-
1
-
-
0000616562
-
-
Weighted a posteriori error control in FE methods, in: H.G. Bock (Ed.), Proc. 2nd European Conf. Numerical Mathematics and Advanced Applications (ENUMATH 97), Heidelberg, Germany, September 28 October 3, ENUMATH 95, Paris, September 1998, World Scientific Publishing, Singapore,
-
R. Becker, R. Rannacher, Weighted a posteriori error control in FE methods, in: H.G. Bock (Ed.), Proc. 2nd European Conf. Numerical Mathematics and Advanced Applications (ENUMATH 97), Heidelberg, Germany, September 28 October 3, 1997, ENUMATH 95, Paris, September 1998, World Scientific Publishing, Singapore, pp. 621-637.
-
(1997)
, pp. 621-637
-
-
Becker, R.1
Rannacher, R.2
-
4
-
-
18744380123
-
-
Wiley
-
Ramm Ekkehard, Rank E., Rannacher R., Schweizerhof K., Stein E., Wendland W., Wittum G., Wriggers Peter, Wunderlich Walter, Stein Erwin Error-controlled Adaptive Finite Elements in Solid Mechanics 2001, Wiley.
-
(2001)
Error-controlled Adaptive Finite Elements in Solid Mechanics
-
-
Ramm, E.1
Rank, E.2
Rannacher, R.3
Schweizerhof, K.4
Stein, E.5
Wendland, W.6
Wittum, G.7
Wriggers, P.8
Wunderlich, W.9
Stein, E.10
-
5
-
-
85189841485
-
-
Plewa Tomasz, Linde Timur, V. Gregory Weirs (Eds.), Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Lecture Notes in Computational Science and Engineering. Sept. 3-5, 2003, Springer,
-
Plewa Tomasz, Linde Timur, V. Gregory Weirs (Eds.), Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Lecture Notes in Computational Science and Engineering. Sept. 3-5, 2003, vol. 41. Springer, 2005.
-
(2005)
, vol.41
-
-
-
8
-
-
33947622505
-
Computing with Hp-Adaptive Finite Elements
-
Chapman & Hall/CRC
-
Demkowicz Leszek, Kurtz Jason, Pardo David, Paszynski Maciej, Rachowicz Waldemar, Zdunek Adam Computing with Hp-Adaptive Finite Elements. Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications 2007, vol. 2. Chapman & Hall/CRC.
-
(2007)
Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications
, vol.2
-
-
Demkowicz, L.1
Kurtz, J.2
Pardo, D.3
Paszynski, M.4
Rachowicz, W.5
Zdunek, A.6
-
9
-
-
11744289966
-
Local adaptive mesh refinement for shock hydrodynamics
-
Berger M.J., Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 1989, 82(1):64-84.
-
(1989)
J. Comput. Phys.
, vol.82
, Issue.1
, pp. 64-84
-
-
Berger, M.J.1
Colella, P.2
-
10
-
-
0032625462
-
A conservative adaptive-mesh algorithm for unsteady, combined-mode heat transfer using the discrete ordinates method
-
Howell L.H., Pember R.B., Colella P., Jessee J.P. A conservative adaptive-mesh algorithm for unsteady, combined-mode heat transfer using the discrete ordinates method. Numer. Heat Transfer Fundam. 1999, 35(24):407-430.
-
(1999)
Numer. Heat Transfer Fundam.
, vol.35
, Issue.24
, pp. 407-430
-
-
Howell, L.H.1
Pember, R.B.2
Colella, P.3
Jessee, J.P.4
-
11
-
-
85189841569
-
-
Hervé Jourdren Hera, A hydrodynamic amr platform for multi-physics simulations, in: Plewa Tomasz, Linde Timur, V. Gregory Weirs (Eds.), Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Lecture Notes in Computational Science and Engineering, Sept. 3-5, 2003,Springer,
-
Hervé Jourdren Hera, A hydrodynamic amr platform for multi-physics simulations, in: Plewa Tomasz, Linde Timur, V. Gregory Weirs (Eds.), Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Lecture Notes in Computational Science and Engineering, Sept. 3-5, 2003, vol. 41, Springer, 2005, pp. 283-294.
-
(2005)
, vol.41
, pp. 283-294
-
-
-
12
-
-
0000730858
-
An adaptive mesh refinement algorithm for the radiative transport equation
-
Patrick Jessee J., Fiveland Woodrow A., Howell Louis H., Colella Phillip, Pember Richard B. An adaptive mesh refinement algorithm for the radiative transport equation. J. Comput. Phys. 1998, 139(2):380-398.
-
(1998)
J. Comput. Phys.
, vol.139
, Issue.2
, pp. 380-398
-
-
Patrick Jessee, J.1
Fiveland, W.A.2
Howell, L.H.3
Colella, P.4
Pember, R.B.5
-
13
-
-
48749141209
-
Adaptive mesh refinement for hyperbolic partial differential equations
-
Berger Marsha J., Oliger Joseph Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys. 1984, 53(3):484-512.
-
(1984)
J. Comput. Phys.
, vol.53
, Issue.3
, pp. 484-512
-
-
Berger, M.J.1
Oliger, J.2
-
14
-
-
76749098255
-
Different algorithms of 2d transport equation parallelization on random non-orthogonal grids
-
Springer, F. Graziani (Ed.) Computational Methods in Transport, Granlibakken 2004
-
Shagaliev R.M., Alekseev A.V., Beliakov I.M., Gichuk A.V., Nuzhdin A.A., Rezchikov V.Yu. Different algorithms of 2d transport equation parallelization on random non-orthogonal grids. Lecture Notes in Computational Science and Engineering 2006, vol. 48:235-254. Springer. F. Graziani (Ed.).
-
(2006)
Lecture Notes in Computational Science and Engineering
, vol.48
, pp. 235-254
-
-
Shagaliev, R.M.1
Alekseev, A.V.2
Beliakov, I.M.3
Gichuk, A.V.4
Nuzhdin, A.A.5
Rezchikov, V.6
-
15
-
-
0035887880
-
Development of a radiation transport fluid dynamic code under amr scheme
-
Ogando F., Velarde P. Development of a radiation transport fluid dynamic code under amr scheme. J. Quant. Spectrosc. Radiative Transfer 2001, 71(2-6):541-550.
-
(2001)
J. Quant. Spectrosc. Radiative Transfer
, vol.71
, Issue.2-6
, pp. 541-550
-
-
Ogando, F.1
Velarde, P.2
-
16
-
-
0036567720
-
A block adaptive mesh refinement algorithm for the neutral particle transport equation
-
Baker Randal S. A block adaptive mesh refinement algorithm for the neutral particle transport equation. Nucl. Sci. Eng. 2002, 141(1):1-12.
-
(2002)
Nucl. Sci. Eng.
, vol.141
, Issue.1
, pp. 1-12
-
-
Baker, R.S.1
-
18
-
-
61349157276
-
A posteriori error estimator and AMR for discrete ordinates nodal transport methods
-
Duo Jose I., Azmy Yousry Y., Zikatanov Ludmil T. A posteriori error estimator and AMR for discrete ordinates nodal transport methods. Ann. Nucl. Energy 2009, 36:268-273.
-
(2009)
Ann. Nucl. Energy
, vol.36
, pp. 268-273
-
-
Duo, J.I.1
Azmy, Y.Y.2
Zikatanov, L.T.3
-
19
-
-
0035578307
-
Radiative transfer with finite elements
-
Richling S., Meinköhn E., Kryzhevoi N., Kanschat G. Radiative transfer with finite elements. Astron. Astrophys. 2001, 380:776-788.
-
(2001)
Astron. Astrophys.
, vol.380
, pp. 776-788
-
-
Richling, S.1
Meinköhn, E.2
Kryzhevoi, N.3
Kanschat, G.4
-
20
-
-
0031360794
-
A posteriori error control in radiative transfer
-
Führer C., Kanschat G. A posteriori error control in radiative transfer. Computing 1997, 58(4):317-334.
-
(1997)
Computing
, vol.58
, Issue.4
, pp. 317-334
-
-
Führer, C.1
Kanschat, G.2
-
21
-
-
23044494619
-
N-approximations to radiative heat transfer in glass
-
N-approximations to radiative heat transfer in glass. Int. J. Therm. Sci. 2005, 44:1013-1023.
-
(2005)
Int. J. Therm. Sci.
, vol.44
, pp. 1013-1023
-
-
Klar, A.1
Lang, J.2
Seaïd, M.3
-
22
-
-
0035156177
-
An adaptive approach to variational nodal diffusion problems
-
Zhang H., Lewis E. An adaptive approach to variational nodal diffusion problems. Nucl. Sci. Eng. 2001, 137:14-22.
-
(2001)
Nucl. Sci. Eng.
, vol.137
, pp. 14-22
-
-
Zhang, H.1
Lewis, E.2
-
24
-
-
51649090572
-
A simple Hessian-based 3D mesh adaptation technique with applications to the multigroup diffusion equations
-
Ragusa J. A simple Hessian-based 3D mesh adaptation technique with applications to the multigroup diffusion equations. Ann. Nucl. Energy 2008, 35:2006-2018.
-
(2008)
Ann. Nucl. Energy
, vol.35
, pp. 2006-2018
-
-
Ragusa, J.1
-
25
-
-
78649331716
-
Anisotropic metrics for mesh adaptation
-
Frey Pascal J., Alauzet Frederic Anisotropic metrics for mesh adaptation. Comput. Fluid Solid Mech. 2003, 2003:1936-1938.
-
(2003)
Comput. Fluid Solid Mech.
, vol.2003
, pp. 1936-1938
-
-
Frey, P.J.1
Alauzet, F.2
-
26
-
-
59349097855
-
Application of hp adaptivity to the multigroup diffusion equations
-
Wang Y., Ragusa J. Application of hp adaptivity to the multigroup diffusion equations. Nucl. Sci. Eng. 2009, 161(1):22-48.
-
(2009)
Nucl. Sci. Eng.
, vol.161
, Issue.1
, pp. 22-48
-
-
Wang, Y.1
Ragusa, J.2
-
27
-
-
60449094342
-
Three-dimensional h-adaptivity for the multigroup neutron diffusion equations
-
Wang Yaqi, Bangerth Wolfgang, Ragusa Jean Three-dimensional h-adaptivity for the multigroup neutron diffusion equations. Prog. Nucl. Energy 2008, 51:543-555.
-
(2008)
Prog. Nucl. Energy
, vol.51
, pp. 543-555
-
-
Wang, Y.1
Bangerth, W.2
Ragusa, J.3
-
29
-
-
85189842235
-
-
Pavel Solin, Partial Differential Equations and the Finite Element Method. Wiley, John & Sons Incorporated,
-
Pavel Solin, Partial Differential Equations and the Finite Element Method. Wiley, John & Sons Incorporated, 2005.
-
(2005)
-
-
-
32
-
-
67349126440
-
N transport equations on 2D unstructured triangular meshes
-
N transport equations on 2D unstructured triangular meshes. Ann. Nucl. Energy 2009, 36:931-939.
-
(2009)
Ann. Nucl. Energy
, vol.36
, pp. 931-939
-
-
Wang, Y.1
Ragusa, J.2
-
33
-
-
85189839663
-
-
Adaptive mesh refinement solution techniques for the multigroup SN transport equation using a high-order discontinuous finite element method, Ph.D. Dissertation, Texas A&M University, May
-
Y. Wang, Adaptive mesh refinement solution techniques for the multigroup SN transport equation using a high-order discontinuous finite element method, Ph.D. Dissertation, Texas A&M University, May 2009.
-
(2009)
-
-
Wang, Y.1
-
34
-
-
0026932474
-
Arbitrarily high order characteristic methods for solving the neutron transport equation
-
Azmy Yousry Y. Arbitrarily high order characteristic methods for solving the neutron transport equation. Ann. Nucl. Energy 1992, 19(10-12):593-606.
-
(1992)
Ann. Nucl. Energy
, vol.19
, Issue.10-12
, pp. 593-606
-
-
Azmy, Y.Y.1
-
36
-
-
0012187269
-
Convergence of a fully discrete scheme for two-dimensional neutron transport
-
Johnson C., Pitkäranta J. Convergence of a fully discrete scheme for two-dimensional neutron transport. SIAM J. Numer. Anal 1983, 20:951-966.
-
(1983)
SIAM J. Numer. Anal
, vol.20
, pp. 951-966
-
-
Johnson, C.1
Pitkäranta, J.2
-
37
-
-
0000182351
-
Stabilized hp-finite element methods for first-order hyperbolic problems
-
Houston P., Schwab C., Süli E. Stabilized hp-finite element methods for first-order hyperbolic problems. SIAM J. Numer. Anal. 2000, 37(5):1618-1643.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, Issue.5
, pp. 1618-1643
-
-
Houston, P.1
Schwab, C.2
Süli, E.3
-
38
-
-
26244437484
-
N spatial discretization scheme for tetrahedral meshes
-
N spatial discretization scheme for tetrahedral meshes. Nucl. Sci. Engr. 2005, 151:157-166.
-
(2005)
Nucl. Sci. Engr.
, vol.151
, pp. 157-166
-
-
Morel, J.E.1
Warsa, J.S.2
-
39
-
-
0036146114
-
Fast iterative methods for discrete-ordinates particle transport calculations
-
Adams Marvin L., Larsen Edward W. Fast iterative methods for discrete-ordinates particle transport calculations. Prog. Nucl. Energy 2002, 40(1):3-159.
-
(2002)
Prog. Nucl. Energy
, vol.40
, Issue.1
, pp. 3-159
-
-
Adams, M.L.1
Larsen, E.W.2
-
40
-
-
77958066388
-
N transport schemes and application to locally refined unstructured meshes
-
N transport schemes and application to locally refined unstructured meshes. Nucl. Sci. Engr. 2010, 166:145-166.
-
(2010)
Nucl. Sci. Engr.
, vol.166
, pp. 145-166
-
-
Wang, Y.1
Ragusa, J.2
-
41
-
-
0036410391
-
Unified analysis of discontinuous galerkin methods for elliptic problems
-
Arnold Douglas N., Brezzi Franco, Cockburn Bernardo, Donatella Marini L. Unified analysis of discontinuous galerkin methods for elliptic problems. SIAM J. Numer. Anal. 2002, 39(5):1749-1779.
-
(2002)
SIAM J. Numer. Anal.
, vol.39
, Issue.5
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Donatella Marini, L.4
-
42
-
-
0442328965
-
Goal-oriented hp-adaptivity for elliptic problems
-
Solin P., Demkowicz L. Goal-oriented hp-adaptivity for elliptic problems. Comput. Methods Appl. Mech. Eng. 2004, 193(6-8):449-468.
-
(2004)
Comput. Methods Appl. Mech. Eng.
, vol.193
, Issue.6-8
, pp. 449-468
-
-
Solin, P.1
Demkowicz, L.2
-
43
-
-
85189840726
-
-
Adaptive Finite Element Methods for the Compressible Euler Equations, Ph.D. Thesis, University of Heidelberg,
-
R. Hartmann, Adaptive Finite Element Methods for the Compressible Euler Equations, Ph.D. Thesis, University of Heidelberg, 2002.
-
(2002)
-
-
Hartmann, R.1
-
44
-
-
0012733086
-
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws
-
Hartmann R., Houston P. Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. SIAM J. Sci. Comput. 2002, 24:979-1004.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 979-1004
-
-
Hartmann, R.1
Houston, P.2
-
45
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
Eriksson K., Estep D., Hansbo P., Johnson C. Introduction to adaptive methods for differential equations. Acta Numer. 1995, 105-158.
-
(1995)
Acta Numer.
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
46
-
-
27744498160
-
-
Bounds for linear-functional outputs of coercive partial differential equations: Local indicators and adaptive refinement. In P. Ladevèze and J.T. Oden, editors, Proceedings of the Workshop on Advances in Adaptive Computational Methods in Mechanics, Cachan, 17-19 September 1997, pages 199-216. Elsevier,
-
J. Peraire, A.T. Patera, Bounds for linear-functional outputs of coercive partial differential equations: Local indicators and adaptive refinement. In P. Ladevèze and J.T. Oden, editors, Proceedings of the Workshop on Advances in Adaptive Computational Methods in Mechanics, Cachan, 17-19 September 1997, pages 199-216. Elsevier, 1998.
-
(1998)
-
-
Peraire, J.1
Patera, A.T.2
-
47
-
-
0030383153
-
A feed-back approach to error control in finite element methods: Basic analysis and examples
-
Becker R., Rannacher R. A feed-back approach to error control in finite element methods: Basic analysis and examples. East-West J. Numer. Math. 1996, 4:237-264.
-
(1996)
East-West J. Numer. Math.
, vol.4
, pp. 237-264
-
-
Becker, R.1
Rannacher, R.2
-
48
-
-
85022001969
-
An optimal control approach to error estimation and mesh adaptation in finite element methods
-
Becker R., Rannacher R. An optimal control approach to error estimation and mesh adaptation in finite element methods. Acta Numer. 2001, 10:1-102.
-
(2001)
Acta Numer.
, vol.10
, pp. 1-102
-
-
Becker, R.1
Rannacher, R.2
-
50
-
-
85189840950
-
-
Numerical Analysis of the Neutron Transport Equation, Numerical Solution of Partial Differential Equations-III, SYNSPADE 1975, Academic Press, San Diego, CA,
-
R.B. Kellogg, Numerical Analysis of the Neutron Transport Equation, Numerical Solution of Partial Differential Equations-III, SYNSPADE 1975, Academic Press, San Diego, CA, 1976.
-
(1976)
-
-
Kellogg, R.B.1
-
51
-
-
70349627938
-
On the convergence of DGFEM applied to the discrete ordinates transport equation for structured and unstructured triangular meshes
-
Wang Y., Ragusa J. On the convergence of DGFEM applied to the discrete ordinates transport equation for structured and unstructured triangular meshes. Nucl. Sci. Eng. 2009, 163:56-72.
-
(2009)
Nucl. Sci. Eng.
, vol.163
, pp. 56-72
-
-
Wang, Y.1
Ragusa, J.2
-
52
-
-
0037141035
-
An adaptive higher order method for solving the radiation transport equation on unstructured grids
-
Dedner A., Vollmller P. An adaptive higher order method for solving the radiation transport equation on unstructured grids. J. Comput. Phys. 2002, 178(2):263-289.
-
(2002)
J. Comput. Phys.
, vol.178
, Issue.2
, pp. 263-289
-
-
Dedner, A.1
Vollmller, P.2
-
53
-
-
0000299979
-
Spatial differencing of the transport equation: positivity vs. accuracy
-
Lathrop K.D. Spatial differencing of the transport equation: positivity vs. accuracy. J. Comput. Phys. 1969, 4:475-498.
-
(1969)
J. Comput. Phys.
, vol.4
, pp. 475-498
-
-
Lathrop, K.D.1
|