Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable
暂无分享,去创建一个
[1] Jeremy E. Kozdon,et al. Simulation of Dynamic Earthquake Ruptures in Complex Geometries Using High-Order Finite Difference Methods , 2013, J. Sci. Comput..
[2] Marc Duruflé,et al. Application of Discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic , 2009 .
[3] J. Hesthaven,et al. Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications , 2007 .
[4] Gregor Gassner,et al. A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods , 2011, SIAM J. Sci. Comput..
[5] W. J. Gordon,et al. Construction of curvilinear co-ordinate systems and applications to mesh generation , 1973 .
[6] Joel Ferziger,et al. Higher Order Methods for Incompressible Fluid Flow: by Deville, Fischer and Mund, Cambridge University Press, 499 pp. , 2003 .
[7] M. Y. Hussaini,et al. Discontinuous Spectral Element Solution of Acoustic Radiation from Thin Airfoils , 2001 .
[8] Claus-Dieter Munz,et al. Explicit Discontinuous Galerkin methods for unsteady problems , 2012 .
[9] David A. Kopriva,et al. Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes , 2006, J. Sci. Comput..
[10] M. Y. Hussaini,et al. Discontinuous Spectral Element Approximation of Maxwell’s Equations , 2000 .
[11] Gregor Gassner,et al. An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems , 2014, SIAM J. Sci. Comput..
[12] F. Farassat,et al. Aircraft Engine Noise Scattering - A Discontinuous Spectral Element Approach , 2002 .
[13] Davis A. Kopriva,et al. Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method , 2002 .
[14] M. Y. Hussaini,et al. Computation of Engine Noise Propagation and Scattering off An Aircraft , 2002 .
[15] Shaozhong Deng,et al. Numerical simulation of optical coupling and light propagation in coupled optical resonators with size disorder , 2007 .
[16] Gregor Gassner,et al. On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods , 2010, J. Sci. Comput..
[17] Wei Cai,et al. Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides. , 2004, Optics express.
[18] Claus-Dieter Munz,et al. An Efficient High Performance Parallelization of a Discontinuous Galerkin Spectral Element Method , 2012, Facing the Multicore-Challenge.
[19] Anthony T. Patera,et al. An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry , 1986 .
[20] Jan Nordström,et al. Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation , 2006, J. Sci. Comput..
[21] Gregor Gassner,et al. A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods , 2013, SIAM J. Sci. Comput..
[22] Gary Cohen,et al. A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain , 2006, J. Comput. Phys..
[23] A. Quarteroni,et al. Approximation results for orthogonal polynomials in Sobolev spaces , 1982 .