Edit Profile (opens in new tab) Schötzau, Dominik Compute Distance To: Compute Author ID: schotzau.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: 34 Co-Authors with 79 Joint Publications 1,180 Co-Co-Authors all top 5 Co-Authors 2 single-authored 24 Schwab, Christoph 17 Perugia, Ilaria 14 Houston, Paul 13 Cockburn, Bernardo 10 Wihler, Thomas Pascal 9 Kanschat, Guido 8 Schneebeli, Anna 5 Gerdes, Klaus 5 Greif, Chen 4 Grote, Marcus J. 4 Zhu, Liang 3 Castillo, Paul E. 3 Toselli, Andrea 3 Wei, Xiaoxi 2 Brunner, Hermann 2 Giani, Stefano 2 Li, Dan 2 Müller, Fabian Lukas 2 Mustapha, Kassem 2 Stenberg, Rolf 1 Carrero, Jesús 1 Hasler, Urs 1 Könnö, Juho 1 Marcati, Carlo 1 Melenk, Jens Markus 1 Monk, Peter B. 1 Mustapha, Hussein 1 Oyarzúa, Ricardo 1 Qin, Tong 1 Wang, Jing 1 Warsa, James S. 1 Wathen, Michael 1 Werder, Thomas 1 Wirz, Marcel all top 5 Serials 13 SIAM Journal on Numerical Analysis 9 Journal of Scientific Computing 8 IMA Journal of Numerical Analysis 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics of Computation 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Numerische Mathematik 3 Applied Numerical Mathematics 2 Calcolo 2 Numerical Linear Algebra with Applications 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational and Applied Mathematics 1 Finite Elements in Analysis and Design 1 COMPEL 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 ETNA. Electronic Transactions on Numerical Analysis 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 68 Numerical analysis (65-XX) 33 Partial differential equations (35-XX) 31 Fluid mechanics (76-XX) 15 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 2,879 times in 1,597 Documents Cited by ▼ Year ▼ An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 232 2000 Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik 158 2001 A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 151 2005 Discontinuous Galerkin finite element method for the wave equation. Zbl 1129.65065Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik 124 2006 Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph 123 2002 Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems. Zbl 0997.65111Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph 121 2002 A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 109 2007 Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091Schötzau, Dominik; Schwab, Christoph 102 2000 Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043Schötzau, Dominik 100 2004 Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea 75 2003 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 72 2007 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060Perugia, Ilaria; Schötzau, Dominik 69 2002 A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi 67 2010 An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084Schötzau, Dominik; Schwab, Christoph 62 2000 Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 58 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 57 2004 Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128Mustapha, Kassem; Schötzau, Dominik 56 2014 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011Perugia, I.; Schötzau, D.; Monk, P. 53 2002 Hybridized globally divergence-free LDG methods. I: The Stokes problem. Zbl 1087.76061Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik 51 2006 The local discontinuous Galerkin method for the Oseen equations. Zbl 1066.76036Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 47 2004 The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007Perugia, Ilaria; Schötzau, Dominik 44 2003 Optimal error estimates for the fully discrete interior penalty DG method for the wave equation. Zbl 1203.65182Grote, Marcus J.; Schötzau, Dominik 43 2009 \(hp\)-discontinuous Galerkin time-stepping for Volterra integrodifferential equations. Zbl 1116.65127Brunner, Hermann; Schötzau, Dominik 42 2006 Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010Greif, Chen; Schötzau, Dominik 41 2007 \(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph 38 2001 Mixed finite element approximation of incompressible MHD problems based on weighted regularization. Zbl 1126.76341Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik 37 2004 A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations. Zbl 1169.65108Schötzau, Dominik; Zhu, Liang 33 2009 Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042Greif, Chen; Schötzau, Dominik 32 2006 Discontinuous Galerkin methods for incompressible elastic materials. Zbl 1128.74041Cockburn, Bernardo; Schötzau, Dominik; Wang, Jing 32 2006 The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. Zbl 1138.76382Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 31 2005 An \(hp\)-version discontinuous Galerkin method for integro-differential equations of parabolic type. Zbl 1230.65143Mustapha, K.; Brunner, H.; Mustapha, H.; Schötzau, D. 30 2011 An exactly divergence-free finite element method for a generalized Boussinesq problem. Zbl 1301.76052Oyarzúa, Ricardo; Qin, Tong; Schötzau, Dominik 29 2014 Interior penalty discontinuous Galerkin method for Maxwell’s equations: energy norm error estimates. Zbl 1136.78014Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik 29 2007 An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 29 2006 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 27 2005 An equal-order DG method for the incompressible Navier-Stokes equations. Zbl 1203.76080Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 26 2009 \(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215Schötzau, D.; Schwab, Ch.; Wihler, T. P. 26 2013 A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations. Zbl 1225.65104Zhu, Liang; Schötzau, Dominik 24 2011 Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik 23 2011 A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi 22 2009 \(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal 22 2013 Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes. Zbl 0958.76049Schötzau, Dominik; Schwab, Christoph; Stenberg, Rolf 20 1999 A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations. Zbl 1191.65124Schötzau, Dominik; Wihler, Thomas P. 19 2010 Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 19 2005 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 19 2005 \(hp\)-discontinuous Galerkin time-stepping for parabolic problems. Zbl 0993.65108Schötzau, Dominik; Schwab, Christoph 16 2001 Mixed \(hp\)-FEM on anisotropic meshes. Zbl 0958.76048Schötzau, Dominik; Schwab, Christoph 16 1998 Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons. Zbl 1130.76331Schötzau, Dominik; Wihler, Thomas P. 16 2003 On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117Perugia, Ilaria; Schötzau, Dominik 15 2001 An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 13 2007 Interior penalty discontinuous Galerkin method for Maxwell’s equations: Optimal \(L^{2}\)-norm error estimates. Zbl 1145.78006Grote, 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 1140.76020Kanschat, Guido; Schötzau, Dominik 12 2008 An a-posteriori error estimate for \(hp\)-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes. Zbl 1350.65114Giani, Stefano; Schötzau, Dominik; Zhu, Liang 11 2014 \(hp\)-finite element simulations for Stokes flow – stable and stabilized. Zbl 0965.76043Gerdes, K.; Schötzau, D. 11 1999 Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 11 2005 \(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012Houston, P.; Perugia, I.; Schötzau, D. 10 2003 \(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P. 10 2016 Stabilized \(hp\)-DGFEM for incompressible flow. Zbl 1050.76034Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea 9 2003 Mixed \(hp\)-DGFEM for incompressible flows. II: Geometric edge meshes. Zbl 1114.76046Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea 9 2004 Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 9 2004 Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612Wathen, Michael; Greif, Chen; Schötzau, Dominik 9 2017 Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091Li, Dan; Greif, Chen; Schötzau, Dominik 8 2012 Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099Schötzau, Dominik; Schwab, Christoph 8 2015 Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D. 7 2002 Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D. 7 2001 Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. Zbl 0990.76046Schötzau, Dominik; Schwab, Christoph 6 2001 Abstract of the PhD thesis: “\(hp\)-DGFEM for parabolic evolution problems – applications to diffusion and viscous incompressible fluid flow. Zbl 0978.76053Schötzau, D. 6 2000 The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. Zbl 1012.65122Gerdes, 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 1402.65166Schötzau, Dominik; Schwab, Christoph 4 2018 Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145Müller, Fabian; Schötzau, Dominik; Schwab, Christoph 4 2017 Mixed finite element methods for problems with Robin boundary conditions. Zbl 1226.65094Könnö, Juho; Schötzau, Dominik; Stenberg, Rolf 3 2011 Mixed finite elements for incompressible magneto-hydrodynamics. Zbl 1084.76049Schneebeli, Anna; Schötzau, Dominik 3 2003 Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080Müller, Fabian; Schötzau, Dominik; Schwab, Christoph 2 2018 LDG methods for Stokes flow problems. Zbl 1283.76031Cockburn, B.; Kanschat, G.; Schötzau, D. 1 2003 On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086Perugia, Ilaria; Schötzau, Dominik; Warsa, James 1 2004 Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166Schötzau, Dominik; Schwab, Christoph 4 2018 Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080Müller, Fabian; Schötzau, Dominik; Schwab, Christoph 2 2018 Preconditioners for mixed finite element discretizations of incompressible MHD equations. Zbl 06822612Wathen, Michael; Greif, Chen; Schötzau, Dominik 9 2017 Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145Müller, Fabian; Schötzau, Dominik; Schwab, Christoph 4 2017 \(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P. 10 2016 Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099Schötzau, Dominik; Schwab, Christoph 8 2015 Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128Mustapha, Kassem; Schötzau, Dominik 56 2014 An exactly divergence-free finite element method for a generalized Boussinesq problem. Zbl 1301.76052Oyarzúa, 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 1350.65114Giani, Stefano; Schötzau, Dominik; Zhu, Liang 11 2014 \(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215Schötzau, D.; Schwab, Ch.; Wihler, T. P. 26 2013 \(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal 22 2013 Parallel numerical solution of the time-harmonic Maxwell equations in mixed form. Zbl 1274.78091Li, Dan; Greif, Chen; Schötzau, Dominik 8 2012 An \(hp\)-version discontinuous Galerkin method for integro-differential equations of parabolic type. Zbl 1230.65143Mustapha, K.; Brunner, H.; Mustapha, H.; Schötzau, D. 30 2011 A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations. Zbl 1225.65104Zhu, Liang; Schötzau, Dominik 24 2011 Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik 23 2011 Mixed finite element methods for problems with Robin boundary conditions. Zbl 1226.65094Könnö, Juho; Schötzau, Dominik; Stenberg, Rolf 3 2011 A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Zbl 1231.76146Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi 67 2010 A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations. Zbl 1191.65124Schötzau, Dominik; Wihler, Thomas P. 19 2010 Optimal error estimates for the fully discrete interior penalty DG method for the wave equation. Zbl 1203.65182Grote, Marcus J.; Schötzau, Dominik 43 2009 A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations. Zbl 1169.65108Schötzau, Dominik; Zhu, Liang 33 2009 An equal-order DG method for the incompressible Navier-Stokes equations. Zbl 1203.76080Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 26 2009 A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi 22 2009 Interior penalty discontinuous Galerkin method for Maxwell’s equations: Optimal \(L^{2}\)-norm error estimates. Zbl 1145.78006Grote, 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 1140.76020Kanschat, Guido; Schötzau, Dominik 12 2008 A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 109 2007 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 72 2007 Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010Greif, Chen; Schötzau, Dominik 41 2007 Interior penalty discontinuous Galerkin method for Maxwell’s equations: energy norm error estimates. Zbl 1136.78014Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik 29 2007 An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 13 2007 Discontinuous Galerkin finite element method for the wave equation. Zbl 1129.65065Grote, Marcus J.; Schneebeli, Anna; Schötzau, Dominik 124 2006 Hybridized globally divergence-free LDG methods. I: The Stokes problem. Zbl 1087.76061Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik 51 2006 \(hp\)-discontinuous Galerkin time-stepping for Volterra integrodifferential equations. Zbl 1116.65127Brunner, Hermann; Schötzau, Dominik 42 2006 Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042Greif, Chen; Schötzau, Dominik 32 2006 Discontinuous Galerkin methods for incompressible elastic materials. Zbl 1128.74041Cockburn, Bernardo; Schötzau, Dominik; Wang, Jing 32 2006 An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 29 2006 A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 151 2005 Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 58 2005 The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. Zbl 1138.76382Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 31 2005 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 27 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 19 2005 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 19 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 11 2005 Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043Schötzau, Dominik 100 2004 Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 57 2004 The local discontinuous Galerkin method for the Oseen equations. Zbl 1066.76036Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 47 2004 Mixed finite element approximation of incompressible MHD problems based on weighted regularization. Zbl 1126.76341Hasler, Urs; Schneebeli, Anna; Schötzau, Dominik 37 2004 Mixed \(hp\)-DGFEM for incompressible flows. II: Geometric edge meshes. Zbl 1114.76046Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea 9 2004 Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 9 2004 On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086Perugia, Ilaria; Schötzau, Dominik; Warsa, James 1 2004 Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea 75 2003 The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007Perugia, Ilaria; Schötzau, Dominik 44 2003 Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons. Zbl 1130.76331Schötzau, Dominik; Wihler, Thomas P. 16 2003 \(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012Houston, P.; Perugia, I.; Schötzau, D. 10 2003 Stabilized \(hp\)-DGFEM for incompressible flow. Zbl 1050.76034Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea 9 2003 Mixed finite elements for incompressible magneto-hydrodynamics. Zbl 1084.76049Schneebeli, Anna; Schötzau, Dominik 3 2003 LDG methods for Stokes flow problems. Zbl 1283.76031Cockburn, B.; Kanschat, G.; Schötzau, D. 1 2003 Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph 123 2002 Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems. Zbl 0997.65111Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph 121 2002 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060Perugia, Ilaria; Schötzau, Dominik 69 2002 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011Perugia, I.; Schötzau, D.; Monk, P. 53 2002 Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D. 7 2002 Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik 158 2001 \(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph 38 2001 \(hp\)-discontinuous Galerkin time-stepping for parabolic problems. Zbl 0993.65108Schötzau, Dominik; Schwab, Christoph 16 2001 On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117Perugia, Ilaria; Schötzau, Dominik 15 2001 Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D. 7 2001 Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. Zbl 0990.76046Schötzau, Dominik; Schwab, Christoph 6 2001 The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. Zbl 1012.65122Gerdes, 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 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 232 2000 Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091Schötzau, Dominik; Schwab, Christoph 102 2000 An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084Schötzau, 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 0978.76053Schötzau, D. 6 2000 Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes. Zbl 0958.76049Schötzau, Dominik; Schwab, Christoph; Stenberg, Rolf 20 1999 \(hp\)-finite element simulations for Stokes flow – stable and stabilized. Zbl 0965.76043Gerdes, K.; Schötzau, D. 11 1999 Mixed \(hp\)-FEM on anisotropic meshes. Zbl 0958.76048Schötzau, Dominik; Schwab, Christoph 16 1998 all cited Publications top 5 cited Publications all top 5 Cited by 1,836 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 Oyarzúa, Ricardo 12 Wang, Fei 12 Wei, LeiLei 12 Xu, Yan 12 Ye, Xiu 11 Adjerid, Slimane 11 Mazzieri, Ilario 11 Mu, Lin 11 Rhebergen, Sander 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 Grote, Marcus J. 10 Li, Changpin 10 Mustapha, Kassem 10 Nicaise, Serge 10 Pani, Amiya Kumar 10 van der Vegt, Jaap J. 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