arXiv subjects

Zhixing Fu

Publications and source records attributed to Zhixing Fu.

2 recordsLinked to original sources

arXiv2013

Matlab tools for HDG in three dimensions

In this paper we provide some Matlab tools for efficient vectorized coding of the Hybridizable Discontinuous Galerkin for linear variable coefficient reaction-diffusion problems in polyhedral domains. The resulting tools are modular and include enhanced structures to deal with convection-diffusion problems, plus several projections and a superconvergent postprocess of the solution. Loops over the elements are exclusively local and, as such, have been parallelized.

math.NA↗

arXiv2012

Coupling of HDG with a double-layer potential BEM

In this paper we propose and analyze a new coupling procedure for the Hybridizable Discontinuous Galerkin Method with Galerkin Boundary Element Methods based on a double layer potential representation of the exterior component of the solution of a transmission problem. We show a discrete uniform coercivity estimate for the non-symmetric bilinear form and prove optimal convergence estimates for all the variables, as well as superconvergence for some of the discrete fields. Some numerical experiments support the theoretical findings.

math.NA↗