[BOOK][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 …

[BOOK][B] A posteriori estimates for partial differential equations

S Repin - 2008 - degruyter.com
Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

A multiscale mortar mixed finite element method

T Arbogast, G Pencheva, MF Wheeler, I Yotov - Multiscale Modeling & …, 2007 - SIAM
We develop multiscale mortar mixed finite element discretizations for second order elliptic
equations. The continuity of flux is imposed via a mortar finite element space on a coarse …

A review of unified a posteriori finite element error control

C Carstensen, M Eigel, RHW Hoppe… - … : Theory, Methods and …, 2012 - cambridge.org
This paper aims at a general guideline to obtain a posteriori error estimates for the finite
element error control in computational partial differential equations. In the abstract setting of …

Residual based a posteriori error estimators for eddy current computation

R Beck, R Hiptmair, RHW Hoppe… - … Modelling and Numerical …, 2000 - cambridge.org
We consider H (curl; Ω)-elliptic problems that have been discretized by means of Nédélec's
edge elements on tetrahedral meshes. Such problems occur in the numerical computation of …

A posteriori error estimates for lowest-order mixed finite element discretizations of convection-diffusion-reaction equations

M Vohralík - SIAM Journal on Numerical Analysis, 2007 - SIAM
We establish residual a posteriori error estimates for lowest-order Raviart–Thomas mixed
finite element discretizations of convection-diffusion-reaction equations on simplicial …

[BOOK][B] Preconditioning and the conjugate gradient method in the context of solving PDEs

J Málek, Z Strakoš - 2014 - SIAM
Our times can be characterized by, among many other attributes, the seemingly increasing
speed of everything. Within science, it has led to the publication explosion, which reflects the …

A posteriori error estimates including algebraic error and stop** criteria for iterative solvers

P Jiránek, Z Strakoš, M Vohralík - SIAM Journal on Scientific Computing, 2010 - SIAM
For the finite volume discretization of a second-order elliptic model problem, we derive a
posteriori error estimates which take into account an inexact solution of the associated linear …

A residual-based a posteriori error estimator for the Stokes–Darcy coupled problem

I Babuška, GN Gatica - SIAM Journal on Numerical Analysis, 2010 - SIAM
In this paper we develop an a posteriori error analysis of a new conforming mixed finite
element method for the coupling of fluid flow with porous media flow. The flows are …

A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem

GN Gatica, R Oyarzúa, FJ Sayas - Computer Methods in Applied Mechanics …, 2011 - Elsevier
In this paper we develop an a posteriori error analysis of a new fully mixed finite element
method for the coupling of fluid flow with porous media flow in 2D. Flows are governed by …