×

zbMATH — the first resource for mathematics

Schötzau, Dominik

Compute Distance To:
Author ID: schotzau.dominik Recent zbMATH articles by "Schötzau, Dominik"
Published as: Schötzau, Dominik; Schötzau, D.
Homepage: https://www.math.ubc.ca/~schoetzau/
External Links: MGP · ResearchGate · dblp
Documents Indexed: 80 Publications since 1998

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 2,556 times in 1,415 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
213
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
141
2001
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
134
2005
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
107
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
106
2002
Discontinuous Galerkin finite element method for the wave equation. Zbl 1129.65065
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
100
2006
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
96
2007
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
95
2000
Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043
Schötzau, Dominik
79
2004
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
68
2003
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
63
2002
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.
62
2007
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
59
2000
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
55
2005
A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146
Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi
55
2010
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
51
2004
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
50
2002
Hybridized globally divergence-free LDG methods. I: The Stokes problem. Zbl 1087.76061
Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik
46
2006
The local discontinuous Galerkin method for the Oseen equations. Zbl 1066.76036
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
44
2004
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
42
2014
\(hp\)-discontinuous Galerkin time-stepping for Volterra integrodifferential equations. Zbl 1116.65127
Brunner, Hermann; Schötzau, Dominik
41
2006
The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007
Perugia, Ilaria; Schötzau, Dominik
38
2003
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
37
2007
\(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
36
2001
Optimal error estimates for the fully discrete interior penalty DG method for the wave equation. Zbl 1203.65182
Grote, Marcus J.; Schötzau, Dominik
33
2009
Mixed finite element approximation of incompressible MHD problems based on weighted regularization. Zbl 1126.76341
Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik
33
2004
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations. Zbl 1169.65108
Schötzau, Dominik; Zhu, Liang
31
2009
Discontinuous Galerkin methods for incompressible elastic materials. Zbl 1128.74041
Cockburn, Bernardo; Schötzau, Dominik; Wang, Jing
31
2006
The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. Zbl 1138.76382
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
29
2005
Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
28
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 \(hp\)-version discontinuous Galerkin method for integro-differential equations of parabolic type. Zbl 1230.65143
Mustapha, K.; Brunner, H.; Mustapha, H.; Schötzau, D.
27
2011
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
27
2006
An exactly divergence-free finite element method for a generalized Boussinesq problem. Zbl 1301.76052
Oyarzúa, Ricardo; Qin, Tong; Schötzau, Dominik
25
2014
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
23
2013
An equal-order DG method for the incompressible Navier-Stokes equations. Zbl 1203.76080
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
22
2009
A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations. Zbl 1225.65104
Zhu, Liang; Schötzau, Dominik
20
2011
\(hp\)-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
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
19
2011
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
18
1999
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.
18
2005
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
17
2009
\(hp\)-discontinuous Galerkin time-stepping for parabolic problems. Zbl 0993.65108
Schötzau, Dominik; Schwab, Christoph
16
2001
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
16
2005
A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations. Zbl 1191.65124
Schötzau, Dominik; Wihler, Thomas P.
16
2010
Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons. Zbl 1130.76331
Schötzau, Dominik; Wihler, Thomas P.
15
2003
On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117
Perugia, Ilaria; Schötzau, Dominik
15
2001
Mixed \(hp\)-FEM on anisotropic meshes. Zbl 0958.76048
Schötzau, Dominik; Schwab, Christoph
14
1998
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
\(hp\)-finite element simulations for Stokes flow – stable and stabilized. Zbl 0965.76043
Gerdes, K.; Schötzau, D.
11
1999
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
11
2005
Energy norm a posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations. Zbl 1140.76020
Kanschat, Guido; Schötzau, Dominik
10
2008
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
10
2007
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
10
2014
Mixed \(hp\)-DGFEM for incompressible flows. II: Geometric edge meshes. Zbl 1114.76046
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
9
2004
\(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P.
9
2016
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
8
2003
Stabilized \(hp\)-DGFEM for incompressible flow. Zbl 1050.76034
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
8
2003
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
8
2004
Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091
Li, Dan; Greif, Chen; Schötzau, Dominik
8
2012
Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121
Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D.
7
2002
Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
7
2015
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
Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016
Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D.
6
2001
Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. Zbl 0990.76046
Schötzau, Dominik; Schwab, Christoph
5
2001
Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612
Wathen, Michael; Greif, Chen; Schötzau, Dominik
5
2017
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
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
Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166
Schötzau, Dominik; Schwab, Christoph
3
2018
LDG methods for Stokes flow problems. Zbl 1283.76031
Cockburn, B.; Kanschat, G.; Schötzau, D.
1
2003
On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086
Perugia, Ilaria; Schötzau, Dominik; Warsa, James
1
2004
Mixed finite element methods for problems with Robin boundary conditions. Zbl 1226.65094
Könnö, Juho; Schötzau, Dominik; Stenberg, Rolf
1
2011
Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
1
2018
Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166
Schötzau, Dominik; Schwab, Christoph
3
2018
Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
1
2018
Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612
Wathen, Michael; Greif, Chen; Schötzau, Dominik
5
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.
9
2016
Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
7
2015
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
42
2014
An exactly divergence-free finite element method for a generalized Boussinesq problem. Zbl 1301.76052
Oyarzúa, Ricardo; Qin, Tong; Schötzau, Dominik
25
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
10
2014
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
23
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.
27
2011
A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations. Zbl 1225.65104
Zhu, Liang; Schötzau, Dominik
20
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
19
2011
Mixed finite element methods for problems with Robin boundary conditions. Zbl 1226.65094
Könnö, Juho; Schötzau, Dominik; Stenberg, Rolf
1
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
55
2010
A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations. Zbl 1191.65124
Schötzau, Dominik; Wihler, Thomas P.
16
2010
Optimal error estimates for the fully discrete interior penalty DG method for the wave equation. Zbl 1203.65182
Grote, Marcus J.; Schötzau, Dominik
33
2009
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations. Zbl 1169.65108
Schötzau, Dominik; Zhu, Liang
31
2009
An equal-order DG method for the incompressible Navier-Stokes equations. Zbl 1203.76080
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
22
2009
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
17
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
10
2008
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
96
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.
62
2007
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
37
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
10
2007
Discontinuous Galerkin finite element method for the wave equation. Zbl 1129.65065
Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik
100
2006
Hybridized globally divergence-free LDG methods. I: The Stokes problem. Zbl 1087.76061
Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik
46
2006
\(hp\)-discontinuous Galerkin time-stepping for Volterra integrodifferential equations. Zbl 1116.65127
Brunner, Hermann; Schötzau, Dominik
41
2006
Discontinuous Galerkin methods for incompressible elastic materials. Zbl 1128.74041
Cockburn, Bernardo; Schötzau, Dominik; Wang, Jing
31
2006
Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
28
2006
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
27
2006
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
134
2005
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
55
2005
The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. Zbl 1138.76382
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
29
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
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.
18
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
16
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
79
2004
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
51
2004
The local discontinuous Galerkin method for the Oseen equations. Zbl 1066.76036
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
44
2004
Mixed finite element approximation of incompressible MHD problems based on weighted regularization. Zbl 1126.76341
Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik
33
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.
8
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
68
2003
The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007
Perugia, Ilaria; Schötzau, Dominik
38
2003
Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons. Zbl 1130.76331
Schötzau, Dominik; Wihler, Thomas P.
15
2003
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
8
2003
Stabilized \(hp\)-DGFEM for incompressible flow. Zbl 1050.76034
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
8
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
107
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
106
2002
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
63
2002
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
50
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
141
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.
6
2001
Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. Zbl 0990.76046
Schötzau, Dominik; Schwab, Christoph
5
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
213
2000
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
95
2000
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
59
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
18
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
14
1998
all top 5

Cited by 1,630 Authors

57 Cockburn, Bernardo
36 Schötzau, Dominik
31 Baccouch, Mahboub
30 He, Yinnian
25 Li, Jichun
25 Schwab, Christoph
25 Shu, Chi-Wang
22 Wihler, Thomas Pascal
21 Gatica, Gabriel N.
20 Houston, Paul
19 Chung, Tsz Shun Eric
19 Huang, Yunqing
18 Yi, Lijun
17 Antonietti, Paola Francesca
17 Giani, Stefano
16 Di Pietro, Daniele Antonio
16 Kanschat, Guido
16 Perugia, Ilaria
15 Castillo, Paul E.
15 Zhang, Qiang
13 Nguyen, Ngoc Cuong
12 Gudi, Thirupathi
12 Xu, Jinchao
11 Adjerid, Slimane
11 Ern, Alexandre
11 Mu, Lin
11 Sayas, Francisco-Javier
11 Wei, LeiLei
11 Xu, Yan
11 Ye, Xiu
10 Chen, Yanping
10 Dolejší, Vít
10 Georgoulis, Emmanuil H.
10 Mustapha, Kassem
10 Nicaise, Serge
10 Ruiz-Baier, Ricardo
10 van der Vegt, Jaap J. W.
9 Bustinza, Rommel A.
9 Cheng, Yingda
9 Dawson, Clint N.
9 Fu, Guosheng
9 Grote, Marcus J.
9 Li, Fengyan
9 Linke, Alexander
9 Oyarzúa, Ricardo
9 Pani, Amiya Kumar
9 Zhang, Shangyou
8 Badia, Santiago
8 Cangiani, Andrea
8 Gómez, Sergio Alejandro
8 Guo, Hui
8 Hesthaven, Jan S.
8 Khan, Arbaz
8 Liu, Hailiang
8 Mazzieri, Ilario
8 Qiu, Weifeng
8 Rivière, Beatrice M.
8 Si, Zhiyong
8 Verani, Marco
8 Wu, Boying
8 Yu, Xijun
8 Zhang, Zhimin
7 Bassi, Francesco
7 Celiker, Fatih
7 Codina, Ramon
7 Colmenares, Eligio
7 Ferrer, Esteban
7 Greif, Chen
7 Han, Weimin
7 Hiptmair, Ralf
7 Hong, Qingguo
7 Huang, Jianguo
7 Huang, Xuehai
7 Karasözen, Bülent
7 Lin, Yanping
7 Lube, Gert
7 Meng, Xiong
7 Neilan, Michael
7 Rhebergen, Sander
7 Wang, Haijin
7 Zhang, Guodong
7 Zhang, Xindong
6 Brenner, Susanne Cecelia
6 Cheng, Yao
6 Crivellini, Andrea
6 Dong, Xiaojing
6 Duan, Huoyuan
6 Feistauer, Miloslav
6 Feng, Xinlong
6 Huerta, Antonio
6 Hughes, Thomas J. R.
6 Lederer, Philip Lukas
6 Lehrenfeld, Christoph
6 Li, Hengguang
6 Li, Jian
6 Lin, Tao
6 Proft, Jennifer
6 Upadhyay, Chandra Shekhar
6 Wang, Lina
6 Wang, Zhongqing
...and 1,530 more Authors
all top 5

Cited in 138 Serials

185 Journal of Scientific Computing
116 Computer Methods in Applied Mechanics and Engineering
102 Journal of Computational Physics
79 Computers & Mathematics with Applications
77 Journal of Computational and Applied Mathematics
72 Mathematics of Computation
65 Applied Numerical Mathematics
51 Applied Mathematics and Computation
46 SIAM Journal on Numerical Analysis
45 SIAM Journal on Scientific Computing
39 Numerische Mathematik
33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
28 Numerical Methods for Partial Differential Equations
26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 Calcolo
18 Computers and Fluids
18 Advances in Computational Mathematics
18 Computational Methods in Applied Mathematics
14 International Journal of Computer Mathematics
13 International Journal for Numerical Methods in Engineering
12 Numerical Algorithms
12 Journal of Numerical Mathematics
12 Science China. Mathematics
9 Mathematics and Computers in Simulation
9 Numerical Linear Algebra with Applications
8 International Journal for Numerical Methods in Fluids
8 BIT
8 Numerical Functional Analysis and Optimization
8 Communications in Computational Physics
8 Advances in Applied Mathematics and Mechanics
7 Journal of Mathematical Analysis and Applications
7 Applied Mathematics Letters
7 Computational and Applied Mathematics
7 Computational Geosciences
6 Computational Mechanics
6 Applied Mathematical Modelling
6 Mathematical Problems in Engineering
6 International Journal of Computational Methods
5 Applicable Analysis
5 Mathematical Methods in the Applied Sciences
5 Computational Optimization and Applications
5 Foundations of Computational Mathematics
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
4 Communications on Applied Mathematics and Computation
3 Computer Physics Communications
3 COMPEL
3 Applications of Mathematics
3 Abstract and Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Linear Algebra and its Applications
2 ETNA. Electronic Transactions on Numerical Analysis
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 Advances in Difference Equations
2 The Australian Journal of Mathematical Analysis and Applications
2 Inverse Problems and Imaging
2 Advances in Mathematical Physics
2 International Journal for Numerical Methods in Biomedical Engineering
2 ISRN Applied Mathematics
2 Communications in Mathematics and Statistics
1 Classical and Quantum Gravity
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Automatica
1 Mathematische Zeitschrift
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Optimization
1 Science in China. Series A
1 Computational Mathematics and Modeling
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Mathematical Imaging and Vision
1 Potential Analysis
1 Journal of Mathematical Sciences (New York)
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Complexity
1 Journal of Difference Equations and Applications
1 Finance and Stochastics
1 Nonlinear Dynamics
1 Optimization Methods & Software
...and 38 more Serials
all top 5

Cited in 35 Fields

1,258 Numerical analysis (65-XX)
607 Partial differential equations (35-XX)
466 Fluid mechanics (76-XX)
131 Mechanics of deformable solids (74-XX)
128 Optics, electromagnetic theory (78-XX)
46 Integral equations (45-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
26 Ordinary differential equations (34-XX)
22 Classical thermodynamics, heat transfer (80-XX)
19 Probability theory and stochastic processes (60-XX)
18 Real functions (26-XX)
16 Geophysics (86-XX)
14 Approximations and expansions (41-XX)
14 Statistical mechanics, structure of matter (82-XX)
14 Biology and other natural sciences (92-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Operations research, mathematical programming (90-XX)
6 Operator theory (47-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Computer science (68-XX)
4 Quantum theory (81-XX)
3 Potential theory (31-XX)
3 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-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)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Statistics (62-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year