C.1
Zhao, S.2
Feig, M.3
Wei, G.W.4
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