14 citations · 56 across the 19 of their papers we have counts for
22 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…
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…
A comparison of non-matching techniques for the finite element approximation of interface problems
Daniele Boffi, Andrea Cangiani, Marco Feder +2
We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibl…
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
We present a new residual-type energy-norm a posteriori error analysis for interior penalty discontinuous Galerkin (dG) methods for linear elliptic problems. The new error bounds a…
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods
Andrea Cangiani, Emmanuil H. Georgoulis, Oliver J. Sutton
We present a posteriori error estimates for inconsistent and non-hierarchical Galerkin methods for linear parabolic problems, allowing them to be used in conjunction with very gene…