-
1
-
-
0034306644
-
Local discontinuous Galerkin method for contaminant transport
-
AIZINGER, V., DAWSON, C. N., COCKBURN, B. & CASTILLO, P. (2000) Local discontinuous Galerkin method for contaminant transport. Adv. Water Resour., 24, 73-87.
-
(2000)
Adv. Water Resour.
, vol.24
, pp. 73-87
-
-
Aizinger, V.1
Dawson, C.N.2
Cockburn, B.3
Castillo, P.4
-
2
-
-
0001163226
-
An interior penalty finite element method with discontinuous elements
-
ARNOLD, D. N. (1982) An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal., 19, 742-760.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 742-760
-
-
Arnold, D.N.1
-
3
-
-
0001804939
-
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates
-
ARNOLD, D. N. & BREZZI, F. (1985) Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. Math. Model. Numer. Anal., 19, 7-32.
-
(1985)
Math. Model. Numer. Anal.
, vol.19
, pp. 7-32
-
-
Arnold, D.N.1
Brezzi, F.2
-
4
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
ARNOLD, D. N., BREZZI, F., COCKBURN, B. & MARINI, D. (2002) Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39, 1749-1779.
-
(2002)
SIAM J. Numer. Anal.
, vol.39
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Marini, D.4
-
5
-
-
0001537143
-
Nonconforming elements in the finite element method with penalty
-
BABUSKA, I. & ZLÁMAL, M. (1973) Nonconforming elements in the finite element method with penalty. SIAM J. Numer. Anal., 10, 863-875.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 863-875
-
-
Babuska, I.1
Zlámal, M.2
-
6
-
-
0001416032
-
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
-
BASSI, F. & REBAY, S. (1997a) A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. J. Comput. Phys., 131, 267-279.
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 267-279
-
-
Bassi, F.1
Rebay, S.2
-
7
-
-
0031537299
-
High-order accurate discontinuous finite element solution of the 2D Euler equations
-
BASSI, F. & REBAY, S. (1997b) High-order accurate discontinuous finite element solution of the 2D Euler equations. J. Comput. Phys., 138, 251-285.
-
(1997)
J. Comput. Phys.
, vol.138
, pp. 251-285
-
-
Bassi, F.1
Rebay, S.2
-
8
-
-
0345062335
-
A discontinuous hp finite element method for convection-diffusion problems
-
BAUMANN, C. E. & ODEN, J. T. (1999) A discontinuous hp finite element method for convection-diffusion problems. Comput. Methods Appl. Mech. Eng., 175, 311-341.
-
(1999)
Comput. Methods Appl. Mech. Eng.
, vol.175
, pp. 311-341
-
-
Baumann, C.E.1
Oden, J.T.2
-
11
-
-
55349128940
-
A multilevel preconditioner for the interior penalty discontinuous Galerkin method.
-
BRIX, K., PINTO, M. C. & DAHMEN, W. (2008) A multilevel preconditioner for the interior penalty discontinuous Galerkin method. SIAM J. Numer. Anal., 46, 2742-2768.
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2742-2768
-
-
Brix, K.1
Pinto, M.C.2
Dahmen, W.3
-
12
-
-
34547960551
-
Analysis of a multiscale discontinuous Galerkin method for convection-diffusion problems
-
DOI 10.1137/050640382
-
BUFFA, A., HUGHES, T. J. R. & SANGALLI, G. (2006) Analysis of a multiscale discontinuous Galerkin method for convection-diffusion problems. SIAM J. Numer. Anal., 44, 1420-1440. (Pubitemid 47264154)
-
(2006)
SIAM Journal on Numerical Analysis
, vol.44
, Issue.4
, pp. 1420-1440
-
-
Buffa, A.1
Hughes, T.J.R.2
Sangalli, G.3
-
13
-
-
0036013520
-
An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems
-
CASTILLO, P., COCKBURN, B., SCHÖTZAU, D. & SCHWAB, C. (2002) An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems. Math. Comput., 71, 455-478.
-
(2002)
Math. Comput.
, vol.71
, pp. 455-478
-
-
Castillo, P.1
Cockburn, B.2
Schötzau, D.3
Schwab, C.4
-
14
-
-
0029482835
-
Mixed-RKDG finite element methods for the 2-D hydrodynamic model for semiconductor device simulation
-
CHEN, Z., COCKBURN, B., JEROME, J. W. & SHU, C.-W. (1995) Mixed-RKDG finite element methods for the 2-D hydrodynamic model for semiconductor device simulation. VLSI Des., 3, 145-158.
-
(1995)
VLSI des
, vol.3
, pp. 145-158
-
-
Chen, Z.1
Cockburn, B.2
Jerome, J.W.3
Shu, C.-W.4
-
15
-
-
0001279910
-
An introduction to the discontinuous Galerkin method for convection-dominated problems
-
(Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28(1997) (B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor eds). Berlin: Springer
-
COCKBURN, B. (1988) An introduction to the discontinuous Galerkin method for convection-dominated problems. Advanced Numerical Approximation of Nonlinear Hyperbolic Equations (Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997) (B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor eds). Berlin: Springer, pp. 151-268.
-
(1988)
Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
, pp. 151-268
-
-
Cockburn, B.1
-
16
-
-
70349733642
-
Unified hybridization of discontinuous Galerkin, mixed and conforming Galerkin methods for second order elliptic problems
-
COCKBURN, B., GOPALAKRISHNAN, J. & LAZAROV, R. (2009) Unified hybridization of discontinuous Galerkin, mixed and conforming Galerkin methods for second order elliptic problems. SIAM J. Numer. Anal., 47, 1319-1365.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 1319-1365
-
-
Cockburn, B.1
Gopalakrishnan, J.2
Lazarov, R.3
-
18
-
-
0032721597
-
Upwind-mixed methods for transport equations
-
DAWSON, C. N. & AIZINGER, V. (1999) Upwind-mixed methods for transport equations. Comput. Geosci., 3, 93-110.
-
(1999)
Comput. Geosci.
, vol.3
, pp. 93-110
-
-
Dawson, C.N.1
Aizinger, V.2
-
19
-
-
31144469095
-
A mixed-hybrid finite element method for convection-diffusion problems
-
FARHOUL, M. & MOUNIM, A. S. (2005) A mixed-hybrid finite element method for convection-diffusion problems. Appl. Math. Comput., 171, 1037-1047.
-
(2005)
Appl. Math. Comput.
, vol.171
, pp. 1037-1047
-
-
Farhoul, M.1
Mounim, A.S.2
-
20
-
-
0010477076
-
On weakly imposed boundary conditions for second order problems
-
M. Morandi Cecchi, K. Morgan, J. Periaux, B. A. Screfler & O. C. Zienkiewicz eds). Venice, Italy. Available at
-
FREUND, J. & STENBERG, R. (1995) On weakly imposed boundary conditions for second order problems. Proceedings of the Ninth International Conference on Finite Elements in Fluids (M. Morandi Cecchi, K. Morgan, J. Periaux, B. A. Screfler & O. C. Zienkiewicz eds). Venice, Italy, pp. 327-336. Available at http://math.tkk.fi/-rstenber/Publications/Venice95.pdf
-
(1995)
Proceedings of the Ninth International Conference on Finite Elements in Fluids
, pp. 327-336
-
-
Freund, J.1
Stenberg, R.2
-
21
-
-
33846255479
-
Energy norm a posteriori error estimation of hp-adaptive discontinuous Galerkin methods for elliptic problems
-
HOUSTON, P., SCHÖ TZAU, D. & WIHLER, T. P. (2007) Energy norm a posteriori error estimation of hp-adaptive discontinuous Galerkin methods for elliptic problems. Math. Model. Methods Appl. Sci., 17, 33-62.
-
(2007)
Math. Model. Methods Appl. Sci.
, vol.17
, pp. 33-62
-
-
Houston, P.1
Schö Tzau, D.2
Wihler, T.P.3
-
22
-
-
0000182351
-
Stabilized hp-finite element methods for first-order hyperbolic problems
-
HOUSTON, P., SCHWAB, C. & SÜLI, E. (2000) Stabilized hp-finite element methods for first-order hyperbolic problems. SIAM J. Numer. Anal., 37, 1618-1643.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1618-1643
-
-
Houston, P.1
Schwab, C.2
Süli, E.3
-
23
-
-
0034963138
-
Stabilized hp-finite element approximation of partial differential equations with nonnegative characteristic form
-
HOUSTON, P. & SÜLI, E. (2001) Stabilized hp-finite element approximation of partial differential equations with nonnegative characteristic form. Computing, 66, 99-119.
-
(2001)
Computing
, vol.66
, pp. 99-119
-
-
Houston, P.1
Süli, E.2
-
24
-
-
0013724411
-
A multi-dimensional upwind scheme with no crosswind diffusion
-
(T. Hughes ed.). Applied Mechanics Division. New York: American Society of Mechanical Engineers
-
HUGHES, T. J. R. & BROOKS, A. N. (1979) A multi-dimensional upwind scheme with no crosswind diffusion. Finite Element Methods for Convection Dominated Flows (T. Hughes ed.). Applied Mechanics Division, vol.34. New York: American Society of Mechanical Engineers, pp. 19-35.
-
(1979)
Finite Element Methods for Convection Dominated Flows
, vol.34
, pp. 19-35
-
-
Hughes, T.J.R.1
Brooks, A.N.2
-
26
-
-
84966238599
-
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
-
JOHNSON, C. & PITKÁRANTA, J. (1986) An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Math. Comput., 46, 1-26.
-
(1986)
Math. Comput.
, vol.46
, pp. 1-26
-
-
Johnson, C.1
Pitkáranta, J.2
-
27
-
-
84966256937
-
Streamline diffusion methods for the incompressible Euler and Navier- Stokes equations
-
JOHNSON, C. & SARANEN, J. (1986) Streamline diffusion methods for the incompressible Euler and Navier- Stokes equations. Math. Comput., 47, 1-18.
-
(1986)
Math. Comput.
, vol.47
, pp. 1-18
-
-
Johnson, C.1
Saranen, J.2
-
29
-
-
34250256485
-
Mixed finite elements in R3
-
NEDELEC, J. C. (1980) Mixed finite elements in R3. Numer. Math., 35, 315-341.
-
(1980)
Numer. Math.
, vol.35
, pp. 315-341
-
-
Nedelec, J.C.1
-
30
-
-
84951671794
-
Über ein Variationsprinzip zur Löung von Dirichlet-Problemen bei Verwendung von TelRÜmen, die keinen Randbedingungen unterworfen sind
-
NITSCHE, J. A. (1971) Über ein Variationsprinzip zur Löung von Dirichlet-Problemen bei Verwendung von TelRÜmen, die keinen Randbedingungen unterworfen sind. Abh. Math. Semin. Univ. Hamb., 36, 9-15.
-
(1971)
Abh. Math. Semin. Univ. Hamb.
, vol.36
, pp. 9-15
-
-
Nitsche, J.A.1
-
31
-
-
0032209437
-
A discontinuous hp-FEM for diffusion problems
-
ODEN, J. T., BABUSKA, I. & BAUMANN, C. (1998) A discontinuous hp-FEM for diffusion problems. J. Comput. Phys., 146, 491-519.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 491-519
-
-
Oden, J.T.1
Babuska, I.2
Baumann, C.3
-
32
-
-
0348152044
-
An hp-analysis of the local discontinuous Galerkin method for diffusion problems
-
PERUGIA, I. & SCHÖTZAU, D. (2002) An hp-analysis of the local discontinuous Galerkin method for diffusion problems. J. Sci. Comput., 17, 561-571.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 561-571
-
-
Perugia, I.1
Schötzau, D.2
-
33
-
-
0001175293
-
A mixed finite element method for second order elliptic problems
-
(I. Galligani & E. Magenes eds). Lecture Notes in Mathematics. Berlin: Springer
-
RAVIART, P. A. & THOMAS, J. M. (1977) A mixed finite element method for second order elliptic problems. Mathematical Aspects of the Finite Element Method (I. Galligani & E. Magenes eds). Lecture Notes in Mathematics, vol.606. Berlin: Springer, pp. 202-315.
-
(1977)
Mathematical Aspects of the Finite Element Method
, vol.606
, pp. 202-315
-
-
Raviart, P.A.1
Thomas, J.M.2
-
35
-
-
84968517725
-
The discontinuous Galerkin method with diffusion
-
RICHTER, G. R. (1992) The discontinuous Galerkin method with diffusion. Math. Comput., 58, 631-643.
-
(1992)
Math. Comput.
, vol.58
, pp. 631-643
-
-
Richter, G.R.1
-
36
-
-
0039251736
-
Postprocessing schemes for some mixed finite elements
-
STENBERG, R. (1991) Postprocessing schemes for some mixed finite elements. Math. Model. Numer. Anal., 25, 151-168.
-
(1991)
Math. Model. Numer. Anal.
, vol.25
, pp. 151-168
-
-
Stenberg, R.1
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