Review of output-based error estimation and mesh adaptation in computational fluid dynamics
KJ Fidkowski, DL Darmofal - AIAA journal, 2011 - arc.aiaa.org
Error estimation and control are critical ingredients for improving the reliability of
computational simulations. Adjoint-based techniques can be used to both estimate the error …
computational simulations. Adjoint-based techniques can be used to both estimate the error …
The deal. II library, version 9.2
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hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes
A Cangiani, EH Georgoulis… - Mathematical Models and …, 2014 - World Scientific
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …
solution of second-order elliptic partial differential equations on general computational …
[图书][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
In this paper, we develop the a posteriori error estimation of hp-version interior penalty
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
Viscous shock capturing in a time-explicit discontinuous Galerkin method
A Klöckner, T Warburton… - Mathematical Modelling of …, 2011 - cambridge.org
We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG)
methods. The output of this detector is a reliably scaled, element-wise smoothness estimate …
methods. The output of this detector is a reliably scaled, element-wise smoothness estimate …
An introductory review on a posteriori error estimation in finite element computations
L Chamoin, F Legoll - SIAM Review, 2023 - SIAM
This article is a review of basic concepts and tools devoted to a posteriori error estimation for
problems solved with the finite element method. For the sake of simplicity and clarity, we …
problems solved with the finite element method. For the sake of simplicity and clarity, we …
[图书][B] Finite and boundary element tearing and interconnecting solvers for multiscale problems
C Pechstein - 2012 - books.google.com
Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the
most successful domain decomposition solvers for partial differential equations. The …
most successful domain decomposition solvers for partial differential equations. The …
A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier–Stokes equations
KJ Fidkowski, DL Darmofal - Journal of Computational Physics, 2007 - Elsevier
This paper presents a mesh adaptation method for higher-order (p> 1) discontinuous
Galerkin (DG) discretizations of the two-dimensional, compressible Navier–Stokes …
Galerkin (DG) discretizations of the two-dimensional, compressible Navier–Stokes …
Adjoint-based h–p adaptive discontinuous Galerkin methods for the 2D compressible Euler equations
L Wang, DJ Mavriplis - Journal of Computational Physics, 2009 - Elsevier
In this paper, we investigate and present an adaptive Discontinuous Galerkin algorithm
driven by an adjoint-based error estimation technique for the inviscid compressible Euler …
driven by an adjoint-based error estimation technique for the inviscid compressible Euler …