11 citations · 15 across the 13 of their papers we have counts for
16 papers
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…
Numerical Approximation of Gaussian random fields on Closed Surfaces
Andrea Bonito, Diane Guignard, Wenyu Lei
We consider the numerical approximation of Gaussian random fields on closed surfaces defined as the solution to a fractional stochastic partial differential equation (SPDE) with ad…
A weighted Hybridizable Discontinuous Galerkin method for drift-diffusion problems
Wenyu Lei, Stefano Piani, Patricio Farrell +2
In this work we propose a weighted hybridizable discontinuous Galerkin method (W-HDG) for drift-diffusion problems. By using specific exponential weights when computing the p…
Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors
Stefano Piani, Patricio Farrell, Wenyu Lei +2
The non-destructive estimation of doping concentrations in semiconductor devices is of paramount importance for many applications ranging from crystal growth, the recent redefiniti…
Numerical modeling of anisotropic ferroelectric materials with hybridizable discontinuous Galerkin methods
Wenyu Lei
We investigate a gradient flow structure of the Ginzburg--Landau--Devonshire (GLD) model for anisotropic ferroelectric materials by reconstructing its energy form. We show that the…
Adaptive finite element approximations for elliptic problems using regularized forcing data
Luca Heltai, Wenyu Lei
We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollif…
Approximation of the spectral fractional powers of the Laplace-Beltrami Operator
Andrea Bonito, Wenyu Lei
We consider numerical approximations of spectral fractional Laplace-Beltrami problems on closed surfaces. The proposed numerical algorithms rely on their Balakrishnan integral repr…
A priori error estimates of regularized elliptic problems
Luca Heltai, Wenyu Lei
Approximations of the Dirac delta distribution are commonly used to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. In this w…
Finite element approximation of an obstacle problem for a class of integro-differential operators
Andrea Bonito, Wenyu Lei, Abner J. Salgado
We study the regularity of the solution to an obstacle problem for a class of integro-differential operators. The differential part is a second order elliptic operator, whereas the…
On Sinc Quadrature Approximations of Fractional Powers of Regularly Accretive Operators
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We consider the finite element approximation of fractional powers of regularly accretive operators via the Dunford-Taylor integral approach. We use a sinc quadrature scheme to appr…
Numerical Approximation of the Integral Fractional Laplacian
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral represen…
Numerical Approximation of Space-time Fractional Parabolic Equations
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
In this paper, we develop a numerical scheme for the space-time fractional parabolic equation, i.e., an equation involving a fractional time derivative and a fractional spatial ope…
The Approximation of Parabolic Equations Involving Fractional Powers of Elliptic Operators
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We study the numerical approximation of a time dependent equation involving fractional powers of an elliptic operator defined to be the unbounded operator associated with a Her…