-
1
-
-
0001163226
-
An interior penalty finite element method with discontinuous elements
-
D. N. ARNOLD, An interior penalty finite element method with discontinuous elements, SIAM J. Numer. Anal., 19 (1982), pp. 742-760.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, pp. 742-760
-
-
ARNOLD, D.N.1
-
2
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
D. N. ARNOLD, F. BREZZI, B. COCKBURN, AND L. DONATELLA MARINI, Unified analysis of discontinuous Galerkin methods for elliptic problems, SIAM J. Numer. Anal., 39 (2002), pp. 1749-1779.
-
(2002)
SIAM J. Numer. Anal
, vol.39
, pp. 1749-1779
-
-
ARNOLD, D.N.1
BREZZI, F.2
COCKBURN, B.3
DONATELLA MARINI, L.4
-
3
-
-
0000026672
-
The h-p version of the finite element method with quasi-uniform meshes
-
I. BABUŠKA AND M. SURI, The h-p version of the finite element method with quasi-uniform meshes, RAIRO Model. Math. Anal. Numér., 21 (1987), pp. 199-238.
-
(1987)
RAIRO Model. Math. Anal. Numér
, vol.21
, pp. 199-238
-
-
BABUŠKA, I.1
SURI, M.2
-
4
-
-
49449084607
-
-
D. BRAESS, Finite Elements. Theory, Fast Solvers, and Applications in Solid Mechanics 2nd ed. (translated from the 1992 German edition by Larry L. Schumaker), Cambridge University Press, Cambridge, UK, 2001.
-
D. BRAESS, Finite Elements. Theory, Fast Solvers, and Applications in Solid Mechanics 2nd ed. (translated from the 1992 German edition by Larry L. Schumaker), Cambridge University Press, Cambridge, UK, 2001.
-
-
-
-
6
-
-
0003957050
-
-
2nd ed, Texts Appl. Math. 15, Springer-Verlag, New York
-
S. C. BRENNER AND L. RIDGWAY SCOTT, The Mathematical Theory of Finite Element Methods, 2nd ed., Texts Appl. Math. 15, Springer-Verlag, New York, 2002.
-
(2002)
The Mathematical Theory of Finite Element Methods
-
-
BRENNER, S.C.1
RIDGWAY SCOTT, L.2
-
7
-
-
0035280960
-
Devising discontinuous Galerkin methods for non-linear hyperbolic conservation laws
-
B. COCKBURN, Devising discontinuous Galerkin methods for non-linear hyperbolic conservation laws, J. Comput. Appl. Math., 128 (2001), pp. 187-204.
-
(2001)
J. Comput. Appl. Math
, vol.128
, pp. 187-204
-
-
COCKBURN, B.1
-
8
-
-
49449095241
-
-
B. COCKBURN, P.-A. GREMAUD, AND J. X. YANG, A priori error estimates for nonlinear scalar conservation laws, in Hyperbolic Problems: Theory, Numerics, Applications, I (Zürich, 1998), Internat. Ser. Numer. Math. 129, Birkhäuser, Basel, 1999, pp. 167-176.
-
B. COCKBURN, P.-A. GREMAUD, AND J. X. YANG, A priori error estimates for nonlinear scalar conservation laws, in Hyperbolic Problems: Theory, Numerics, Applications, Vol. I (Zürich, 1998), Internat. Ser. Numer. Math. 129, Birkhäuser, Basel, 1999, pp. 167-176.
-
-
-
-
9
-
-
0002084927
-
The development of discontinuous Galerkin methods
-
Discontinuous Galerkin Methods Newport, RI, Springer, Berlin
-
B. COCKBURN, G. E. KARNIADAKIS, AND C-W. SHU, The development of discontinuous Galerkin methods, in Discontinuous Galerkin Methods (Newport, RI, 1999), Lecture Notes Comput. Sci. Eng. 11, Springer, Berlin, 2000, pp. 3-50.
-
(1999)
Lecture Notes Comput. Sci. Eng
, vol.11
, pp. 3-50
-
-
COCKBURN, B.1
KARNIADAKIS, G.E.2
SHU, C.-W.3
-
10
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws
-
B. COCKBURN AND C.-W. SHU, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework, Math. Comp., 52 (1989), pp. 411-435.
-
(1989)
II. General framework, Math. Comp
, vol.52
, pp. 411-435
-
-
COCKBURN, B.1
SHU, C.-W.2
-
11
-
-
0000869912
-
1 -discontinuous-Galerkin finite element method for scalar conservation laws
-
1 -discontinuous-Galerkin finite element method for scalar conservation laws, RAIRO Model. Math. Anal. Numér., 25 (1991), pp. 337-361.
-
(1991)
RAIRO Model. Math. Anal. Numér
, vol.25
, pp. 337-361
-
-
COCKBURN, B.1
SHU, C.-W.2
-
12
-
-
0001690553
-
The Runge-Kutta discontinuous Galerkin method for conservation laws
-
B. COCKBURN AND C.-W. SHU, The Runge-Kutta discontinuous Galerkin method for conservation laws. V. Multidimensional systems, J. Comput. Phys., 141 (1998), pp. 199-224.
-
(1998)
V. Multidimensional systems, J. Comput. Phys
, vol.141
, pp. 199-224
-
-
COCKBURN, B.1
SHU, C.-W.2
-
13
-
-
0003074690
-
Elliptic Boundary Value Problems on Corner Domains. Smoothness and Asymptotics of Solutions
-
Springer-Verlag, Berlin
-
M. DAUGE, Elliptic Boundary Value Problems on Corner Domains. Smoothness and Asymptotics of Solutions, Lecture Notes in Math. 1341, Springer-Verlag, Berlin, 1988.
-
(1988)
Lecture Notes in Math
, vol.1341
-
-
DAUGE, M.1
-
14
-
-
0004063876
-
-
Grundlehren Math. Wiss, Fundamental Principles of Mathematical Sciences, 303 Springer-Verlag, Berlin
-
R. A. DEVORE AND G. G. LORENTZ, Constructive Approximation, Grundlehren Math. Wiss. (Fundamental Principles of Mathematical Sciences), 303 Springer-Verlag, Berlin, 1993.
-
(1993)
Constructive Approximation
-
-
DEVORE, R.A.1
LORENTZ, G.G.2
-
15
-
-
0026883589
-
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations
-
R. S. FALK AND G. R. RICHTER, Local error estimates for a finite element method for hyperbolic and convection-diffusion equations, SIAM J. Numer. Anal., 29 (1992), pp. 730-754.
-
(1992)
SIAM J. Numer. Anal
, vol.29
, pp. 730-754
-
-
FALK, R.S.1
RICHTER, G.R.2
-
16
-
-
0000802762
-
An elliptic collocation-finite element method with interior penalties
-
M. F. WHEELER, An elliptic collocation-finite element method with interior penalties, SIAM J. Numer. Anal., 15 (1978), pp. 152-161.
-
(1978)
SIAM J. Numer. Anal
, vol.15
, pp. 152-161
-
-
WHEELER, M.F.1
-
17
-
-
11444267770
-
Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method
-
E. H. GEORGOULIS AND E. SÜLI, Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method, IMA J. Numer. Anal., 25 (2005), pp. 214-240.
-
(2005)
IMA J. Numer. Anal
, vol.25
, pp. 214-240
-
-
GEORGOULIS, E.H.1
SÜLI, E.2
-
18
-
-
0003549965
-
-
Classics Math, Springer-Verlag, Berlin, reprint of the 1998 edition
-
D. GILBARG AND N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Classics Math., Springer-Verlag, Berlin, 2001; reprint of the 1998 edition.
-
(2001)
Elliptic Partial Differential Equations of Second Order
-
-
GILBARG, D.1
TRUDINGER, N.S.2
-
19
-
-
0004088932
-
-
Monogr. Stud. Math. 24, Pitman Advanced Publishing Program, Boston, MA
-
P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Monogr. Stud. Math. 24, Pitman (Advanced Publishing Program), Boston, MA, 1985.
-
(1985)
Elliptic Problems in Nonsmooth Domains
-
-
GRISVARD, P.1
-
20
-
-
49449095625
-
-
K. HARRIMAN, P. HOUSTON, B. SENIOR, AND E. SÜLI, hp-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form, in Recent Advances in Scientific Computing and Partial Differential Equations (Hong Kong, 2002), Contemp. Math. 330, Amer. Math. Soc., Providence, RI, 2003, pp. 89-119.
-
K. HARRIMAN, P. HOUSTON, B. SENIOR, AND E. SÜLI, hp-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form, in Recent Advances in Scientific Computing and Partial Differential Equations (Hong Kong, 2002), Contemp. Math. 330, Amer. Math. Soc., Providence, RI, 2003, pp. 89-119.
-
-
-
-
21
-
-
0012733086
-
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws
-
R. HARTMANN AND P. HOUSTON, Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws, SIAM J. Sci. Comput., 24 (2002), pp. 979-1004.
-
(2002)
SIAM J. Sci. Comput
, vol.24
, pp. 979-1004
-
-
HARTMANN, R.1
HOUSTON, P.2
-
22
-
-
0036556363
-
Discontinuous hp-finite element methods for advectiondiffusion-reaction problems
-
P. HOUSTON, C. SCHWAB, AND E. SÜLI, Discontinuous hp-finite element methods for advectiondiffusion-reaction problems, SIAM J. Numer. Anal., 39 (2002), pp. 2133-2163.
-
(2002)
SIAM J. Numer. Anal
, vol.39
, pp. 2133-2163
-
-
HOUSTON, P.1
SCHWAB, C.2
SÜLI, E.3
-
23
-
-
0036347672
-
hp-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
-
P. HOUSTON AND E. SÜLI, hp-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems, SIAM J. Sci. Comput., 23 (2001), pp. 1226-1252.
-
(2001)
SIAM J. Sci. Comput
, vol.23
, pp. 1226-1252
-
-
HOUSTON, P.1
SÜLI, E.2
-
24
-
-
0033296133
-
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations
-
C. HU AND C-W. SHU, A discontinuous Galerkin finite element method for Hamilton-Jacobi equations, SIAM J. Sci. Comput., 21 (1999), pp. 666-690.
-
(1999)
SIAM J. Sci. Comput
, vol.21
, pp. 666-690
-
-
HU, C.1
SHU, C.-W.2
-
25
-
-
0021497513
-
-
C. JOHNSON, U. NÄVERT, AND J. PITKÄ RANTA, Finite element methods for linear hyperbolic problems, Comput. Methods Appl. Mech. Engrg., 45 (1984), pp. 285-312.
-
C. JOHNSON, U. NÄVERT, AND J. PITKÄ RANTA, Finite element methods for linear hyperbolic problems, Comput. Methods Appl. Mech. Engrg., 45 (1984), pp. 285-312.
-
-
-
-
26
-
-
84966238599
-
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
-
C. JOHNSON AND J. PITKÄRANTA, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math. Comp., 46 (1986), pp. 1-26.
-
(1986)
Math. Comp
, vol.46
, pp. 1-26
-
-
JOHNSON, C.1
PITKÄRANTA, J.2
-
27
-
-
0039756618
-
A space-time finite element method for the nonlinear Schrödinger equation: The discontinuous Galerkin method
-
O. KARAKASHIAN AND C. MAKRIDAKIS, A space-time finite element method for the nonlinear Schrödinger equation: The discontinuous Galerkin method, Math. Comp., 67 (1998), pp. 479-499.
-
(1998)
Math. Comp
, vol.67
, pp. 479-499
-
-
KARAKASHIAN, O.1
MAKRIDAKIS, C.2
-
28
-
-
49449109393
-
-
P. LASAINT 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 (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, WI, 1974), Publication no. 33, Math. Res. Center, Univ. of Wisconsin-Madison, Academic Press, New York, 1974, pp. 89-123.
-
P. LASAINT 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 (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, WI, 1974), Publication no. 33, Math. Res. Center, Univ. of Wisconsin-Madison, Academic Press, New York, 1974, pp. 89-123.
-
-
-
-
29
-
-
49449094776
-
-
D.Phil. Thesis, University of Oxford, Oxford, UK
-
A. LASIS, Discontinuous Galerkin Finite Element Approximation of Nonlinear Parabolic Problems, D.Phil. Thesis, University of Oxford, Oxford, UK, 2005.
-
(2005)
Discontinuous Galerkin Finite Element Approximation of Nonlinear Parabolic Problems
-
-
LASIS, A.1
-
30
-
-
41049115641
-
Poincaré-Type Inequalities for Broken Sobolev Spaces
-
Tech. report NA-03/10, Oxford University Computing Laboratory, Oxford, available online at
-
A. LASIS AND E. SÜLI, Poincaré-Type Inequalities for Broken Sobolev Spaces, Tech. report NA-03/10, Oxford University Computing Laboratory, Oxford, 2003; available online at http://web.comlab.ox.ac.uk/oucl/publications/natr/na-03-10.html.
-
(2003)
-
-
LASIS, A.1
SÜLI, E.2
-
31
-
-
78651225300
-
-
Isaac Newton Institute, Cambridge, UK, available online at
-
J. M. MELENK, HP-Interpolation of Non-Smooth Functions, Preprint NI03050-CPD, Isaac Newton Institute, Cambridge, UK, 2003; available online at http://www.newton.cam.ac.uk/preprints/NI03050.pdf.
-
(2003)
HP-Interpolation of Non-Smooth Functions, Preprint NI03050-CPD
-
-
MELENK, J.M.1
-
32
-
-
84951671794
-
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, in collection of articles dedicated to Lothar Collatz on his sixtieth birthday
-
J. NITSCHE, Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, in collection of articles dedicated to Lothar Collatz on his sixtieth birthday, Abh. Math. Sem. Univ. Hamburg, 36 (1971), pp. 9-15.
-
(1971)
Abh. Math. Sem. Univ. Hamburg
, vol.36
, pp. 9-15
-
-
NITSCHE, J.1
-
33
-
-
0003630916
-
-
Tech. report LA-UR-73-479, Los Alamos Scientific Laboratory, Los Alamos, NM
-
W. H. REED AND T., R. HILL, Triangular Mesh Methods for the Neutron Transport Equation, Tech. report LA-UR-73-479, Los Alamos Scientific Laboratory, Los Alamos, NM, 1973.
-
(1973)
Triangular Mesh Methods for the Neutron Transport Equation
-
-
REED, W.H.1
HILL, T.R.2
-
34
-
-
84966227504
-
An optimal-order error estimate for the discontinuous Galerkin method
-
G. R. RICHTER, An optimal-order error estimate for the discontinuous Galerkin method, Math. Comp., 50 (1988), pp. 75-88.
-
(1988)
Math. Comp
, vol.50
, pp. 75-88
-
-
RICHTER, G.R.1
-
35
-
-
84968517725
-
The discontinuous Galerkin method with diffusion
-
G. R. RICHTER, The discontinuous Galerkin method with diffusion, Math. Comp., 58 (1992), pp. 631-643.
-
(1992)
Math. Comp
, vol.58
, pp. 631-643
-
-
RICHTER, G.R.1
-
36
-
-
49449110348
-
-
B. RIVIÈRE AND M. F. WHEELER, A discontinuous Galerkin method applied to nonlinear parabolic equations, in Discontinuous Galerkin Methods (Newport, RI, 1999), Lect. Notes Comput. Sci. Eng. 11, Springer, Berlin, 2000, pp. 231-244.
-
B. RIVIÈRE AND M. F. WHEELER, A discontinuous Galerkin method applied to nonlinear parabolic equations, in Discontinuous Galerkin Methods (Newport, RI, 1999), Lect. Notes Comput. Sci. Eng. 11, Springer, Berlin, 2000, pp. 231-244.
-
-
-
-
38
-
-
0016519316
-
On Galerkin methods in semilinear parabolic problems
-
V. THOMÉE AND L. WAHLBIN, On Galerkin methods in semilinear parabolic problems, SIAM J. Numer. Anal., 12 (1975), pp. 378-389.
-
(1975)
SIAM J. Numer. Anal
, vol.12
, pp. 378-389
-
-
THOMÉE, V.1
WAHLBIN, L.2
|