-
1
-
-
0003630916
-
Triangular mesh methods for the neutron transport equation, Technical Report, LA‐UR‐73‐479
-
1 W. H. Reed and T. R. Hill, Triangular mesh methods for the neutron transport equation, Technical Report, LA‐UR‐73‐479, Los Alamos Scientific Laboratory, 1973.
-
(1973)
-
-
Reed, W.H.1
Hill, T.R.2
-
2
-
-
84966246413
-
TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: general framework
-
2 B. Cockburn and C.‐W. Shu, TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: general framework, Math Comp 52 (1989), 411–435.
-
(1989)
Math Comp
, vol.52
, pp. 411-435
-
-
Cockburn, B.1
Shu, C.‐W.2
-
3
-
-
0000107217
-
Explicit finite element methods for symmetric hyperbolic equations
-
3 R. S. Falk and G. R. Richter, Explicit finite element methods for symmetric hyperbolic equations, Math Comp 70 (1999), 935–952.
-
(1999)
Math Comp
, vol.70
, pp. 935-952
-
-
Falk, R.S.1
Richter, G.R.2
-
4
-
-
84966238599
-
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
-
4 C. Johnson and J. Pitkaränta, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math Comp 46 (1986), 1–26.
-
(1986)
Math Comp
, vol.46
, pp. 1-26
-
-
Johnson, C.1
Pitkaränta, J.2
-
5
-
-
0002763761
-
On a finite element method for solving the neutron transport equation, in Mathematical Aspects of Finite Elements in Partial Differential Equations
-
5 P. LeSaint and P. A. Raviart, On a finite element method for solving the neutron transport equation, in Mathematical Aspects of Finite Elements in Partial Differential Equations, C. de Boor, ed., Academic Press, New York, 1974, 89–145.
-
(1974)
, pp. 89-145
-
-
LeSaint, P.1
Raviart, P.A.2
-
6
-
-
0004610152
-
An optimal‐order error estimate of the discontinuous Galerkin method
-
6 Q. Lin, N. Yan, and A.‐H. Zou, An optimal‐order error estimate of the discontinuous Galerkin method, J Eng Math 13 (1996), 101–105.
-
(1996)
J Eng Math
, vol.13
, pp. 101-105
-
-
Lin, Q.1
Yan, N.2
Zou, A.‐H.3
-
7
-
-
84966227504
-
An optimal‐order error estimate for the discontinuous Galerkin method
-
7 G. R. Richter, An optimal‐order error estimate for the discontinuous Galerkin method, Math Comp 50 (1988), 75–88.
-
(1988)
Math Comp
, vol.50
, pp. 75-88
-
-
Richter, G.R.1
-
8
-
-
77954673424
-
An implicit matching principle for global element calculations
-
8 L. M. Delves and C. A. Hall, An implicit matching principle for global element calculations, J Inst Math Appl 23 (1979), 223–234.
-
(1979)
J Inst Math Appl
, vol.23
, pp. 223-234
-
-
Delves, L.M.1
Hall, C.A.2
-
9
-
-
0001163226
-
An interior penalty finite element method with discontinuous elements
-
9 D. N. Arnold, An interior penalty finite element method with discontinuous elements, SIAM J Numer Anal 19 (1982), 742–760.
-
(1982)
SIAM J Numer Anal
, vol.19
, pp. 742-760
-
-
Arnold, D.N.1
-
10
-
-
0001456343
-
-
10 J. Douglas, Jr. and T. Dupont, Interior penalty procedures for elliptic and parabolic Galerkin methods, Lecture Notes in Physics, vol. 58, Springer‐Verlag, Berlin, 1976, 207–216.
-
(1976)
, vol.58
, pp. 207-216
-
-
Douglas, J.1
Dupont, T.2
-
11
-
-
0000802762
-
An elliptic collocation‐finite element method with interior penalties
-
11 M. F. Wheeler, An elliptic collocation‐finite element method with interior penalties, SIAM J Numer Anal 15 (1978), 152–161.
-
(1978)
SIAM J Numer Anal
, vol.15
, pp. 152-161
-
-
Wheeler, M.F.1
-
12
-
-
0001537143
-
Nonconforming elements in the finite element method with penalty
-
12 I. Babus̆ka and M. Zlámal, Nonconforming elements in the finite element method with penalty, SIAM J Numer Anal 10 (1973), 863–875.
-
(1973)
SIAM J Numer Anal
, vol.10
, pp. 863-875
-
-
Babus̆ka, I.1
Zlámal, M.2
-
13
-
-
84904152686
-
Finite element methods for elliptic equations using nonconforming elements
-
13 G. A. Baker, Finite element methods for elliptic equations using nonconforming elements, Math Comp 31 (1977), 45–59.
-
(1977)
Math Comp
, vol.31
, pp. 45-59
-
-
Baker, G.A.1
-
14
-
-
0032209437
-
A discontinuous hp finite element method for diffusion problems
-
14 J. T. Oden, I. Babus̆ka, and C. E. Baumann, A discontinuous hp finite element method for diffusion problems, J Comput Phys 146 (1998), 491–519.
-
(1998)
J Comput Phys
, vol.146
, pp. 491-519
-
-
Oden, J.T.1
Babus̆ka, I.2
Baumann, C.E.3
-
15
-
-
0033511173
-
Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I
-
15 B. Rivière, M. F. Wheeler, and V. Girault, Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I. Computational Geosciences 3 (1999), 337–360.
-
(1999)
Computational Geosciences
, vol.3
, pp. 337-360
-
-
Rivière, B.1
Wheeler, M.F.2
Girault, V.3
-
16
-
-
0034930339
-
On the relationship of various discontinuous finite element methods for second‐Order elliptic equations
-
16 Z. Chen, On the relationship of various discontinuous finite element methods for second‐Order elliptic equations, East‐West J Numer Math 9 (2001), 99–122.
-
(2001)
East‐West J Numer Math
, vol.9
, pp. 99-122
-
-
Chen, Z.1
-
17
-
-
0021587596
-
Discontinuous upwinding and mixed finite elements for two‐phase flows in reservoir simulation
-
17 G. Chavent and J. Jaffre, Discontinuous upwinding and mixed finite elements for two‐phase flows in reservoir simulation, Comput Methods Appl Mech Eng 47 (1984), 93–118.
-
(1984)
Comput Methods Appl Mech Eng
, vol.47
, pp. 93-118
-
-
Chavent, G.1
Jaffre, J.2
-
18
-
-
0004632908
-
Stability and convergence of a finite element method for reactive transport in ground water
-
18 Z. Chen and R. E Ewing, Stability and convergence of a finite element method for reactive transport in ground water, SIAM J Numer Anal 34 (1997), 881–904.
-
(1997)
SIAM J Numer Anal
, vol.34
, pp. 881-904
-
-
Chen, Z.1
E Ewing, R.2
-
19
-
-
0003941155
-
Quadrature‐free implementation of discontinuous Galerkin methods for hyperbolic equations, ICASE report 96–51
-
19 H. L. Atkins and C.‐W. Shu, Quadrature‐free implementation of discontinuous Galerkin methods for hyperbolic equations, ICASE report 96–51, 1996.
-
(1996)
-
-
Atkins, H.L.1
Shu, C.‐W.2
-
20
-
-
0003347887
-
A Runge‐Kutta discontinuous finite element method for high speed flows
-
20 K. S. Bey and J. T. Oden, A Runge‐Kutta discontinuous finite element method for high speed flows, in AIAA 10th Computational Fluid Dynamics Conference, June 1991.
-
(1991)
-
-
Bey, K.S.1
Oden, J.T.2
-
21
-
-
0003828734
-
Compact higher‐order numerical methods for hyperbolic conservation laws
-
21 R. B. Lowrie, Compact higher‐order numerical methods for hyperbolic conservation laws, Ph.D. Dissertation, University of Michigan, 1996.
-
(1996)
-
-
Lowrie, R.B.1
-
22
-
-
0000449846
-
Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode
-
22 Z. Chen, B. Cockburn, C. Gardner, and J. W. Jerome, Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode, J Comput Phys 117 (1995), 274–280.
-
(1995)
J Comput Phys
, vol.117
, pp. 274-280
-
-
Chen, Z.1
Cockburn, B.2
Gardner, C.3
Jerome, J.W.4
-
23
-
-
0029482835
-
Mixed‐RKDG finite element methods for the 2‐D hydrodynamic model for semiconductor device simulation
-
23 Z. Chen, B. Cockburn, J. W. Jerome, and C.‐W. Shu, Mixed‐RKDG finite element methods for the 2‐D hydrodynamic model for semiconductor device simulation, VLSI Designs 3 (1995), 145–158.
-
(1995)
VLSI Designs
, vol.3
, pp. 145-158
-
-
Chen, Z.1
Cockburn, B.2
Jerome, J.W.3
Shu, C.‐W.4
-
24
-
-
0028407037
-
Parallel, adaptive finite element methods for conservation laws
-
24 R. Biswas, K. D. Devine, and J. Flaherty, Parallel, adaptive finite element methods for conservation laws, Appl Numer Math 14 (1994), 255–283.
-
(1994)
Appl Numer Math
, vol.14
, pp. 255-283
-
-
Biswas, R.1
Devine, K.D.2
Flaherty, J.3
-
25
-
-
0001416032
-
A high‐order accurate discontinuous finite element method for the numerical solution of the compressible Navier‐Stokes equations
-
25 F. Bassi and S. Rebay, A high‐order accurate discontinuous finite element method for the numerical solution of the compressible Navier‐Stokes equations, J Comput Phys 131 (1997), 267–279.
-
(1997)
J Comput Phys
, vol.131
, pp. 267-279
-
-
Bassi, F.1
Rebay, S.2
-
26
-
-
0001175293
-
-
26 R. Raviart and J. Thomas, A mixed finite element method for second order elliptic problems, Lecture Notes in Mathematics, vol. 606, Springer, Berlin, 1977, pp. 292–315.
-
(1977)
, vol.606
, pp. 292-315
-
-
Raviart, R.1
Thomas, J.2
-
27
-
-
0002329650
-
The approximation of the pressure by a mixed method in the simulation of miscible displacement
-
27 J. Douglas, Jr., R. E. Ewing, and M. Wheeler, The approximation of the pressure by a mixed method in the simulation of miscible displacement, RAIRO Anal Numér 17 (1983), 17–33.
-
(1983)
RAIRO Anal Numér
, vol.17
, pp. 17-33
-
-
Douglas, J.1
Ewing, R.E.2
Wheeler, M.3
-
28
-
-
0003450356
-
The Mathematics of Reservoir Simulation
-
28 R. E. Ewing (ed.), The Mathematics of Reservoir Simulation, SIAM, Philadelphia, 1983.
-
(1983)
-
-
-
29
-
-
0344393366
-
The local discontinuous Galerkin method for time‐dependent convection‐diffusion systems
-
29 B. Cockburn and C.‐W. Shu, The local discontinuous Galerkin method for time‐dependent convection‐diffusion systems, SIAM J Numer Anal 35 (1998), 2440–2463.
-
(1998)
SIAM J Numer Anal
, vol.35
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, C.‐W.2
-
30
-
-
0000021553
-
Discontinuous Galerkin approximations for elliptic problems
-
30 F. Brezzi, G. Manzini, L. D. Marini, P. Pietra, and A. Russo, Discontinuous Galerkin approximations for elliptic problems, Numer Methods PDEs 16 (2000), 365–378.
-
(2000)
Numer Methods PDEs
, vol.16
, pp. 365-378
-
-
Brezzi, F.1
Manzini, G.2
Marini, L.D.3
Pietra, P.4
Russo, A.5
-
31
-
-
0037192724
-
Characteristics‐discontinuous finite element methods in mixed form for advection‐dominated diffusion problems
-
31 Z. Chen, Characteristics‐discontinuous finite element methods in mixed form for advection‐dominated diffusion problems, Comp Meth Appl Mech Engrg 191 (2000), 2509–2538.
-
(2000)
Comp Meth Appl Mech Engrg
, vol.191
, pp. 2509-2538
-
-
Chen, Z.1
-
32
-
-
85120592959
-
Optimal a priori error estimates for the hp‐version of the local discontinuous Galerkin methods for convection diffusion problems, UMSI 2000/24
-
32 P. Castillo, B. Cockburn, D. Schotzau, and C. Schwab, Optimal a priori error estimates for the hp ‐version of the local discontinuous Galerkin methods for convection diffusion problems, UMSI 2000/24, University of Minnesota Supercomputing Institute Research Report, Minnesota, 2000.
-
(2000)
-
-
Castillo, P.1
Cockburn, B.2
Schotzau, D.3
Schwab, C.4
-
33
-
-
85120589491
-
Stability and convergence of mixed discontinuous finite element methods for second‐order differential problems
-
33 H. Chen and Z. Chen, Stability and convergence of mixed discontinuous finite element methods for second‐order differential problems, to appear.
-
-
-
Chen, H.1
Chen, Z.2
-
34
-
-
0000026672
-
The hp‐version of the finite element method with quasiuniform meshes
-
34 I. Babus̆ka and M. Suri, The hp ‐version of the finite element method with quasiuniform meshes, Math Modeling Numer Anal 21 (1987), 199–238.
-
(1987)
Math Modeling Numer Anal
, vol.21
, pp. 199-238
-
-
Babus̆ka, I.1
Suri, M.2
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