[图书][B] Mixed finite element methods and applications
D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …
went out of print and we were asked to allow a second printing. The world had evolved and …
[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 …
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 …
A posteriori error control for DPG methods
A combination of ideas in least-squares finite element methods with those of hybridized
methods recently led to discontinuous Petrov--Galerkin (DPG) finite element methods. They …
methods recently led to discontinuous Petrov--Galerkin (DPG) finite element methods. They …
Discontinuous Galerkin finite element approximation of Hamilton--Jacobi--Bellman equations with Cordes coefficients
We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …
Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordes coefficients
Nondivergence form elliptic equations with discontinuous coefficients do not generally
possess a weak formulation, thus presenting an obstacle to their numerical solution by …
possess a weak formulation, thus presenting an obstacle to their numerical solution by …
A unifying theory of a posteriori error control for nonconforming finite element methods
C Carstensen, J Hu - Numerische Mathematik, 2007 - Springer
Residual-based a posteriori error estimates were derived within one unifying framework for
lowest-order conforming, nonconforming, and mixed finite element schemes in Carstensen …
lowest-order conforming, nonconforming, and mixed finite element schemes in Carstensen …
A unified framework for a posteriori error estimation for the Stokes problem
A Hannukainen, R Stenberg, M Vohralík - Numerische Mathematik, 2012 - Springer
In this paper, a unified framework for a posteriori error estimation for the Stokes problem is
developed. It is based on H^ 1_0 (Ω)^ d-conforming velocity reconstruction and H (div, Ω) …
developed. It is based on H^ 1_0 (Ω)^ d-conforming velocity reconstruction and H (div, Ω) …
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection–diffusion equations
D Schötzau, L Zhu - Applied numerical mathematics, 2009 - Elsevier
A robust a-posteriori error estimator for interior penalty discontinuous Galerkin
discretizations of a stationary convection–diffusion equation is derived. The estimator yields …
discretizations of a stationary convection–diffusion equation is derived. The estimator yields …
H (div)-conforming finite elements for the Brinkman problem
J Könnö, R Stenberg - … Models and Methods in Applied Sciences, 2011 - World Scientific
The Brinkman equations describe the flow of a viscous fluid in a porous matrix.
Mathematically the Brinkman model is a parameter-dependent combination of both the …
Mathematically the Brinkman model is a parameter-dependent combination of both the …