Edit Profile (opens in new tab) Gassner, Gregor J. Compute Distance To: Compute Author ID: gassner.gregor-j Published as: Gassner, Gregor J.; Gassner, Gregor; Gassner, G.; Gassner, G. J. more...less Documents Indexed: 71 Publications since 2007 1 Contribution as Editor Co-Authors: 61 Co-Authors with 69 Joint Publications 999 Co-Co-Authors all top 5 Co-Authors 3 single-authored 27 Winters, Andrew R. 21 Munz, Claus-Dieter 17 Hindenlang, Florian J. 17 Kopriva, David Alan 7 Derigs, Dominik 7 Lörcher, Frieder 7 Walch, Stefanie 5 Beck, Andrea D. 5 Dumbser, Michael 4 Bohm, Marvin 4 Bolemann, Thomas 4 Del Rey Fernández, David C. 3 Altmann, Christoph 3 Carpenter, Mark H. 3 Friedrich, Lucas 3 Krais, Nico 3 Nordström, Jan 3 Schnücke, Gero 3 Staudenmaier, Marc 2 Birken, Philipp 2 Flad, David G. 2 Haas, Mark 2 Hennemann, Sebastian 2 Parsani, Matteo 2 Rueda-Ramírez, Andrés Mauricio 2 Taube, Arne 2 Wintermeyer, Niklas 1 Atak, Muhammed 1 Boyd, John Philip 1 Czernik, Christof 1 Dalcín, Lisandro D. 1 Filimon, Alexander 1 Frank, Hannes 1 Fredrich, Lucas 1 Hesthaven, Jan S. 1 Hicken, Jason E. 1 Hoffmann, Malte 1 Horenko, Illia 1 Igdalov, Dimitri 1 Jacobs, Gustaaf B. 1 Klein, Rupert 1 Mengaldo, Gianmarco 1 Metzner, Philipp 1 Moura, Rodrigo Costa 1 Peiró, Joaquim 1 Ranocha, Hendrik 1 Rohde, Christian 1 Roller, Sabine 1 Sadiq, Burhan A. 1 Saur, Joachim 1 Schermeng, Sven 1 Schily, Moritz B. 1 Schlottke-Lakemper, Michael 1 Sherwin, Spencer J. 1 Sonntag, Matthias 1 Svärd, Magnus 1 Versbach, Lea M. 1 von Larcher, Thomas 1 Waidmann, Matthias 1 Weigand, Bernhard 1 Zingg, David W. all top 5 Serials 22 Journal of Computational Physics 18 Journal of Scientific Computing 4 Computers and Fluids 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Applied Mathematics and Computation 3 SIAM Journal on Scientific Computing 2 International Journal for Numerical Methods in Fluids 1 Computers & Mathematics with Applications 1 International Journal of Heat and Mass Transfer 1 BIT 1 International Journal of Computational Fluid Dynamics all top 5 Fields 52 Fluid mechanics (76-XX) 50 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 1,114 times in 547 Documents Cited by ▼ Year ▼ A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065Gassner, Gregor J. 121 2013 Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. Zbl 1422.65280Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. 89 2016 A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Zbl 1123.76040Gassner, Gregor; Lörcher, Frieder; Munz, Claus-Dieter 74 2007 Explicit discontinuous Galerkin methods for unsteady problems. Zbl 1365.76117Hindenlang, Florian; Gassner, Gregor J.; Altmann, Christoph; Beck, Andrea; Staudenmaier, Marc; Munz, Claus-Dieter 64 2012 On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199Kopriva, David A.; Gassner, Gregor 62 2010 A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Zbl 1410.65393Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. 47 2016 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 45 2008 An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. Zbl 1380.65291Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Kopriva, David A. 42 2017 A comparison of the dispersion and dissipation errors of Gauss and Gauss-Lobatto discontinuous Galerkin spectral element methods. Zbl 1255.65089Gassner, Gregor; Kopriva, David A. 41 2011 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 40 2007 Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations. Zbl 1349.76407Winters, Andrew R.; Gassner, Gregor J. 37 2016 An energy stable discontinuous Galerkin spectral element discretization for variable coefficient advection problems. Zbl 1303.65086Kopriva, David A.; Gassner, Gregor J. 34 2014 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 34 2009 A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. Zbl 1415.76461Winters, Andrew R.; Moura, Rodrigo C.; Mengaldo, Gianmarco; Gassner, Gregor J.; Walch, Stefanie; Peiro, Joaquim; Sherwin, Spencer J. 31 2018 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 28 2011 The BR1 scheme is stable for the compressible Navier-Stokes equations. Zbl 1407.65189Gassner, Gregor J.; Winters, Andrew R.; Hindenlang, Florian J.; Kopriva, David A. 26 2018 An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property. Zbl 1407.65185Friedrich, Lucas; Winters, Andrew R.; Del Rey Fernández, David C.; Gassner, Gregor J.; Parsani, Matteo; Carpenter, Mark H. 24 2018 A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations. Zbl 1378.76144Winters, Andrew R.; Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie 20 2017 Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws. Zbl 1421.35262Friedrich, Lucas; Schnücke, Gero; Winters, Andrew R.; Fernández, David C. Del Rey; Gassner, Gregor J.; Carpenter, Mark H. 20 2019 Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. Zbl 1426.76520Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter 19 2013 On the use of kinetic energy preserving DG-schemes for large eddy simulation. Zbl 1380.76019Flad, David; Gassner, Gregor 17 2017 An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Zbl 1147.65077Lörcher, Frieder; Gassner, Gregor; Munz, Claus-Dieter 14 2008 Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations. Zbl 1392.76037Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie; Bohm, Marvin 13 2018 Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems. Zbl 1371.65097Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. 12 2017 Conservative and stable degree preserving SBP operators for non-conforming meshes. Zbl 1404.65087Friedrich, Lucas; Del Rey Fernández, David C.; Winters, Andrew R.; Gassner, Gregor J.; Zingg, David W.; Hicken, Jason 12 2018 A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD. Zbl 1378.76131Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie 11 2017 A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. Zbl 1349.76321Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie 11 2016 An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. Zbl 1416.65363Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Warburton, Timothy 11 2018 A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping. Zbl 1358.76040Gassner, Gregor J.; Hindenlang, Florian; Munz, Claus-Dieter 9 2011 Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Zbl 1410.65372Kopriva, David A.; Gassner, Gregor J. 9 2016 FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter 9 2021 A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography. Zbl 1349.76285Winters, Andrew R.; Gassner, Gregor J. 8 2015 Correction to: “The BR1 scheme is stable for the compressible Navier-Stokes equations”. Zbl 1466.65131Gassner, Gregor J.; Winters, Andrew R.; Hindenlang, Florian J.; Kopriva, David A. 8 2018 A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes. Zbl 1390.76653Kopriva, David A.; Winters, Andrew R.; Bohm, Marvin; Gassner, Gregor J. 8 2016 The effect of wall conduction for the extended Graetz problem for laminar and turbulent channel flows. Zbl 1124.80377Weigand, B.; Gassner, G. 7 2007 Free-stream preservation for curved geometrically non-conforming discontinuous Galerkin spectral elements. Zbl 1448.76111Kopriva, David A.; Hindenlang, Florian J.; Bolemann, Thomas; Gassner, Gregor J. 7 2019 A kinetic energy preserving nodal discontinuous Galerkin spectral element method. Zbl 1455.76142Gassner, Gregor J. 7 2014 The nonconvergence of \(h\)-refinement in prolate elements. Zbl 1282.65148Boyd, John P.; Gassner, Gregor; Sadiq, Burhan A. 5 2013 A space-time adaptive discontinuous Galerkin scheme. Zbl 1390.65106Gassner, Gregor; Staudenmaier, Marc; Hindenlang, Florian; Atak, Muhammed; Munz, Claus-Dieter 4 2015 Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods. Zbl 07474499Birken, Philipp; Gassner, Gregor J.; Versbach, Lea M. 3 2019 Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations. Zbl 07336673Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Fredrich, Lucas; Winters, Andrew R.; Gassner, Gregor J.; Parsani, Matteo 3 2020 Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 1476.65317Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan 3 2021 An entropy stable finite volume scheme for the equations of shallow water magnetohydrodynamics. Zbl 1381.76227Winters, Andrew R.; Gassner, Gregor J. 3 2016 An analysis of the dissipation and dispersion errors of the \(P_{N } P_{M }\) schemes. Zbl 1259.65148Gassner, Gregor J. 3 2013 Entropy stable numerical approximations for the isothermal and polytropic Euler equations. Zbl 1446.65134Winters, Andrew R.; Czernik, Christof; Schily, Moritz B.; Gassner, Gregor J. 3 2020 Entropy stable discontinuous Galerkin schemes on moving meshes for hyperbolic conservation laws. Zbl 1437.65142Schnücke, Gero; Krais, Nico; Bolemann, Thomas; Gassner, Gregor J. 3 2020 Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations. Zbl 1484.65256Hindenlang, Florian J.; Gassner, Gregor J.; Kopriva, David A. 2 2020 High order and underresolution. Zbl 1381.76154Beck, Andrea; Gassner, Gregor; Munz, Claus-Dieter 2 2013 Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods. Zbl 1427.65282Bohm, Marvin; Schermeng, Sven; Winters, Andrew R.; Gassner, Gregor J.; Jacobs, Gustaaf B. 2 2019 Entropy stable finite volume approximations for ideal magnetohydrodynamics. Zbl 1447.78020Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie; Winters, Andrew R. 2 2018 Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability. Zbl 07477386Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J. 1 2022 On the effect of flux functions in discontinuous Galerkin simulations of underresolved turbulence. Zbl 1302.76079Beck, Andrea D.; Gassner, Gregor J.; Munz, Claus-Dieter 1 2014 Shock detection and limiting strategies for high order discontinuous Galerkin schemes. Zbl 1169.76388Altmann, C.; Taube, A.; Gassner, G.; Lörcher, F.; Munz, C.-D. 1 2009 A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations. Zbl 07510051Hennemann, Sebastian; Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Gassner, Gregor J. 1 2021 A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. Zbl 07513798Schlottke-Lakemper, Michael; Winters, Andrew R.; Ranocha, Hendrik; Gassner, Gregor J. 1 2021 Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability. Zbl 07477386Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J. 1 2022 FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter 9 2021 Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 1476.65317Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan 3 2021 A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations. Zbl 07510051Hennemann, Sebastian; Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Gassner, Gregor J. 1 2021 A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. Zbl 07513798Schlottke-Lakemper, Michael; Winters, Andrew R.; Ranocha, Hendrik; Gassner, Gregor J. 1 2021 Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations. Zbl 07336673Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Fredrich, Lucas; Winters, Andrew R.; Gassner, Gregor J.; Parsani, Matteo 3 2020 Entropy stable numerical approximations for the isothermal and polytropic Euler equations. Zbl 1446.65134Winters, Andrew R.; Czernik, Christof; Schily, Moritz B.; Gassner, Gregor J. 3 2020 Entropy stable discontinuous Galerkin schemes on moving meshes for hyperbolic conservation laws. Zbl 1437.65142Schnücke, Gero; Krais, Nico; Bolemann, Thomas; Gassner, Gregor J. 3 2020 Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations. Zbl 1484.65256Hindenlang, Florian J.; Gassner, Gregor J.; Kopriva, David A. 2 2020 Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws. Zbl 1421.35262Friedrich, Lucas; Schnücke, Gero; Winters, Andrew R.; Fernández, David C. Del Rey; Gassner, Gregor J.; Carpenter, Mark H. 20 2019 Free-stream preservation for curved geometrically non-conforming discontinuous Galerkin spectral elements. Zbl 1448.76111Kopriva, David A.; Hindenlang, Florian J.; Bolemann, Thomas; Gassner, Gregor J. 7 2019 Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods. Zbl 07474499Birken, Philipp; Gassner, Gregor J.; Versbach, Lea M. 3 2019 Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods. Zbl 1427.65282Bohm, Marvin; Schermeng, Sven; Winters, Andrew R.; Gassner, Gregor J.; Jacobs, Gustaaf B. 2 2019 A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. Zbl 1415.76461Winters, Andrew R.; Moura, Rodrigo C.; Mengaldo, Gianmarco; Gassner, Gregor J.; Walch, Stefanie; Peiro, Joaquim; Sherwin, Spencer J. 31 2018 The BR1 scheme is stable for the compressible Navier-Stokes equations. Zbl 1407.65189Gassner, Gregor J.; Winters, Andrew R.; Hindenlang, Florian J.; Kopriva, David A. 26 2018 An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property. Zbl 1407.65185Friedrich, Lucas; Winters, Andrew R.; Del Rey Fernández, David C.; Gassner, Gregor J.; Parsani, Matteo; Carpenter, Mark H. 24 2018 Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations. Zbl 1392.76037Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie; Bohm, Marvin 13 2018 Conservative and stable degree preserving SBP operators for non-conforming meshes. Zbl 1404.65087Friedrich, Lucas; Del Rey Fernández, David C.; Winters, Andrew R.; Gassner, Gregor J.; Zingg, David W.; Hicken, Jason 12 2018 An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. Zbl 1416.65363Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Warburton, Timothy 11 2018 Correction to: “The BR1 scheme is stable for the compressible Navier-Stokes equations”. Zbl 1466.65131Gassner, Gregor J.; Winters, Andrew R.; Hindenlang, Florian J.; Kopriva, David A. 8 2018 Entropy stable finite volume approximations for ideal magnetohydrodynamics. Zbl 1447.78020Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie; Winters, Andrew R. 2 2018 An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. Zbl 1380.65291Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Kopriva, David A. 42 2017 A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations. Zbl 1378.76144Winters, Andrew R.; Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie 20 2017 On the use of kinetic energy preserving DG-schemes for large eddy simulation. Zbl 1380.76019Flad, David; Gassner, Gregor 17 2017 Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems. Zbl 1371.65097Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. 12 2017 A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD. Zbl 1378.76131Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie 11 2017 Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. Zbl 1422.65280Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. 89 2016 A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Zbl 1410.65393Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. 47 2016 Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations. Zbl 1349.76407Winters, Andrew R.; Gassner, Gregor J. 37 2016 A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. Zbl 1349.76321Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie 11 2016 Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Zbl 1410.65372Kopriva, David A.; Gassner, Gregor J. 9 2016 A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes. Zbl 1390.76653Kopriva, David A.; Winters, Andrew R.; Bohm, Marvin; Gassner, Gregor J. 8 2016 An entropy stable finite volume scheme for the equations of shallow water magnetohydrodynamics. Zbl 1381.76227Winters, Andrew R.; Gassner, Gregor J. 3 2016 A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography. Zbl 1349.76285Winters, Andrew R.; Gassner, Gregor J. 8 2015 A space-time adaptive discontinuous Galerkin scheme. Zbl 1390.65106Gassner, Gregor; Staudenmaier, Marc; Hindenlang, Florian; Atak, Muhammed; Munz, Claus-Dieter 4 2015 An energy stable discontinuous Galerkin spectral element discretization for variable coefficient advection problems. Zbl 1303.65086Kopriva, David A.; Gassner, Gregor J. 34 2014 A kinetic energy preserving nodal discontinuous Galerkin spectral element method. Zbl 1455.76142Gassner, Gregor J. 7 2014 On the effect of flux functions in discontinuous Galerkin simulations of underresolved turbulence. Zbl 1302.76079Beck, Andrea D.; Gassner, Gregor J.; Munz, Claus-Dieter 1 2014 A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065Gassner, Gregor J. 121 2013 Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. Zbl 1426.76520Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter 19 2013 The nonconvergence of \(h\)-refinement in prolate elements. Zbl 1282.65148Boyd, John P.; Gassner, Gregor; Sadiq, Burhan A. 5 2013 An analysis of the dissipation and dispersion errors of the \(P_{N } P_{M }\) schemes. Zbl 1259.65148Gassner, Gregor J. 3 2013 High order and underresolution. Zbl 1381.76154Beck, Andrea; Gassner, Gregor; Munz, Claus-Dieter 2 2013 Explicit discontinuous Galerkin methods for unsteady problems. Zbl 1365.76117Hindenlang, Florian; Gassner, Gregor J.; Altmann, Christoph; Beck, Andrea; Staudenmaier, Marc; Munz, Claus-Dieter 64 2012 A comparison of the dispersion and dissipation errors of Gauss and Gauss-Lobatto discontinuous Galerkin spectral element methods. Zbl 1255.65089Gassner, Gregor; Kopriva, David A. 41 2011 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 28 2011 A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping. Zbl 1358.76040Gassner, Gregor J.; Hindenlang, Florian; Munz, Claus-Dieter 9 2011 On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199Kopriva, David A.; Gassner, Gregor 62 2010 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 34 2009 Shock detection and limiting strategies for high order discontinuous Galerkin schemes. Zbl 1169.76388Altmann, C.; Taube, A.; Gassner, G.; Lörcher, F.; Munz, C.-D. 1 2009 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 45 2008 An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Zbl 1147.65077Lörcher, Frieder; Gassner, Gregor; Munz, Claus-Dieter 14 2008 A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Zbl 1123.76040Gassner, Gregor; Lörcher, Frieder; Munz, Claus-Dieter 74 2007 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 40 2007 The effect of wall conduction for the extended Graetz problem for laminar and turbulent channel flows. Zbl 1124.80377Weigand, B.; Gassner, G. 7 2007 all cited Publications top 5 cited Publications all top 5 Cited by 776 Authors 45 Gassner, Gregor J. 41 Dumbser, Michael 29 Nordström, Jan 28 Winters, Andrew R. 27 Munz, Claus-Dieter 24 Ranocha, Hendrik 20 Del Rey Fernández, David C. 20 Kopriva, David Alan 18 Chan, Jesse 13 Bassi, Francesco 13 Ferrer, Esteban 13 Zingg, David W. 12 Hindenlang, Florian J. 11 Carpenter, Mark H. 11 Rubio, Gonzalo 11 Sherwin, Spencer J. 10 Beck, Andrea D. 10 Colombo, Alessandro G. 10 Manzanero, Juan 10 Öffner, Philipp 10 Parsani, Matteo 9 Moura, Rodrigo Costa 9 Tavelli, Maurizio 9 Valero, Eusebio 8 Boscheri, Walter 8 Botti, Lorenzo 8 Dalcín, Lisandro D. 8 Ghidoni, Antonio 8 Hicken, Jason E. 8 Kronbichler, Martin 8 Mengaldo, Gianmarco 8 Peiró, Joaquim 8 Rohde, Christian 7 Busto, Saray 7 Crivellini, Andrea 6 Abgrall, Rémi 6 Dolejší, Vít 6 Duru, Kenneth 6 Glaubitz, Jan 6 Hidalgo, Arturo 6 Ketcheson, David I. 6 Lundquist, Tomas 6 Luo, Hong 6 Shu, Chi-Wang 6 Toro, Eleuterio F. 6 Walch, Stefanie 6 Wall, Wolfgang A. 6 Warburton, Timothy 6 Wilcox, Lucas C. 6 Zanotti, Olindo 5 Chandrashekar, Praveen 5 Derigs, Dominik 5 Kriksin, Yu. A. 5 Liu, Hailiang 5 Liu, Tiegang 5 Massa, Francesco Carlo 5 Meyer, Fabian 5 Nigro, Alessandra 5 Renac, Florent 5 Rueda-Ramírez, Andrés Mauricio 5 Schütz, Jochen 5 Sjogreen, Bjorn 5 Tishkin, Vladimir Fëdorovich 5 Tsoutsanis, Panagiotis 5 Yee, Helen C. 5 Zeifang, Jonas 4 Balsara, Dinshaw S. 4 Boom, Pieter D. 4 Cheng, Jian 4 Dawson, Clint N. 4 Dürrwächter, Jakob 4 Fambri, Francesco 4 Fehn, Niklas 4 Gabriel, Alice-Agnes 4 Kawai, Soshi 4 Kim, Chongam 4 Kozdon, Jeremy Edward 4 Kreiss, Gunilla 4 Kuya, Yuichi 4 Laurén, Fredrik 4 Lörcher, Frieder 4 Loubère, Raphaël 4 Moxey, David 4 Nadarajah, Siva K. 4 O’Reilly, Ossian 4 Seal, David C. 4 Teukolsky, Saul A. 4 Zhang, Zhimin 3 Antoniadis, Antonis F. 3 Bader, Michael 3 Biswas, Biswarup 3 Bolemann, Thomas 3 Bragin, Michael D. 3 Bui-Thanh, Tan 3 De Bartolo, Carmine 3 De Grazia, Daniele 3 de la Llave Plata, Marta 3 Drikakis, Dimitris 3 Duraisamy, Karthik 3 Franchina, Nicoletta ...and 676 more Authors all top 5 Cited in 64 Serials 192 Journal of Computational Physics 84 Journal of Scientific Computing 61 Computers and Fluids 26 Computer Methods in Applied Mechanics and Engineering 18 SIAM Journal on Scientific Computing 17 Computers & Mathematics with Applications 13 Applied Mathematics and Computation 10 Applied Numerical Mathematics 7 Mathematics of Computation 7 Numerische Mathematik 7 Communications on Applied Mathematics and Computation 6 SIAM Journal on Numerical Analysis 6 Communications in Computational Physics 5 International Journal of Heat and Mass Transfer 5 Matematicheskoe Modelirovanie 4 Journal of Computational and Applied Mathematics 4 Numerical Methods for Partial Differential Equations 4 International Journal of Computational Fluid Dynamics 4 SN Partial Differential Equations and Applications 3 BIT 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Advances in Applied Mathematics and Mechanics 2 Numerical Algorithms 2 SIAM Review 2 Computational and Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Classical and Quantum Gravity 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Calcolo 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Meccanica 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Computational Mathematics and Mathematical Physics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Numerical Modelling 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 Advances in Mathematical Physics 1 GEM - International Journal on Geomathematics 1 Analysis and Mathematical Physics 1 Axioms 1 Constructive Mathematical Analysis 1 International Journal on Finite Volumes all top 5 Cited in 26 Fields 448 Numerical analysis (65-XX) 351 Fluid mechanics (76-XX) 198 Partial differential equations (35-XX) 20 Mechanics of deformable solids (74-XX) 16 Geophysics (86-XX) 8 Optics, electromagnetic theory (78-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year