Toward Accurate, Efficient, and Robust Hybridized Discontinuous Galerkin Methods
暂无分享,去创建一个
[1] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[2] B. Szabó. Mesh design for the p-version of the finite element method , 1986 .
[3] Bernardo Cockburn,et al. Multigrid for an HDG method , 2013, IMA Journal of Numerical Analysis.
[4] Krzysztof J. Fidkowski,et al. A local sampling approach to anisotropic metric-based mesh optimization , 2016 .
[5] Bernardo Cockburn,et al. A Hybridizable Discontinuous Galerkin Method for the Compressible Euler and Navier-Stokes Equations , 2010, 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.
[6] David L. Darmofal,et al. A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations , 2007, J. Comput. Phys..
[7] Leszek F. Demkowicz,et al. A Fully Automatic hp-Adaptivity , 2002, J. Sci. Comput..
[8] Forrester T. Johnson,et al. Modi cations and Clari cations for the Implementation of the Spalart-Allmaras Turbulence Model , 2011 .
[9] E. Hall,et al. Anisotropic adaptive refinement for discontinuous galerkin methods , 2007 .
[10] Krzysztof J. Fidkowski,et al. Error Estimation and Adaptation in Hybridized Discontinuous Galerkin Methods , 2014 .
[11] Rémi Abgrall,et al. High‐order CFD methods: current status and perspective , 2013 .
[12] Bo Dong,et al. A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems , 2008, Math. Comput..
[13] B. Rivière,et al. Superconvergence and H(div) projection for discontinuous Galerkin methods , 2003 .
[14] A. U.S.,et al. Curved Mesh Generation and Mesh Refinement using Lagrangian Solid Mechanics , 2009 .
[15] R. Hartmann,et al. Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations , 2002 .
[16] Rolf Rannacher,et al. An optimal control approach to a posteriori error estimation in finite element methods , 2001, Acta Numerica.
[17] M. Giles,et al. Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality , 2002, Acta Numerica.
[18] Ivo Babuška,et al. The p - and h-p version of the finite element method, an overview , 1990 .
[19] Frédéric Hecht,et al. Anisotropic unstructured mesh adaption for flow simulations , 1997 .
[20] David L. Darmofal,et al. Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms , 2009, SIAM J. Numer. Anal..
[21] Ralf Hartmann,et al. Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations , 2007, SIAM J. Numer. Anal..
[22] Krzysztof J. Fidkowski,et al. A hybridized discontinuous Galerkin method on mapped deforming domains , 2016 .
[23] D. Darmofal,et al. Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics , 2011 .
[24] Weizhang Huang,et al. An anisotropic mesh adaptation method for the finite element solution of variational problems , 2010 .
[25] Mark Ainsworth,et al. An adaptive refinement strategy for hp -finite element computations , 1998 .
[26] Paul-Louis George,et al. Mailleur bidimensionnel de Delaunay gouverné par une carte de métriques. Partie I: Algorithmes , 1995 .
[27] Marco Ceze,et al. A Robust hp-Adaptation Method for Discontinuous Galerkin Discretizations Applied to Aerodynamic Flows , 2013 .
[28] Z. Pammer,et al. The p–version of the finite–element method , 2014 .
[29] Anthony T. Patera,et al. Bounds for Linear–Functional Outputs of Coercive Partial Differential Equations : Local Indicators and Adaptive Refinement , 1998 .
[30] James Lu,et al. An a posteriori Error Control Framework for Adaptive Precision Optimization using Discontinuous Galerkin Finite Element Method , 2005 .
[31] Simona Perotto,et al. An anisotropic a-posteriori error estimate for a convection-diffusion problem , 2001 .
[32] Michael Woopen,et al. Adjoint-based hp-adaptivity on anisotropic meshes for high-order compressible flow simulations , 2016 .
[33] Francisco-Javier Sayas,et al. A projection-based error analysis of HDG methods , 2010, Math. Comput..
[34] J. Douglas,et al. Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods , 1976 .
[35] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[36] Douglas N. Arnold,et al. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..
[37] Dimitri J. Mavriplis,et al. An hp-Adaptive Discontinuous Galerkin Solver for Aerodynamic flows on Mixed-Element Meshes , 2011 .
[38] Raytcho D. Lazarov,et al. Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems , 2009, SIAM J. Numer. Anal..
[39] Khosro Shahbazi,et al. Short Note: An explicit expression for the penalty parameter of the interior penalty method , 2005 .
[40] Ralf Hartmann. Adaptive Finite Element Methods for the Compressible Euler Equations , 2002 .
[41] Haiying Wang,et al. Superconvergent discontinuous Galerkin methods for second-order elliptic problems , 2009, Math. Comput..
[42] Bernardo Cockburn,et al. An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations , 2009, Journal of Computational Physics.
[43] Ke Shi,et al. An HDG Method for Convection Diffusion Equation , 2016, J. Sci. Comput..
[44] Vipin Kumar,et al. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..
[45] Krzysztof J. Fidkowski,et al. An anisotropic hp-adaptation framework for functional prediction , 2012 .
[46] Xavier Pennec,et al. A Riemannian Framework for Tensor Computing , 2005, International Journal of Computer Vision.
[47] David L. Darmofal,et al. An optimization-based framework for anisotropic simplex mesh adaptation , 2012, J. Comput. Phys..
[48] Michael Woopen,et al. An Anisotropic Adjoint-Based hp-Adaptive HDG Method for Compressible Turbulent Flow , 2015 .
[49] S. Rebay,et al. GMRES Discontinuous Galerkin Solution of the Compressible Navier-Stokes Equations , 2000 .
[50] D. Scott McRae,et al. r-Refinement grid adaptation algorithms and issues , 2000 .
[51] David L. Darmofal,et al. The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows , 2011 .
[52] Bo Dong,et al. A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems , 2009, SIAM J. Sci. Comput..
[53] Vít Dolejší,et al. Anisotropic hp-adaptive method based on interpolation error estimates in the Lq-norm☆ , 2014 .
[54] B. D. Veubeke. Displacement and equilibrium models in the finite element method , 1965 .
[55] Todd A. Oliver. A High-Order, Adaptive, Discontinuous Galerkin Finite Element Method for the Reynolds-Averaged Navier-Stokes Equations , 2008 .
[56] Per-Olof Persson,et al. Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations , 2008, SIAM J. Sci. Comput..
[57] Xevi Roca,et al. GPU-accelerated sparse matrix-vector product for a hybridizable discontinuous Galerkin method , 2011 .
[58] Bernardo Cockburn,et al. A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems , 2004, SIAM J. Numer. Anal..
[59] David Groisser,et al. Scaling-Rotation Distance and Interpolation of Symmetric Positive-Definite Matrices , 2014, SIAM J. Matrix Anal. Appl..
[60] Michael B. Giles,et al. Adjoint Recovery of Superconvergent Functionals from PDE Approximations , 2000, SIAM Rev..
[61] Bernardo Cockburn,et al. An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations , 2009, J. Comput. Phys..
[62] Georg May,et al. An Adjoint Consistency Analysis for a Class of Hybrid Mixed Methods , 2014 .
[63] D. Venditti,et al. Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows , 2003 .
[64] Z. Wang,et al. Adjoint Based Error Estimation and hp-Adaptation for the High-Order CPR Method , 2013 .
[65] Krzysztof J. Fidkowski,et al. A high-order discontinuous Galerkin multigrid solver for aerodynamic applications , 2004 .