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 …
[图书][B] Nodal discontinuous Galerkin methods: algorithms, analysis, and applications
JS Hesthaven, T Warburton - 2007 - books.google.com
Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …
[图书][B] Higher-order finite element methods
P Solin, K Segeth, I Dolezel - 2003 - taylorfrancis.com
The finite element method has always been a mainstay for solving engineering problems
numerically. The most recent developments in the field clearly indicate that its future lies in …
numerically. The most recent developments in the field clearly indicate that its future lies in …
[图书][B] Computing with hp-adaptive finite elements: volume 1 one and two dimensional elliptic and Maxwell problems
L Demkowicz - 2006 - taylorfrancis.com
Offering the only existing finite element (FE) codes for Maxwell equations that support hp
refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS …
refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS …
Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
We give an overview of recent developments concerning the use of adjoint methods in two
areas: the a posteriori error analysis of finite element methods for the numerical solution of …
areas: the a posteriori error analysis of finite element methods for the numerical solution of …
Discontinuous galerkin methods
B Cockburn - ZAMM‐Journal of Applied Mathematics and …, 2003 - Wiley Online Library
This paper is a short essay on discontinuous Galerkin methods intended for a very wide
audience. We present the discontinuous Galerkin methods and describe and discuss their …
audience. We present the discontinuous Galerkin methods and describe and discuss their …
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations
R Hartmann, P Houston - Journal of Computational Physics, 2002 - Elsevier
In this paper a recently developed approach for the design of adaptive discontinuous
Galerkin finite element methods is applied to physically relevant problems arising in inviscid …
Galerkin finite element methods is applied to physically relevant problems arising in inviscid …
Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows
DA Venditti, DL Darmofal - Journal of Computational Physics, 2003 - Elsevier
An anisotropic, unstructured grid adaptive method is presented for improving the accuracy of
functional outputs of viscous, compressible flow simulations for general discretizations. The …
functional outputs of viscous, compressible flow simulations for general discretizations. The …
Space–time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting
In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG)
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …
An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping and p-adaptivity
This article describes the extension of the arbitrary high-order Discontinuous Galerkin
(ADER-DG) method to treat locally varying polynomial degress of the basis functions, so …
(ADER-DG) method to treat locally varying polynomial degress of the basis functions, so …