-
1
-
-
0030209898
-
Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
-
Aavatsmark I., Barkve T., Bøe Ø., Mannseth T. Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. J. Comput. Phys. 1996, 127:2-14.
-
(1996)
J. Comput. Phys.
, vol.127
, pp. 2-14
-
-
Aavatsmark, I.1
Barkve, T.2
Bøe, Ø.3
Mannseth, T.4
-
2
-
-
33746134367
-
Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids
-
Aavatsmark I., Eigestad G.T. Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids. Int. J. Numer. Methods Fluids 2006, 51:939-961.
-
(2006)
Int. J. Numer. Methods Fluids
, vol.51
, pp. 939-961
-
-
Aavatsmark, I.1
Eigestad, G.T.2
-
3
-
-
35649028710
-
Convergence of a symmetric MPFA method on quadrilateral grids
-
Aavatsmark I., Eigestad G.T., Klausen R.A., Wheeler M.F., Yotov I. Convergence of a symmetric MPFA method on quadrilateral grids. Comput. Geosci. 2007, 11:333-345.
-
(2007)
Comput. Geosci.
, vol.11
, pp. 333-345
-
-
Aavatsmark, I.1
Eigestad, G.T.2
Klausen, R.A.3
Wheeler, M.F.4
Yotov, I.5
-
4
-
-
44649153782
-
A compact multipoint flux approximation method with improved robustness
-
Aavatsmark I., Eigestad G.T., Mallison B.T., Nordbotten J.M. A compact multipoint flux approximation method with improved robustness. Numer. Methods Part. Diff. Eq. 2008, 24:1329-1360.
-
(2008)
Numer. Methods Part. Diff. Eq.
, vol.24
, pp. 1329-1360
-
-
Aavatsmark, I.1
Eigestad, G.T.2
Mallison, B.T.3
Nordbotten, J.M.4
-
5
-
-
59149103601
-
An efficient cell-centered diffusion scheme for quadrilateral grids
-
Basko M.M., Maruhn J., Tauschwitz An. An efficient cell-centered diffusion scheme for quadrilateral grids. J. Comput. Phys. 2009, 228:2175-2193.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 2175-2193
-
-
Basko, M.M.1
Maruhn, J.2
Tauschwitz, A.3
-
6
-
-
34248576223
-
A cell-centered diffusion scheme on two-dimensional unstructured meshes
-
Breil J., Maire P.-H. A cell-centered diffusion scheme on two-dimensional unstructured meshes. J. Comput. Phys. 2007, 224:785-823.
-
(2007)
J. Comput. Phys.
, vol.224
, pp. 785-823
-
-
Breil, J.1
Maire, P.-H.2
-
7
-
-
61849170561
-
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes
-
Chang L.N., Yuan G.W. Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Comput. Methods Appl. Mech. Eng. 2009, 198:1638-1646.
-
(2009)
Comput. Methods Appl. Mech. Eng.
, vol.198
, pp. 1638-1646
-
-
Chang, L.N.1
Yuan, G.W.2
-
8
-
-
57849136088
-
A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations
-
Cheng J., Shu C.-W. A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Commun. Comput. Phys. 2008, 4:1008-1024.
-
(2008)
Commun. Comput. Phys.
, vol.4
, pp. 1008-1024
-
-
Cheng, J.1
Shu, C.-W.2
-
9
-
-
37249042136
-
Enriched multi-point flux approximation for general grids
-
Chen Q.-Y., Wan J., Yang Y., Mifflin R.T. Enriched multi-point flux approximation for general grids. J. Comput. Phys. 2008, 227:1701-1721.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 1701-1721
-
-
Chen, Q.-Y.1
Wan, J.2
Yang, Y.3
Mifflin, R.T.4
-
10
-
-
57849163648
-
An optimization-based rezoning for ALE methods
-
Chen Y.B., Jiang S. An optimization-based rezoning for ALE methods. Commun. Comput. Phys. 2008, 4:1216-1244.
-
(2008)
Commun. Comput. Phys.
, vol.4
, pp. 1216-1244
-
-
Chen, Y.B.1
Jiang, S.2
-
11
-
-
43249116689
-
Simulation of Z-pinch implosion using MARED code
-
Ding L., Wu J.M., et al. Simulation of Z-pinch implosion using MARED code. High Power Laser Particle Beans 2008, 20:212-218.
-
(2008)
High Power Laser Particle Beans
, vol.20
, pp. 212-218
-
-
Ding, L.1
Wu, J.M.2
-
12
-
-
0032460761
-
Finite volume discretization with imposed flux continuity for the general tensor pressure equation
-
Edwards M.G., Rogers C.F. Finite volume discretization with imposed flux continuity for the general tensor pressure equation. Comput. Geosci. 1998, 2:259-290.
-
(1998)
Comput. Geosci.
, vol.2
, pp. 259-290
-
-
Edwards, M.G.1
Rogers, C.F.2
-
13
-
-
27844557989
-
On the convergence of the multi-point flux approximation O-method: numerical experiments for discontinuous permeability
-
Eigestad G.T., Klausen R.A. On the convergence of the multi-point flux approximation O-method: numerical experiments for discontinuous permeability. Numer. Methods Part. Diff. Eq. 2005, 21:1079-1098.
-
(2005)
Numer. Methods Part. Diff. Eq.
, vol.21
, pp. 1079-1098
-
-
Eigestad, G.T.1
Klausen, R.A.2
-
14
-
-
67949113441
-
A nine-point difference scheme for the two-dimensional equations of heat conduction with three temperatures
-
Fu S.W., Fu H.Q., Shen L.J. A nine-point difference scheme for the two-dimensional equations of heat conduction with three temperatures. J. Numer. Methods Comput. Appl. 1999, 20:237-240.
-
(1999)
J. Numer. Methods Comput. Appl.
, vol.20
, pp. 237-240
-
-
Fu, S.W.1
Fu, H.Q.2
Shen, L.J.3
-
16
-
-
77949323514
-
A linearity preserving difference scheme for the numerical solution of diffusion equation on distorted meshes
-
Han C.H., Kang T., Wu J.M. A linearity preserving difference scheme for the numerical solution of diffusion equation on distorted meshes. J. Commun. Univ. China Sci. Technol. 2008, 15:40-44.
-
(2008)
J. Commun. Univ. China Sci. Technol.
, vol.15
, pp. 40-44
-
-
Han, C.H.1
Kang, T.2
Wu, J.M.3
-
17
-
-
85190799644
-
-
A study of cell-center finite volume methods for diffusion equations, Mathematics Research Report 98-10-01, Department of Mathematics, University of Kansas, Laurence KS,
-
W.Z. Huang, A.M. Kappen, A study of cell-center finite volume methods for diffusion equations, Mathematics Research Report 98-10-01, Department of Mathematics, University of Kansas, Laurence KS, 1998.
-
(1998)
-
-
Huang, W.Z.1
Kappen, A.M.2
-
18
-
-
0001392592
-
Differencing of the diffusion equation in Lagrangian hydrodynamic codes
-
Kershaw D. Differencing of the diffusion equation in Lagrangian hydrodynamic codes. J. Comput. Phys. 1981, 39:375-395.
-
(1981)
J. Comput. Phys.
, vol.39
, pp. 375-395
-
-
Kershaw, D.1
-
19
-
-
85190791444
-
-
Mimetic MPFA, in: Proceedings of the 11th European Conference on the Mathematics of Oil Recovery, Bergen, Norway, A12, EAGE
-
R.A. Klausen, A.F. Stephansen, Mimetic MPFA, in: Proceedings of the 11th European Conference on the Mathematics of Oil Recovery, Bergen, Norway, A12, EAGE, 2008.
-
(2008)
-
-
Klausen, R.A.1
Stephansen, A.F.2
-
20
-
-
33846981131
-
Robust convergence of multi point flux approximation on rough grids
-
Klausen R.A., Winther R. Robust convergence of multi point flux approximation on rough grids. Numer. Math. 2006, 104:317-337.
-
(2006)
Numer. Math.
, vol.104
, pp. 317-337
-
-
Klausen, R.A.1
Winther, R.2
-
21
-
-
26844520852
-
On the finite difference scheme of two-dimensional parabolic equation in a non-rectangular mesh
-
Li D.Y., Shui H.S., Tang M., Tang J. On the finite difference scheme of two-dimensional parabolic equation in a non-rectangular mesh. J. Numer. Methods Comput. Appl. 1980, 1:217-224.
-
(1980)
J. Numer. Methods Comput. Appl.
, vol.1
, pp. 217-224
-
-
Li, D.Y.1
Shui, H.S.2
Tang, M.3
Tang, J.4
-
22
-
-
77949332778
-
Local flux mimetic finite difference methods
-
Lipnikov K., Shashkov M., Yotov I. Local flux mimetic finite difference methods. Numer. Math. 2009, 112:115-152.
-
(2009)
Numer. Math.
, vol.112
, pp. 115-152
-
-
Lipnikov, K.1
Shashkov, M.2
Yotov, I.3
-
23
-
-
0000904290
-
A cell-centered Lagrangian-mesh diffusion differencing scheme
-
Morel J.M., Dendy J.E., Hall M.L., White S.W. A cell-centered Lagrangian-mesh diffusion differencing scheme. J. Comput. Phys. 1992, 103:286-299.
-
(1992)
J. Comput. Phys.
, vol.103
, pp. 286-299
-
-
Morel, J.M.1
Dendy, J.E.2
Hall, M.L.3
White, S.W.4
-
24
-
-
0001965060
-
A local support-operators diffusion discretization scheme for quadrilateral r-z meshes
-
Morel J.E., Roberts R.M., Shashkov M.J. A local support-operators diffusion discretization scheme for quadrilateral r-z meshes. J. Comput. Phys. 1998, 144:17-51.
-
(1998)
J. Comput. Phys.
, vol.144
, pp. 17-51
-
-
Morel, J.E.1
Roberts, R.M.2
Shashkov, M.J.3
-
26
-
-
33746174150
-
Convergence study of a family of flux-continuous finite-volume schemes for the general tensor pressure equation
-
Pal M., Edwards M.G., Lamb A.R. Convergence study of a family of flux-continuous finite-volume schemes for the general tensor pressure equation. Int. J. Numer. Methods Fluids 2006, 51:1177-1203.
-
(2006)
Int. J. Numer. Methods Fluids
, vol.51
, pp. 1177-1203
-
-
Pal, M.1
Edwards, M.G.2
Lamb, A.R.3
-
27
-
-
38849180045
-
The construction of simulation algorithms for laser fusion
-
Pei W.B. The construction of simulation algorithms for laser fusion. Commun. Comput. Phys. 2007, 2:255-270.
-
(2007)
Commun. Comput. Phys.
, vol.2
, pp. 255-270
-
-
Pei, W.B.1
-
28
-
-
0030525010
-
Solving diffusion equations with rough coefficients in rough grids
-
Shashkov M., Steinberg S. Solving diffusion equations with rough coefficients in rough grids. J. Comput. Phys. 1996, 129:383-405.
-
(1996)
J. Comput. Phys.
, vol.129
, pp. 383-405
-
-
Shashkov, M.1
Steinberg, S.2
-
29
-
-
43049109588
-
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes
-
Sheng Z.Q., Yuan G.W. A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. SIAM J. Sci. Comput. 2008, 30:1341-1361.
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, pp. 1341-1361
-
-
Sheng, Z.Q.1
Yuan, G.W.2
-
30
-
-
33947657066
-
A multipoint flux mixed finite element method
-
Wheeler M.F., Yotov I. A multipoint flux mixed finite element method. SIAM J. Numer. Anal. 2006, 44:2082-2106.
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, pp. 2082-2106
-
-
Wheeler, M.F.1
Yotov, I.2
-
31
-
-
29244471180
-
A difference scheme with high resolution for the numerical solution of a nonlinear diffusion equation
-
Wu J.M., Fu S.W., Shen L.J. A difference scheme with high resolution for the numerical solution of a nonlinear diffusion equation. J. Numer. Methods Comput. Appl. 2003, 24:116-128.
-
(2003)
J. Numer. Methods Comput. Appl.
, vol.24
, pp. 116-128
-
-
Wu, J.M.1
Fu, S.W.2
Shen, L.J.3
-
33
-
-
85190790011
-
-
Linearly exact method and the difference scheme for diffusion equation on quadrilateral meshes, Annual Report, Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, China
-
J.M. Wu, Linearly exact method and the difference scheme for diffusion equation on quadrilateral meshes, Annual Report, Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, China, 2005, pp. 156-169.
-
(2005)
, pp. 156-169
-
-
Wu, J.M.1
-
34
-
-
61849108592
-
Tangential flux on grid edge in nine-point schemes for diffusion equations
-
Yuan G.W., Hang X.D. Tangential flux on grid edge in nine-point schemes for diffusion equations. Chinese J. Comput. Phys. 2008, 25:7-14.
-
(2008)
Chinese J. Comput. Phys.
, vol.25
, pp. 7-14
-
-
Yuan, G.W.1
Hang, X.D.2
-
35
-
-
48349093034
-
Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation
-
Yuan G.W., Sheng Z.Q. Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Sci. China, Ser. A: Math. 2008, 51:1-13.
-
(2008)
Sci. China, Ser. A: Math.
, vol.51
, pp. 1-13
-
-
Yuan, G.W.1
Sheng, Z.Q.2
-
36
-
-
43049113133
-
Monotone finite volume schemes for diffusion equations on polygonal meshes
-
Yuan G.W., Sheng Z.Q. Monotone finite volume schemes for diffusion equations on polygonal meshes. J. Comput. Phys. 2008, 227:6288-6312.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 6288-6312
-
-
Yuan, G.W.1
Sheng, Z.Q.2
|