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 …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

In this paper, we develop the a posteriori error estimation of hp-version interior penalty
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …

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 …

We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …

Nondivergence form elliptic equations with discontinuous coefficients do not generally
possess a weak formulation, thus presenting an obstacle to their numerical solution by …

Residual-based a posteriori error estimates were derived within one unifying framework for
lowest-order conforming, nonconforming, and mixed finite element schemes in Carstensen …

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) …

A robust a-posteriori error estimator for interior penalty discontinuous Galerkin
discretizations of a stationary convection–diffusion equation is derived. The estimator yields …

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 …