output
19992026
most citedA triple star system with a misaligned and warped circumstellar disk shaped by disk tearing

109 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.NAShow all

9 papers · 1 filter

math.NA2023★ 6 cited

Discontinuous Galerkin Methods for an Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints

Sijing Liu, Zhiyu Tan, Yi Zhang

We investigate discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints on general polygonal domains. We…

math.NA2019★ 4 cited

A Narrow-stencil finite difference method for approximating viscosity solutions of fully nonlinear elliptic partial differential equations with applications to Hamilton-Jacobi-Bellman equations

Xiaobing Feng, Thomas Lewis

This paper presents a new narrow-stencil finite difference method for approximating the viscosity solution of second order fully nonlinear elliptic partial differential equations i…

math.NA2019

Fully Discrete Mixed Finite Element Methods for the Stochastic Cahn-Hilliard Equation with Gradient-type Multiplicative Noise

Xiaobing Feng, Yukun Li, Yi Zhang

This paper develops and analyzes some fully discrete mixed finite element methods for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise that is white in…

math.NA2018★ 6 cited

Strong convergence of a fully discrete finite element method for a class of semilinear stochastic partial differential equations with multiplicative noise

Xiaobing Feng, Yukun Li, Yi Zhang

This paper develops and analyzes a fully discrete finite element method for a class of semilinear stochastic partial differential equations (SPDEs) with multiplicative noise. The n…

math.NA2018★ 1 cited

Analysis of adaptive two-grid finite element algorithms for linear and nonlinear problems

Yukun Li, Yi Zhang

This paper proposes some efficient and accurate adaptive two-grid (ATG) finite element algorithms for linear and nonlinear partial differential equations (PDEs). The main idea of t…

math.NA2018★ 1 cited

Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions

Xiaobing Feng, Thomas Lewis

This paper is concerned with developing accurate and efficient numerical methods for fully nonlinear second order elliptic and parabolic partial differential equations (PDEs) in mu…

math.NA2018

Analysis of the Vanishing Moment Method and its Finite Element Approximations for Second-order Linear Elliptic PDEs in Non-divergence Form

Xiaobing Feng, Thomas Lewis, Stefan Schnake

This paper is concerned with continuous and discrete approximations of strong solutions of second-order linear elliptic partial differential equations (PDEs) in non-diver…

math.NA2013★ 2 cited

Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations

Xiaobing Feng, Thomas Lewis, Michael Neilan

This paper develops a discontinuous Galerkin (DG) finite element differential calculus theory for approximating weak derivatives of Sobolev functions and piecewise Sobolev function…

math.NA2012★ 1 cited

Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations

Xiaobing Feng, Thomas Lewis

This paper is concerned with developing accurate and efficient discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic partial differential equations…