Unified analysis of discontinuous Galerkin methods for elliptic problems
We provide a framework for the analysis of a large class of discontinuous methods for
second-order elliptic problems. It allows for the understanding and comparison of most of the …
second-order elliptic problems. It allows for the understanding and comparison of most of the …
[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] Domain decomposition methods-algorithms and theory
A Toselli, O Widlund - 2006 - books.google.com
This book offers a comprehensive presentation of some of the most successful and popular
domain decomposition preconditioners for finite and spectral element approximations of …
domain decomposition preconditioners for finite and spectral element approximations of …
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 …
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems
OA Karakashian, F Pascal - SIAM Journal on Numerical Analysis, 2003 - SIAM
Several a posteriori error estimators are introduced and analyzed for a discontinuous
Galerkin formulation of a model second-order elliptic problem. In addition to residual-type …
Galerkin formulation of a model second-order elliptic problem. In addition to residual-type …
[图书][B] Domain decomposition methods for the numerical solution of partial differential equations
TPA Mathew - 2008 - Springer
These notes serve as an introduction to a subject of study in computational mathematics
referred to as domain decomposition methods. It concerns divide and conquer methods for …
referred to as domain decomposition methods. It concerns divide and conquer methods for …
An explicit expression for the penalty parameter of the interior penalty method
K Shahbazi - Journal of Computational Physics, 2005 - Elsevier
An explicit expression for the penalty parameter of the interior penalty method -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
Discontinuous Galerkin methods for the Helmholtz equation with large wave number
X Feng, H Wu - SIAM Journal on Numerical Analysis, 2009 - SIAM
This paper develops and analyzes some interior penalty discontinuous Galerkin (IPDG)
methods using piecewise linear polynomials for the Helmholtz equation with the first order …
methods using piecewise linear polynomials for the Helmholtz equation with the first order …
A multilevel discontinuous Galerkin method
J Gopalakrishnan, G Kanschat - Numerische Mathematik, 2003 - Springer
A variable V-cycle preconditioner for an interior penalty finite element discretization for
elliptic problems is presented. An analysis under a mild regularity assumption shows that the …
elliptic problems is presented. An analysis under a mild regularity assumption shows that the …
Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers
Agglomeration-based strategies are important both within adaptive refinement algorithms
and to construct scalable multilevel algebraic solvers. In order to automatically perform …
and to construct scalable multilevel algebraic solvers. In order to automatically perform …