-
2
-
-
35848933716
-
On the accuracy of finite difference methods for elliptic problems with interfaces
-
J. Beale and A. Layton, On the accuracy of finite difference methods for elliptic problems with interfaces, Commun. Appl. Math. Comput. Sci., 1 (2006), pp. 91-119
-
(2006)
Commun. Appl. Math. Comput. Sci.
, vol.1
-
-
Beale, J.1
Layton, A.2
-
3
-
-
0000103294
-
A computational model of the cochlea using the immersed boundary method
-
R.P. Beyer, A computational model of the cochlea using the immersed boundary method, J. Comput. Phys., 98 (1992), pp. 145-162
-
(1992)
J. Comput. Phys.
, vol.98
, pp. 145-162
-
-
Beyer, R.P.1
-
5
-
-
42649127705
-
Validation of a simple method for representing spheres and slender bodies in an immersed boundary method for Stokes flow on an unbounded domain
-
T. Bringley and C. Peskin, Validation of a simple method for representing spheres and slender bodies in an immersed boundary method for Stokes flow on an unbounded domain, J. Comput. Phys., 227 (2008), pp. 5397-5425
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 5397-5425
-
-
Bringley, T.1
Peskin, C.2
-
6
-
-
0036347671
-
The method of regularized stokeslets
-
R. Cortez, The method of regularized stokeslets, SIAM J. Sci. Comput., 23 (2002), pp. 1204- 1225
-
(2002)
SIAM.J. Sci. Comput.
, vol.23
, pp. 1204-1225
-
-
Cortez, R.1
-
7
-
-
15844383109
-
The method of regularized stokeslets in three dimensions: Analysis, validation, and application to helical swimming
-
R. Cortez, L. Fauci, and A. Medovikov, The method of regularized stokeslets in three dimensions: Analysis, validation, and application to helical swimming, Phys. Fluids, 17 (2005), p. 031504
-
(2005)
Phys. Fluids
, vol.17
, pp. 031504
-
-
Cortez, R.1
Fauci, L.2
Medovikov, A.3
-
8
-
-
18344388470
-
Discretization of dirac delta functions in level set methods
-
B. Engquist, A. Tornberg, and R. Tsai, Discretization of dirac delta functions in level set methods, J. Comput. Phys., 207 (2005), pp. 28-51
-
(2005)
J. Comput. Phys.
, vol.207
, pp. 28-51
-
-
Engquist, B.1
Tornberg, A.2
Tsai, R.3
-
10
-
-
19044361846
-
On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems
-
B.E. Griffith and C.S. Peskin, On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems, J. Comput. Phys., 208 (2005), pp. 75-105
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 75-105
-
-
Griffith, B.E.1
Peskin, C.S.2
-
12
-
-
0000868581
-
An immersed boundary method with formal second order accuracy and reduce numerical viscosity
-
M. Lai and C.S. Peskin, An immersed boundary method with formal second order accuracy and reduce numerical viscosity, J. Comput. Phys., 160 (2000), pp. 705-719
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 705-719
-
-
Lai, M.1
Peskin, C.S.2
-
13
-
-
38049013847
-
The Immersed Interface Method: Numerical solutions of pdes involving interfaces and irrgular domains
-
Z. Li and K. Ito, The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irrgular Domains, SIAM, Philadelphia, 2006
-
(2006)
SIAM. Philadelphia
-
-
Li, Z.1
Ito, K.2
-
15
-
-
52349091971
-
Convergence proof of the velocity field for a Stokes flow immersed boundary method
-
Y. Mori, Convergence proof of the velocity field for a Stokes flow immersed boundary method, Comm. Pure Appl. Math., 61 (2008), pp. 1213-1263
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, pp. 1213-1263
-
-
Mori, Y.1
-
17
-
-
33751544551
-
The immersed boundary method
-
C. Peskin, The immersed boundary method, Acta Numer., 11 (2002), pp. 479-517
-
(2002)
Acta Numer.
, vol.11
, pp. 479-517
-
-
Peskin, C.1
-
18
-
-
0017424014
-
Numerical analysis of blood flow in the heart
-
C.S. Peskin, Numerical analysis of blood flow in the heart, J. Comput. Phys., 25 (1977), pp. 220-252
-
(1977)
J. Comput. Phys.
, vol.25
, pp. 220-252
-
-
Peskin, C.S.1
-
20
-
-
0003661003
-
-
Cambridge University Press, Cambridge, UK
-
J. Sethian, Level Set Methods and Fast Marching Methods, Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Science, Cambridge University Press, Cambridge, UK, 1999
-
(1999)
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Science
-
-
Sethian, J.1
Set Methods, L.2
Marching Methods, F.3
-
22
-
-
7244250225
-
Numerical approximations of singular source terms in differential equations
-
A. Tornberg and B. Engquist, Numerical approximations of singular source terms in differential equations, J. Comput. Phys., 200 (2004), pp. 462-488
-
(2004)
J. Comput. Phys.
, vol.200
, pp. 462-488
-
-
Tornberg, A.1
Engquist, B.2
-
23
-
-
0001313878
-
A front-tracking method for the computations of multiphase flow
-
G. Tryggvason, B. Bunner, A. Esmaeeli, D. Juric, N. Al-Rawahi, W. Tauber, J.H.S. Nas, and Y. Jan, A front-tracking method for the computations of multiphase flow, J. Comput. Phys., 169 (2001), pp. 708-759
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 708-759
-
-
Tryggvason, G.1
Bunner, B.2
Esmaeeli, A.3
Juric, D.4
Al-Rawahi, N.5
Tauber, W.6
Nas, J.H.S.7
Jan, Y.8
-
24
-
-
0039523559
-
On the approximation of singular source terms in differential equations
-
J. Walden, On the approximation of singular source terms in differential equations, Numer. Methods Partial Differential Equations, 15 (1999), pp. 503-520
-
(1999)
Numer. Methods Partial Differential Equations
, vol.15
, pp. 503-520
-
-
Walden, J.1
-
25
-
-
0036001757
-
Numerical integration of periodic functions: A few examples
-
J. Weideman, Numerical integration of periodic functions: A few examples, Amer. Math. Monthly, 109 (2002), pp. 21-36
-
(2002)
Amer. Math. Monthly
, vol.109
, pp. 21-36
-
-
Weideman, J.1
|