[图书][B] Finite elements I: Approximation and interpolation
A Ern, JL Guermond - 2021 - books.google.com
This book is the first volume of a three-part textbook suitable for graduate coursework,
professional engineering and academic research. It is also appropriate for graduate flipped …
professional engineering and academic research. It is also appropriate for graduate flipped …
[图书][B] Finite elements II
A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …
impact of computer technology, the growing importance of computer modelling and the …
[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 …
[图书][B] Robust numerical methods for singularly perturbed differential equations
HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …
century, when approximate solutions were constructed from asymptotic expansions …
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 new error analysis for discontinuous finite element methods for linear elliptic problems
T Gudi - Mathematics of Computation, 2010 - ams.org
The standard a priori error analysis of discontinuous Galerkin methods requires additional
regularity on the solution of the elliptic boundary value problem in order to justify the …
regularity on the solution of the elliptic boundary value problem in order to justify the …
A hybrid mixed discontinuous Galerkin finite-element method for convection–diffusion problems
H Egger, J Schöberl - IMA Journal of Numerical Analysis, 2010 - academic.oup.com
We propose and analyse a new finite-element method for convection–diffusion problems
based on the combination of a mixed method for the elliptic and a discontinuous Galerkin …
based on the combination of a mixed method for the elliptic and a discontinuous Galerkin …
Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations
Discontinuous Galerkin (DG) finite element methods were studied by many researchers for
second-order elliptic partial differential equations, and a priori error estimates were …
second-order elliptic partial differential equations, and a priori error estimates were …
Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method
A Bonito, RH Nochetto - SIAM Journal on Numerical Analysis, 2010 - SIAM
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric
second order linear elliptic operators. The method is formulated on nonconforming meshes …
second order linear elliptic operators. The method is formulated on nonconforming meshes …
[HTML][HTML] Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems
A Ern, AF Stephansen, M Vohralík - Journal of computational and applied …, 2010 - Elsevier
We propose and study a posteriori error estimates for convection–diffusion–reaction
problems with inhomogeneous and anisotropic diffusion approximated by weighted interior …
problems with inhomogeneous and anisotropic diffusion approximated by weighted interior …