4 papers
Conforming Virtual Element Method for Biharmonic Poisson-Nernst-Planck Navier-Stokes systems
Ankur Ankur, Andrea Cangiani
We develop and analyze a conforming Virtual Element Method (VEM) for the fourth-order Poisson-Nernst-Planck-Navier-Stokes (PNP-NS) system. The proposed scheme is based on compatibl…
An posteriori error estimator for discontinuous Galerkin discretisations of convection-diffusion problems with application to Earth's mantle convection simulations
Tiffany Barry, Andrea Cangiani, Samuel P. Cox +1
We present new aposteriori error estimates for the interior penalty discontinuous Galerkin method applied to non-stationary convection-diffusion equations. The focus is on strongly…
-Version space-time discontinuous Galerkin methods for parabolic problems on prismatic meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
We present a new -version space-time discontinuous Galerkin (dG) finite element method for the numerical approximation of parabolic evolution equations on general spatial meshe…
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients
Guillaume Bonnet, Andrea Cangiani, Ricardo H. Nochetto
We propose and analyze an -conforming Virtual Element Method (VEM) for the simplest linear elliptic PDEs in nondivergence form with Cordes coefficients. The VEM hinges on a hi…