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Author ID: schotzau.dominik Recent zbMATH articles by "Schötzau, Dominik"
Published as: Schötzau, Dominik; Schötzau, D.
Further Spellings: Schötzau, Dominik Matthias
Homepage: https://www.math.ubc.ca/~schoetzau/
External Links: MGP · ResearchGate · dblp
Documents Indexed: 81 Publications since 1998
Co-Authors: 33 Co-Authors with 79 Joint Publications
1,164 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 2,828 times in 1,578 Documents Cited by Year
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
230
2000
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080
Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik
156
2001
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
147
2005
Discontinuous Galerkin finite element method for the wave equation. Zbl 1129.65065
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
123
2006
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
118
2002
Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems. Zbl 0997.65111
Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph
117
2002
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
108
2007
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
101
2000
Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043
Schötzau, Dominik
96
2004
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
74
2003
Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
72
2007
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
69
2002
A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146
Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi
65
2010
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
62
2000
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
58
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
55
2004
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
53
2014
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
53
2002
Hybridized globally divergence-free LDG methods. I: The Stokes problem. Zbl 1087.76061
Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik
51
2006
The local discontinuous Galerkin method for the Oseen equations. Zbl 1066.76036
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
46
2004
The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007
Perugia, Ilaria; Schötzau, Dominik
44
2003
Optimal error estimates for the fully discrete interior penalty DG method for the wave equation. Zbl 1203.65182
Grote, Marcus J.; Schötzau, Dominik
43
2009
\(hp\)-discontinuous Galerkin time-stepping for Volterra integrodifferential equations. Zbl 1116.65127
Brunner, Hermann; Schötzau, Dominik
42
2006
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
39
2007
\(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
36
2001
Mixed finite element approximation of incompressible MHD problems based on weighted regularization. Zbl 1126.76341
Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik
35
2004
Discontinuous Galerkin methods for incompressible elastic materials. Zbl 1128.74041
Cockburn, Bernardo; Schötzau, Dominik; Wang, Jing
32
2006
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations. Zbl 1169.65108
Schötzau, Dominik; Zhu, Liang
32
2009
An \(hp\)-version discontinuous Galerkin method for integro-differential equations of parabolic type. Zbl 1230.65143
Mustapha, K.; Brunner, H.; Mustapha, H.; Schötzau, D.
30
2011
Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
30
2006
The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. Zbl 1138.76382
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
30
2005
An exactly divergence-free finite element method for a generalized Boussinesq problem. Zbl 1301.76052
Oyarzúa, Ricardo; Qin, Tong; Schötzau, Dominik
29
2014
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
29
2006
Interior penalty discontinuous Galerkin method for Maxwell’s equations: energy norm error estimates. Zbl 1136.78014
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
28
2007
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
27
2005
An equal-order DG method for the incompressible Navier-Stokes equations. Zbl 1203.76080
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
25
2009
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
25
2013
Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156
Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik
23
2011
A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations. Zbl 1225.65104
Zhu, Liang; Schötzau, Dominik
23
2011
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
21
2009
Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes. Zbl 0958.76049
Schötzau, Dominik; Schwab, Christoph; Stenberg, Rolf
20
1999
\(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal
20
2013
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
19
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
19
2005
A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations. Zbl 1191.65124
Schötzau, Dominik; Wihler, Thomas P.
19
2010
\(hp\)-discontinuous Galerkin time-stepping for parabolic problems. Zbl 0993.65108
Schötzau, Dominik; Schwab, Christoph
16
2001
Mixed \(hp\)-FEM on anisotropic meshes. Zbl 0958.76048
Schötzau, Dominik; Schwab, Christoph
16
1998
Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons. Zbl 1130.76331
Schötzau, Dominik; Wihler, Thomas P.
16
2003
On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117
Perugia, Ilaria; Schötzau, Dominik
15
2001
An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
13
2007
Interior penalty discontinuous Galerkin method for Maxwell’s equations: Optimal \(L^{2}\)-norm error estimates. Zbl 1145.78006
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
13
2008
Energy norm a posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations. Zbl 1140.76020
Kanschat, Guido; Schötzau, Dominik
12
2008
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
11
2005
\(hp\)-finite element simulations for Stokes flow – stable and stabilized. Zbl 0965.76043
Gerdes, K.; Schötzau, D.
11
1999
An a-posteriori error estimate for \(hp\)-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes. Zbl 1350.65114
Giani, Stefano; Schötzau, Dominik; Zhu, Liang
11
2014
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
10
2003
\(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P.
10
2016
Mixed \(hp\)-DGFEM for incompressible flows. II: Geometric edge meshes. Zbl 1114.76046
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
9
2004
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
9
2004
Stabilized \(hp\)-DGFEM for incompressible flow. Zbl 1050.76034
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
9
2003
Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091
Li, Dan; Greif, Chen; Schötzau, Dominik
8
2012
Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
8
2015
Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612
Wathen, Michael; Greif, Chen; Schötzau, Dominik
8
2017
Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121
Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D.
7
2002
Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016
Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D.
7
2001
Abstract of the PhD thesis: “\(hp\)-DGFEM for parabolic evolution problems – applications to diffusion and viscous incompressible fluid flow. Zbl 0978.76053
Schötzau, D.
6
2000
Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. Zbl 0990.76046
Schötzau, Dominik; Schwab, Christoph
6
2001
The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. Zbl 1012.65122
Gerdes, K.; Melenk, J. M.; Schwab, Christoph; Schötzau, Dominik
5
2001
Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166
Schötzau, Dominik; Schwab, Christoph
4
2018
Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
4
2017
Mixed finite elements for incompressible magneto-hydrodynamics. Zbl 1084.76049
Schneebeli, Anna; Schötzau, Dominik
3
2003
Mixed finite element methods for problems with Robin boundary conditions. Zbl 1226.65094
Könnö, Juho; Schötzau, Dominik; Stenberg, Rolf
3
2011
Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
2
2018
On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086
Perugia, Ilaria; Schötzau, Dominik; Warsa, James
1
2004
LDG methods for Stokes flow problems. Zbl 1283.76031
Cockburn, B.; Kanschat, G.; Schötzau, D.
1
2003
Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166
Schötzau, Dominik; Schwab, Christoph
4
2018
Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
2
2018
Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612
Wathen, Michael; Greif, Chen; Schötzau, Dominik
8
2017
Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
4
2017
\(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P.
10
2016
Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
8
2015
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
53
2014
An exactly divergence-free finite element method for a generalized Boussinesq problem. Zbl 1301.76052
Oyarzúa, Ricardo; Qin, Tong; Schötzau, Dominik
29
2014
An a-posteriori error estimate for \(hp\)-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes. Zbl 1350.65114
Giani, Stefano; Schötzau, Dominik; Zhu, Liang
11
2014
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
25
2013
\(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal
20
2013
Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091
Li, Dan; Greif, Chen; Schötzau, Dominik
8
2012
An \(hp\)-version discontinuous Galerkin method for integro-differential equations of parabolic type. Zbl 1230.65143
Mustapha, K.; Brunner, H.; Mustapha, H.; Schötzau, D.
30
2011
Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156
Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik
23
2011
A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations. Zbl 1225.65104
Zhu, Liang; Schötzau, Dominik
23
2011
Mixed finite element methods for problems with Robin boundary conditions. Zbl 1226.65094
Könnö, Juho; Schötzau, Dominik; Stenberg, Rolf
3
2011
A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146
Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi
65
2010
A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations. Zbl 1191.65124
Schötzau, Dominik; Wihler, Thomas P.
19
2010
Optimal error estimates for the fully discrete interior penalty DG method for the wave equation. Zbl 1203.65182
Grote, Marcus J.; Schötzau, Dominik
43
2009
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations. Zbl 1169.65108
Schötzau, Dominik; Zhu, Liang
32
2009
An equal-order DG method for the incompressible Navier-Stokes equations. Zbl 1203.76080
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
25
2009
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
21
2009
Interior penalty discontinuous Galerkin method for Maxwell’s equations: Optimal \(L^{2}\)-norm error estimates. Zbl 1145.78006
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
13
2008
Energy norm a posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations. Zbl 1140.76020
Kanschat, Guido; Schötzau, Dominik
12
2008
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
108
2007
Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
72
2007
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
39
2007
Interior penalty discontinuous Galerkin method for Maxwell’s equations: energy norm error estimates. Zbl 1136.78014
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
28
2007
An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
13
2007
Discontinuous Galerkin finite element method for the wave equation. Zbl 1129.65065
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
123
2006
Hybridized globally divergence-free LDG methods. I: The Stokes problem. Zbl 1087.76061
Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik
51
2006
\(hp\)-discontinuous Galerkin time-stepping for Volterra integrodifferential equations. Zbl 1116.65127
Brunner, Hermann; Schötzau, Dominik
42
2006
Discontinuous Galerkin methods for incompressible elastic materials. Zbl 1128.74041
Cockburn, Bernardo; Schötzau, Dominik; Wang, Jing
32
2006
Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
30
2006
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
29
2006
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
147
2005
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
58
2005
The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. Zbl 1138.76382
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
30
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
27
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
19
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
19
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
11
2005
Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043
Schötzau, Dominik
96
2004
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
55
2004
The local discontinuous Galerkin method for the Oseen equations. Zbl 1066.76036
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
46
2004
Mixed finite element approximation of incompressible MHD problems based on weighted regularization. Zbl 1126.76341
Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik
35
2004
Mixed \(hp\)-DGFEM for incompressible flows. II: Geometric edge meshes. Zbl 1114.76046
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
9
2004
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
9
2004
On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086
Perugia, Ilaria; Schötzau, Dominik; Warsa, James
1
2004
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
74
2003
The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007
Perugia, Ilaria; Schötzau, Dominik
44
2003
Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons. Zbl 1130.76331
Schötzau, Dominik; Wihler, Thomas P.
16
2003
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
10
2003
Stabilized \(hp\)-DGFEM for incompressible flow. Zbl 1050.76034
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
9
2003
Mixed finite elements for incompressible magneto-hydrodynamics. Zbl 1084.76049
Schneebeli, Anna; Schötzau, Dominik
3
2003
LDG methods for Stokes flow problems. Zbl 1283.76031
Cockburn, B.; Kanschat, G.; Schötzau, D.
1
2003
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
118
2002
Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems. Zbl 0997.65111
Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph
117
2002
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
69
2002
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
53
2002
Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121
Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D.
7
2002
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080
Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik
156
2001
\(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
36
2001
\(hp\)-discontinuous Galerkin time-stepping for parabolic problems. Zbl 0993.65108
Schötzau, Dominik; Schwab, Christoph
16
2001
On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117
Perugia, Ilaria; Schötzau, Dominik
15
2001
Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016
Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D.
7
2001
Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. Zbl 0990.76046
Schötzau, Dominik; Schwab, Christoph
6
2001
The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. Zbl 1012.65122
Gerdes, K.; Melenk, J. M.; Schwab, Christoph; Schötzau, Dominik
5
2001
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
230
2000
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
101
2000
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
62
2000
Abstract of the PhD thesis: “\(hp\)-DGFEM for parabolic evolution problems – applications to diffusion and viscous incompressible fluid flow. Zbl 0978.76053
Schötzau, D.
6
2000
Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes. Zbl 0958.76049
Schötzau, Dominik; Schwab, Christoph; Stenberg, Rolf
20
1999
\(hp\)-finite element simulations for Stokes flow – stable and stabilized. Zbl 0965.76043
Gerdes, K.; Schötzau, D.
11
1999
Mixed \(hp\)-FEM on anisotropic meshes. Zbl 0958.76048
Schötzau, Dominik; Schwab, Christoph
16
1998
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Cited by 1,799 Authors

59 Cockburn, Bernardo
36 Schötzau, Dominik
34 He, Yinnian
33 Baccouch, Mahboub
27 Schwab, Christoph
25 Li, Jichun
25 Shu, Chi-Wang
24 Wihler, Thomas Pascal
23 Houston, Paul
21 Antonietti, Paola Francesca
21 Gatica, Gabriel N.
20 Chung, Tsz Shun Eric
20 Huang, Yunqing
20 Yi, Lijun
19 Di Pietro, Daniele Antonio
18 Giani, Stefano
17 Perugia, Ilaria
16 Kanschat, Guido
15 Castillo, Paul E.
15 Ern, Alexandre
15 Nguyen, Ngoc Cuong
15 Zhang, Qiang
14 Xu, Jinchao
13 Gudi, Thirupathi
12 Wei, LeiLei
12 Xu, Yan
12 Ye, Xiu
11 Adjerid, Slimane
11 Mazzieri, Ilario
11 Mu, Lin
11 Oyarzúa, Ricardo
11 Ruiz-Baier, Ricardo
11 Sayas, Francisco-Javier
10 Chen, Yanping
10 Cheng, Yao
10 Cheng, Yingda
10 Dolejší, Vít
10 Georgoulis, Emmanuil H.
10 Mustapha, Kassem
10 Nicaise, Serge
10 Pani, Amiya Kumar
10 van der Vegt, Jaap J. W.
10 Verani, Marco
9 Bustinza, Rommel A.
9 Cangiani, Andrea
9 Dawson, Clint N.
9 Feng, Xinlong
9 Fu, Guosheng
9 Grote, Marcus J.
9 Guo, Hui
9 Li, Fengyan
9 Linke, Alexander
9 Rhebergen, Sander
9 Si, Zhiyong
9 Su, Haiyan
9 Wu, Boying
9 Yang, Yang
9 Zhang, Guodong
9 Zhang, Shangyou
8 Badia, Santiago
8 Burman, Erik
8 Colmenares, Eligio
8 Ding, Qianqian
8 Gómez, Sergio Alejandro
8 Han, Weimin
8 Hesthaven, Jan S.
8 Hong, Qingguo
8 Huang, Jianguo
8 Khan, Arbaz
8 Liu, Hailiang
8 Mao, Shipeng
8 Neilan, Michael
8 Qiu, Weifeng
8 Rivière, Beatrice M.
8 Wang, Lina
8 Yu, Xijun
8 Zhang, Zhimin
7 Bassi, Francesco
7 Botti, Lorenzo
7 Celiker, Fatih
7 Codina, Ramon
7 Crivellini, Andrea
7 Dong, Xiaojing
7 Ferrer, Esteban
7 Greif, Chen
7 Hiptmair, Ralf
7 Huang, Xuehai
7 Hughes, Thomas J. R.
7 Karasözen, Bülent
7 Lin, Yanping
7 Lube, Gert
7 Meng, Xiong
7 Wang, Haijin
7 Wang, Zhongqing
7 Zhang, Xindong
6 Appelö, Daniel
6 Brenner, Susanne Cecelia
6 Chen, Long
6 Deng, Weihua
6 Duan, Huoyuan
...and 1,699 more Authors
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Cited in 158 Serials

209 Journal of Scientific Computing
121 Computer Methods in Applied Mechanics and Engineering
115 Journal of Computational Physics
90 Computers & Mathematics with Applications
83 Journal of Computational and Applied Mathematics
75 Mathematics of Computation
71 Applied Numerical Mathematics
53 SIAM Journal on Scientific Computing
52 Applied Mathematics and Computation
49 SIAM Journal on Numerical Analysis
40 Numerische Mathematik
34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
28 Numerical Methods for Partial Differential Equations
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Advances in Computational Mathematics
21 Computers and Fluids
21 Calcolo
21 Computational Methods in Applied Mathematics
18 International Journal of Computer Mathematics
15 Numerical Algorithms
15 Journal of Numerical Mathematics
13 International Journal for Numerical Methods in Engineering
12 Science China. Mathematics
11 Communications on Applied Mathematics and Computation
10 Applied Mathematics Letters
10 Computational and Applied Mathematics
9 Mathematics and Computers in Simulation
9 Numerical Linear Algebra with Applications
9 International Journal of Numerical Analysis and Modeling
9 Communications in Computational Physics
9 Advances in Applied Mathematics and Mechanics
8 International Journal for Numerical Methods in Fluids
8 Journal of Mathematical Analysis and Applications
8 BIT
8 Numerical Functional Analysis and Optimization
7 Computational Mechanics
7 Applied Mathematical Modelling
7 Computational Geosciences
6 Applicable Analysis
6 Computational Optimization and Applications
6 Mathematical Problems in Engineering
6 Foundations of Computational Mathematics
6 International Journal of Computational Methods
5 Mathematical Methods in the Applied Sciences
5 Discrete and Continuous Dynamical Systems. Series B
5 East Asian Journal on Applied Mathematics
4 Mathematical and Computer Modelling
4 Communications in Numerical Methods in Engineering
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Archives of Computational Methods in Engineering
4 Multiscale Modeling & Simulation
3 Computer Physics Communications
3 COMPEL
3 Applications of Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Abstract and Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Advances in Difference Equations
3 SMAI Journal of Computational Mathematics
3 Results in Applied Mathematics
2 Computing
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 SIAM Journal on Matrix Analysis and Applications
2 Journal of Integral Equations and Applications
2 Japan Journal of Industrial and Applied Mathematics
2 Computational Mathematics and Mathematical Physics
2 Linear Algebra and its Applications
2 International Journal of Computational Fluid Dynamics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Discrete Dynamics in Nature and Society
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 The ANZIAM Journal
2 Journal of Applied Mathematics and Computing
2 The Australian Journal of Mathematical Analysis and Applications
2 Inverse Problems and Imaging
2 SIAM Journal on Financial Mathematics
2 Advances in Mathematical Physics
2 International Journal for Numerical Methods in Biomedical Engineering
2 S\(\vec{\text{e}}\)MA Journal
2 ISRN Applied Mathematics
2 Communications in Mathematics and Statistics
2 Electronic Research Archive
1 Classical and Quantum Gravity
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Automatica
1 Mathematische Zeitschrift
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Journal of Computational Mathematics
1 Optimization
1 Constructive Approximation
1 Science in China. Series A
1 Computational Mathematics and Modeling
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Mathematical Imaging and Vision
...and 58 more Serials
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Cited in 35 Fields

1,405 Numerical analysis (65-XX)
688 Partial differential equations (35-XX)
543 Fluid mechanics (76-XX)
141 Mechanics of deformable solids (74-XX)
134 Optics, electromagnetic theory (78-XX)
51 Integral equations (45-XX)
42 Calculus of variations and optimal control; optimization (49-XX)
27 Ordinary differential equations (34-XX)
27 Classical thermodynamics, heat transfer (80-XX)
23 Probability theory and stochastic processes (60-XX)
20 Real functions (26-XX)
19 Geophysics (86-XX)
16 Approximations and expansions (41-XX)
15 Statistical mechanics, structure of matter (82-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Biology and other natural sciences (92-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Operations research, mathematical programming (90-XX)
7 Computer science (68-XX)
6 Operator theory (47-XX)
6 Quantum theory (81-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Functional analysis (46-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Relativity and gravitational theory (83-XX)
3 Potential theory (31-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Statistics (62-XX)
1 Information and communication theory, circuits (94-XX)

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