4 papers · 1 filter
High-order complete flux schemes for convection-diffusion equations on arbitrary subdivisions
Wenyu Lei, Liwei Xu, Peng Yang
We develop a novel complete flux finite volume method for convection-diffusion equations on arbitrary subdivisions in two and three dimensions. Unlike standard finite volume discre…
Whittle-Matérn Fields with Variable Smoothness
Hamza Ruzayqat, Wenyu Lei, David Bolin +2
We introduce and analyze a nonlocal generalization of Whittle--Matérn Gaussian fields in which the smoothness parameter varies in space through the fractional order, $s=s(x)\in[\un…
Finite element discretizations for variable-order fractional diffusion problems
Wenyu Lei, George Turkiyyah, Omar Knio
We present a finite element scheme for fractional diffusion problems with varying diffusivity and fractional order. We consider a symmetric integral form of these nonlocal equation…
A Scharfetter-Gummerl stabilization scheme for HDG approximations of convection-diffusion problems
Stefano Piani, Luca Heltai, Wenyu Lei
We present a Scharfetter-Gummel (SG) stabilization scheme for high-order Hybrid Discontinuous Galerkin (HDG) approximations of convection-diffusion problems. The scheme is based on…