[图书][B] Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …
same time, incorporates several recent mathematical developments. The presentation is to a …
Numerical modeling of seismic waves by discontinuous spectral element methods
PF Antonietti, A Ferroni, I Mazzieri… - ESAIM: Proceedings …, 2018 - esaim-proc.org
We present a comprehensive review of Discontinuous Galerkin Spectral Element (DGSE)
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations
R Hartmann, P Houston - Journal of Computational Physics, 2008 - Elsevier
In this article we propose a new symmetric version of the interior penalty discontinuous
Galerkin finite element method for the numerical approximation of the compressible Navier …
Galerkin finite element method for the numerical approximation of the compressible Navier …
-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
In this paper we introduce the hp-version discontinuous Galerkin composite finite element
method for the discretization of second-order elliptic partial differential equations. This class …
method for the discretization of second-order elliptic partial differential equations. This class …
Adaptive grid refinement for hydrodynamic flows
An adaptive grid refinement method is presented for hydrodynamic flow simulation. It is
meant for application to a wide range of realistic flow problems, so generality and flexibility …
meant for application to a wide range of realistic flow problems, so generality and flexibility …
A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods
PF Antonietti, P Houston - Journal of Scientific Computing, 2011 - Springer
In this article we address the question of efficiently solving the algebraic linear system of
equations arising from the discretization of a symmetric, elliptic boundary value problem …
equations arising from the discretization of a symmetric, elliptic boundary value problem …
Dispersion-dissipation analysis of 3-D continuous and discontinuous spectral element methods for the elastodynamics equation
A Ferroni, PF Antonietti, I Mazzieri… - Geophysical Journal …, 2017 - academic.oup.com
In this paper we present a 3-D dispersion and dissipation analysis for both the semi-discrete
and the fully discrete approximation of the elastodynamics equation based on the plane …
and the fully discrete approximation of the elastodynamics equation based on the plane …
Goal-oriented error estimation and adaptivity for fluid–structure interaction using exact linearized adjoints
We develop duality-based a posteriori error estimates for functional outputs of solutions of
steady fluid–structure-interaction problems. The crucial complication in obtaining these …
steady fluid–structure-interaction problems. The crucial complication in obtaining these …
Error estimation and adaptive mesh refinement for aerodynamic flows
R Hartmann, J Held, T Leicht, F Prill - … by the European Union, 2006-2009, 2010 - Springer
We consider the adjoint-based error estimation and goal-oriented mesh refinement for
single and multiple aerodynamic force coefficients as well as residual-based mesh …
single and multiple aerodynamic force coefficients as well as residual-based mesh …
Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem
We consider semi-discrete discontinuous Galerkin approximations of both displacement and
displacement-stress formulations of the elastodynamics problem. We prove the stability …
displacement-stress formulations of the elastodynamics problem. We prove the stability …