-
1
-
-
0001804939
-
Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates
-
Arnold D.N., and Brezzi F. Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. Math. Model. Numer. Anal. 19 (1985) 7-32
-
(1985)
Math. Model. Numer. Anal.
, vol.19
, pp. 7-32
-
-
Arnold, D.N.1
Brezzi, F.2
-
2
-
-
3342980847
-
Numerical solution of the neutron diffusion equation in the presence of corners and interfaces
-
International Atomic Energy Agency, Vienna
-
Babuška I., and Kellogg R.B. Numerical solution of the neutron diffusion equation in the presence of corners and interfaces. Numerical Reactor Calculations (1972), International Atomic Energy Agency, Vienna 473-486
-
(1972)
Numerical Reactor Calculations
, pp. 473-486
-
-
Babuška, I.1
Kellogg, R.B.2
-
3
-
-
0038063741
-
Nodal methods in transport theory
-
Lewins J., and Becker M. (Eds), Plenum Press, New York
-
Badruzzaman A. Nodal methods in transport theory. In: Lewins J., and Becker M. (Eds). Advances in Nuclear Science and Technology vol. 21 (1990), Plenum Press, New York 1-119
-
(1990)
Advances in Nuclear Science and Technology
, vol.21
, pp. 1-119
-
-
Badruzzaman, A.1
-
4
-
-
85162725910
-
Discretizations errors for well-set Cauchy problems
-
Birkhoff G., and Varga R.S. Discretizations errors for well-set Cauchy problems. J. Math. Phys. 44 (1961) 1-23
-
(1961)
J. Math. Phys.
, vol.44
, pp. 1-23
-
-
Birkhoff, G.1
Varga, R.S.2
-
5
-
-
34250118577
-
Two families of mixed finite elements for second order elliptic problems
-
Brezzi F., Douglas Jr. J., and Marini L.D. Two families of mixed finite elements for second order elliptic problems. Numer. Math. 47 (1985) 217-235
-
(1985)
Numer. Math.
, vol.47
, pp. 217-235
-
-
Brezzi, F.1
Douglas Jr., J.2
Marini, L.D.3
-
8
-
-
8544220284
-
Basic error estimates for elliptic problems
-
Ciarlet P.G., and Lions J.L. (Eds), North Holland, Amsterdam
-
Ciarlet P.G. Basic error estimates for elliptic problems. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of Numerical Analysis vol . II (1991), North Holland, Amsterdam 19-351
-
(1991)
Handbook of Numerical Analysis
, vol.II
, pp. 19-351
-
-
Ciarlet, P.G.1
-
9
-
-
0018006002
-
Spectrum of the multigroup-multipoint operator with delayed neutrons
-
Devooght J. Spectrum of the multigroup-multipoint operator with delayed neutrons. Nucl. Sci. Eng. 67 (1978) 147-161
-
(1978)
Nucl. Sci. Eng.
, vol.67
, pp. 147-161
-
-
Devooght, J.1
-
10
-
-
34147097694
-
New methods for space-dependent kinetics
-
International Atomic Energy Agency, Vienna
-
Devooght J., Jaucot A., and Machgeels C. New methods for space-dependent kinetics. Numerical Reactor Calculations (1972), International Atomic Energy Agency, Vienna 657-674
-
(1972)
Numerical Reactor Calculations
, pp. 657-674
-
-
Devooght, J.1
Jaucot, A.2
Machgeels, C.3
-
11
-
-
0021903685
-
Numerical solution of neutron kinetics equations using A-stable algorithms
-
Devooght J., and Mund E. Numerical solution of neutron kinetics equations using A-stable algorithms. Prog. Nucl. Energy 16 (1985) 97-126
-
(1985)
Prog. Nucl. Energy
, vol.16
, pp. 97-126
-
-
Devooght, J.1
Mund, E.2
-
12
-
-
0039275287
-
Light water reactor space-dependent core dynamics computer programs
-
Lewins J., and Becker M. (Eds), Plenum Press, New York
-
Diamond D.J., and Todosow M. Light water reactor space-dependent core dynamics computer programs. In: Lewins J., and Becker M. (Eds). Advances in Nuclear Science and Technology vol. 18 (1986), Plenum Press, New York 357-417
-
(1986)
Advances in Nuclear Science and Technology
, vol.18
, pp. 357-417
-
-
Diamond, D.J.1
Todosow, M.2
-
13
-
-
0038231394
-
Modern coarse-mesh methods. A development of the 70s
-
pp. 3-1-3-31
-
Dorning J.J. Modern coarse-mesh methods. A development of the 70s. Computational Methods in Nuclear Engineering vol. 1 (1979) pp. 3-1-3-31
-
(1979)
Computational Methods in Nuclear Engineering
, vol.1
-
-
Dorning, J.J.1
-
16
-
-
34147120372
-
A short survey of parabolic Galerkin methods
-
Griffiths D.F. (Ed), Clarendon Press, Oxford
-
Dupont T. A short survey of parabolic Galerkin methods. In: Griffiths D.F. (Ed). The Mathematical Basis of Finite Element Methods (1984), Clarendon Press, Oxford 27-40
-
(1984)
The Mathematical Basis of Finite Element Methods
, pp. 27-40
-
-
Dupont, T.1
-
17
-
-
0039411239
-
A-stable methods and Padé approximations to the exponential
-
Ehle B.L. A-stable methods and Padé approximations to the exponential. SIAM J. Math. Anal. 4 (1973) 671-680
-
(1973)
SIAM J. Math. Anal.
, vol.4
, pp. 671-680
-
-
Ehle, B.L.1
-
18
-
-
34147170729
-
-
Fédon-Magnaud, C., Hennart, J.P., Lautard, J.J., 1973. On the relationship between some nodal schemes and the finite element method in static diffusion calculations. Advances in Reactor Computations, vol. 2. American Nuclear Society, Salt Lake City, Utah, pp. 987-1000.
-
-
-
-
19
-
-
0012144725
-
The finite element method in solid mechanics
-
Numerical Solution of Field Problems in Continuum Physics
-
Felippa C.A., and Clough R.W. The finite element method in solid mechanics. Numerical Solution of Field Problems in Continuum Physics. SIAM-AMS Proceedings vol. II (1956) 210-252
-
(1956)
SIAM-AMS Proceedings
, vol.II
, pp. 210-252
-
-
Felippa, C.A.1
Clough, R.W.2
-
20
-
-
0016866429
-
-
Ferguson, D.R., 1975. Multidimensional reactor dynamics: an overview. In: Computational Methods in Nuclear Engineering, CONF-750413, Charleston, pp. VI 49-67.
-
-
-
-
21
-
-
0017725628
-
Interface current techniques for multidimensional reactor calculations
-
Finneman H., Bennewitz F., and Wagner M.R. Interface current techniques for multidimensional reactor calculations. Atomkernenergie 30 (1977) 123-128
-
(1977)
Atomkernenergie
, vol.30
, pp. 123-128
-
-
Finneman, H.1
Bennewitz, F.2
Wagner, M.R.3
-
23
-
-
84915068606
-
Flux synthesis methods versus difference approximation methods of neutron flux distributions in fast and thermal reactors
-
International Atomic Energy Agency, Vienna
-
Froehlich R. Flux synthesis methods versus difference approximation methods of neutron flux distributions in fast and thermal reactors. Numerical Reactor Calculations (1972), International Atomic Energy Agency, Vienna 591-611
-
(1972)
Numerical Reactor Calculations
, pp. 591-611
-
-
Froehlich, R.1
-
26
-
-
0019712405
-
Nodal methods for three-dimensional simulators
-
Gupta N.K. Nodal methods for three-dimensional simulators. Prog. Nucl. Energy 7 (1981) 127-149
-
(1981)
Prog. Nucl. Energy
, vol.7
, pp. 127-149
-
-
Gupta, N.K.1
-
29
-
-
0019652931
-
A unified formalism for spatial discretization schemes of transport equations in slab geometry
-
Hennart J.P. A unified formalism for spatial discretization schemes of transport equations in slab geometry. Ann. Nucl. Energy 8 (1981) 677-681
-
(1981)
Ann. Nucl. Energy
, vol.8
, pp. 677-681
-
-
Hennart, J.P.1
-
30
-
-
0001720158
-
A general family of nodal schemes
-
Hennart J.P. A general family of nodal schemes. SIAM J. Sci. Stat. Comput. 3 (1986) 264-287
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.3
, pp. 264-287
-
-
Hennart, J.P.1
-
31
-
-
34147106217
-
Nodal methods for the numerical solution of partial differential equations
-
Springer-Verlag, Berlin pp. 175-190
-
Hennart J.P. Nodal methods for the numerical solution of partial differential equations. Lecture Notes in Mathematics vol. 1230 (1986), Springer-Verlag, Berlin pp. 175-190
-
(1986)
Lecture Notes in Mathematics
, vol.1230
-
-
Hennart, J.P.1
-
32
-
-
84950060873
-
A generalized nodal finite element formalism for discrete ordinates equations in slab geometry - Part I: theory in the continuous moment case
-
Hennart J.P., and del Valle E. A generalized nodal finite element formalism for discrete ordinates equations in slab geometry - Part I: theory in the continuous moment case. Transp. Theory Stat. Phys. 24 (1995) 449-478
-
(1995)
Transp. Theory Stat. Phys.
, vol.24
, pp. 449-478
-
-
Hennart, J.P.1
del Valle, E.2
-
33
-
-
84950059791
-
A generalized nodal finite element formalism for discrete ordinates equations in slab geometry - Part II: theory in the discontinuous moment case
-
Hennart J.P., and del Valle E. A generalized nodal finite element formalism for discrete ordinates equations in slab geometry - Part II: theory in the discontinuous moment case. Transp. Theory Stat. Phys. 24 (1995) 479-504
-
(1995)
Transp. Theory Stat. Phys.
, vol.24
, pp. 479-504
-
-
Hennart, J.P.1
del Valle, E.2
-
34
-
-
34147141645
-
Discrete-ordinates equations in slab geometry: a mixed-hybrid nodal version of the diffusion acceleration method
-
Gómez S., Hennart J.P., and Tapia R.A. (Eds), SIAM, Philadelphia
-
Hennart J.P., del Valle, and Valdés J. Discrete-ordinates equations in slab geometry: a mixed-hybrid nodal version of the diffusion acceleration method. In: Gómez S., Hennart J.P., and Tapia R.A. (Eds). Advances in Numerical Partial Differential Equations and Optimization (1991), SIAM, Philadelphia 141-157
-
(1991)
Advances in Numerical Partial Differential Equations and Optimization
, pp. 141-157
-
-
Hennart, J.P.1
del Valle2
Valdés, J.3
-
35
-
-
0009930435
-
A constructive method for deriving finite elements of nodal type
-
Hennart J.P., Jaffré J., and Roberts J.E. A constructive method for deriving finite elements of nodal type. Numer. Math. 53 (1988) 701-738
-
(1988)
Numer. Math.
, vol.53
, pp. 701-738
-
-
Hennart, J.P.1
Jaffré, J.2
Roberts, J.E.3
-
36
-
-
0017418002
-
Singularities in the finite element approximation of two dimensional diffusion problems
-
Hennart J.P., and Mund E. Singularities in the finite element approximation of two dimensional diffusion problems. Nucl. Sci. Eng. 62 (1975) 55-68
-
(1975)
Nucl. Sci. Eng.
, vol.62
, pp. 55-68
-
-
Hennart, J.P.1
Mund, E.2
-
37
-
-
0038790030
-
Third order nodal finite element methods with transverse and reduced integration for elliptic problems
-
Hennart J.P., Mund E., and del Valle E. Third order nodal finite element methods with transverse and reduced integration for elliptic problems. Appl. Numer. Math. 46 (2003) 209-230
-
(2003)
Appl. Numer. Math.
, vol.46
, pp. 209-230
-
-
Hennart, J.P.1
Mund, E.2
del Valle, E.3
-
38
-
-
34147141122
-
Generalized Padé and Chebyshev approximations for point kinetics
-
Hennart J.P., and Torres B. Generalized Padé and Chebyshev approximations for point kinetics. Nucl. Sci. Eng. 59 (1976) 170-187
-
(1976)
Nucl. Sci. Eng.
, vol.59
, pp. 170-187
-
-
Hennart, J.P.1
Torres, B.2
-
39
-
-
34147135296
-
-
Henry, A.F., 1969. Review of computational methods for space-time kinetics. In: The Effective Use of Computers in the Nuclear Industry. American Nuclear Society, Knoxville, Tennessee, pp. 3-15.
-
-
-
-
40
-
-
0008946680
-
Refinements in accuracy of coarse-mesh finite-difference solution of the group-diffusion equations
-
International Atomic Energy Agency, Vienna
-
Henry A.F. Refinements in accuracy of coarse-mesh finite-difference solution of the group-diffusion equations. Numerical Reactor Calculations (1972), International Atomic Energy Agency, Vienna 447-471
-
(1972)
Numerical Reactor Calculations
, pp. 447-471
-
-
Henry, A.F.1
-
41
-
-
84963378625
-
Review of computational methods for space-dependent kinetics
-
Hetrick D.L. (Ed), University of Arizona Press, Tucson, AZ
-
Henry A.F. Review of computational methods for space-dependent kinetics. In: Hetrick D.L. (Ed). Dynamics of Nuclear Systems (1972), University of Arizona Press, Tucson, AZ 9-21
-
(1972)
Dynamics of Nuclear Systems
, pp. 9-21
-
-
Henry, A.F.1
-
43
-
-
0015656834
-
Finite element methods for reactor analysis
-
Kang C.M., and Hansen K.F. Finite element methods for reactor analysis. Nucl. Sci. Eng. 51 (1973) 456-495
-
(1973)
Nucl. Sci. Eng.
, vol.51
, pp. 456-495
-
-
Kang, C.M.1
Hansen, K.F.2
-
46
-
-
0017526424
-
Coarse-mesh flux-expansion method for the analysis of space-time effects in large light water reactor cores
-
Langenbuch S., Maurer W., and Werner W. Coarse-mesh flux-expansion method for the analysis of space-time effects in large light water reactor cores. Nucl. Sci. Eng. 63 (1977) 437-456
-
(1977)
Nucl. Sci. Eng.
, vol.63
, pp. 437-456
-
-
Langenbuch, S.1
Maurer, W.2
Werner, W.3
-
47
-
-
0017548034
-
High-order schemes for neutron kinetics calculations, based on a local polynomial approximation
-
Langenbuch S., Maurer W., and Werner W. High-order schemes for neutron kinetics calculations, based on a local polynomial approximation. Nucl. Sci. Eng. 64 (1977) 508-516
-
(1977)
Nucl. Sci. Eng.
, vol.64
, pp. 508-516
-
-
Langenbuch, S.1
Maurer, W.2
Werner, W.3
-
48
-
-
0022902897
-
Progress in nodal methods for the solution of the neutron diffusion and transport equations
-
Lawrence R.D. Progress in nodal methods for the solution of the neutron diffusion and transport equations. Prog. Nucl. Eng. 17 (1986) 271-301
-
(1986)
Prog. Nucl. Eng.
, vol.17
, pp. 271-301
-
-
Lawrence, R.D.1
-
49
-
-
0019078767
-
A nodal Green's function method for multidimensional neutron diffusion calculations
-
Lawrence R.D., and Dorning J.J. A nodal Green's function method for multidimensional neutron diffusion calculations. Nucl. Sci. Eng. 76 (1980) 218-231
-
(1980)
Nucl. Sci. Eng.
, vol.76
, pp. 218-231
-
-
Lawrence, R.D.1
Dorning, J.J.2
-
50
-
-
0016881029
-
On the convergence of Wilson's nonconforming element for solving the elastic problem
-
Lesaint P. On the convergence of Wilson's nonconforming element for solving the elastic problem. Comput. Methods Appl. Mech. Eng. 7 (1976) 1-16
-
(1976)
Comput. Methods Appl. Mech. Eng.
, vol.7
, pp. 1-16
-
-
Lesaint, P.1
-
52
-
-
0001307370
-
A new solution of the point kinetics equations
-
da Nobrega J.A.W. A new solution of the point kinetics equations. Nucl. Sci. Eng. 46 (1971) 366-375
-
(1971)
Nucl. Sci. Eng.
, vol.46
, pp. 366-375
-
-
da Nobrega, J.A.W.1
-
53
-
-
0041126745
-
A new diffusion nodal method based on analytical function expansion
-
Noh J.M., and Cho N.V. A new diffusion nodal method based on analytical function expansion. Trans. Am. Nucl. Soc. 69 (1993) 162-163
-
(1993)
Trans. Am. Nucl. Soc.
, vol.69
, pp. 162-163
-
-
Noh, J.M.1
Cho, N.V.2
-
54
-
-
0041634739
-
A self -consistent nodal method in response matrix formalism for the multigroup diffusion equations
-
Malambu E.M., and Mund E.H. A self -consistent nodal method in response matrix formalism for the multigroup diffusion equations. Ann. Nucl. Energy 23 (1996) 99-118
-
(1996)
Ann. Nucl. Energy
, vol.23
, pp. 99-118
-
-
Malambu, E.M.1
Mund, E.H.2
-
55
-
-
34147164763
-
Some numerical methods for problems in reactor kinetics
-
Numerical Solution of Field Problems in Continuum Physics
-
Porshing T.A., and Henry A.F. Some numerical methods for problems in reactor kinetics. Numerical Solution of Field Problems in Continuum Physics. SIAM-AMS Proceedings vol. II (1970) 95-110
-
(1970)
SIAM-AMS Proceedings
, vol.II
, pp. 95-110
-
-
Porshing, T.A.1
Henry, A.F.2
-
56
-
-
0001175293
-
A mixed finite element method for second order elliptic problems
-
pp. 292-315
-
Raviart P.A., and Thomas J.M. A mixed finite element method for second order elliptic problems. Lecture Notes in Mathematics vol. 606 (1977) pp. 292-315
-
(1977)
Lecture Notes in Mathematics
, vol.606
-
-
Raviart, P.A.1
Thomas, J.M.2
-
58
-
-
0022860977
-
Assembly homogenization techniques for light water reactors
-
Smith K.S. Assembly homogenization techniques for light water reactors. Prog. Nucl. Eng. 17 (1986) 303-335
-
(1986)
Prog. Nucl. Eng.
, vol.17
, pp. 303-335
-
-
Smith, K.S.1
-
59
-
-
34147095648
-
-
Smith, K.S., Greenman, G., Henry, A.F., 1977. Recent advances in an analytical nodal method for static and transient reactor analysis. In: Proceedings of the American Nuclear Meeting in Computational Methods in Nuclear Engineering, vol. I. Williamsburg, Virginia, pp. 3.49-3.71.
-
-
-
-
61
-
-
0001448237
-
Diffusion theory methods for spatial kinetics calculations
-
Sutton T.M., and Aviles B.N. Diffusion theory methods for spatial kinetics calculations. Prog. Nucl. Energy 30 (1996) 119-182
-
(1996)
Prog. Nucl. Energy
, vol.30
, pp. 119-182
-
-
Sutton, T.M.1
Aviles, B.N.2
-
62
-
-
0003208045
-
Galerkin finite element methods for parabolic problems
-
Springer-Verlag, Berlin
-
Thomée V. Galerkin finite element methods for parabolic problems. Lecture Notes in Mathematics vol. 1054 (1984), Springer-Verlag, Berlin
-
(1984)
Lecture Notes in Mathematics
, vol.1054
-
-
Thomée, V.1
-
63
-
-
21844501031
-
A generalized nodal finite element formalism for discrete ordinates equations in slab geometry - Part III: numerical results
-
del Valle E., and Hennart J.P. A generalized nodal finite element formalism for discrete ordinates equations in slab geometry - Part III: numerical results. Transp. Theory Stat. Phys. 24 (1995) 505-533
-
(1995)
Transp. Theory Stat. Phys.
, vol.24
, pp. 505-533
-
-
del Valle, E.1
Hennart, J.P.2
-
64
-
-
85163206922
-
On higher order stable implicit methods for solving parabolic partial differential equations
-
Varga R.S. On higher order stable implicit methods for solving parabolic partial differential equations. J. Math. Phys. 40 (1961) 220-231
-
(1961)
J. Math. Phys.
, vol.40
, pp. 220-231
-
-
Varga, R.S.1
-
65
-
-
31644432026
-
Order stars and stability theorems
-
Wanner G., Hairer E., and Nørsett S.P. Order stars and stability theorems. BIT 18 (1978) 475-489
-
(1978)
BIT
, vol.18
, pp. 475-489
-
-
Wanner, G.1
Hairer, E.2
Nørsett, S.P.3
-
66
-
-
0040459832
-
Kinetics of nuclear systems
-
Henley E.J., Lewins J., and Becker M. (Eds), Plenum Publishing Corporation, New York, NY
-
Werner W. Kinetics of nuclear systems. In: Henley E.J., Lewins J., and Becker M. (Eds). Advances in Nuclear Science and Technology vol. 10 (1977), Plenum Publishing Corporation, New York, NY 313-364
-
(1977)
Advances in Nuclear Science and Technology
, vol.10
, pp. 313-364
-
-
Werner, W.1
-
67
-
-
0000173445
-
Some numerical experiments concerning space-time reactor kinetics behavior
-
Yasinsky J.B., and Henry A.F. Some numerical experiments concerning space-time reactor kinetics behavior. Nucl. Sci. Eng. 22 (1965) 171-181
-
(1965)
Nucl. Sci. Eng.
, vol.22
, pp. 171-181
-
-
Yasinsky, J.B.1
Henry, A.F.2
-
68
-
-
0029392031
-
Systematic homogenization and self-consistent flux and pin power reconstruction for nodal diffusion methods-I: diffusion equation-based theory
-
Zhang H., Rizwan-Uddin, and Dorning J.J. Systematic homogenization and self-consistent flux and pin power reconstruction for nodal diffusion methods-I: diffusion equation-based theory. Nucl. Sci. Eng. 121 (1995) 226-244
-
(1995)
Nucl. Sci. Eng.
, vol.121
, pp. 226-244
-
-
Zhang, H.1
Rizwan-Uddin2
Dorning, J.J.3
|