A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods

This paper presents an error estimator for partition of unity enriched finite element methods such as the extended finite element method (XFEM) based on derivative recovery

A higher-order discontinuous Galerkin spectral element method (DGSEM) for solv- ing the magnetohydrodynamics equations in two-dimensional domains is presented. A novel hybrid

Generalized multiscale finite element methods (GMsFEM).. Theory and practice of finite elements, volume 159 of Applied Mathematical Sciences. Element diameter free stability

Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations. Elliptic reconstruction and a posteriori error estimates for parabolic

Key words: linear diffusion problems, discontinuous Galerkin method, a posteriori estimate, flux recon- struction, distribution of the error, error components, stopping

A posteriori error estimator based on gradient recovery by av- eraging for convection-diffusion-reaction problems approximated by discontinuous Galerkin meth- ods... A posteriori

Anisotropic a posteriori error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem... mixed discontinuous Galerkin approximation of the

Taken together, our results demonstrate that Drosophila micro- biota has a marked impact on the expression of genes mainly involved in digestive functions and primary