2 citations · 4 across the 4 of their papers we have counts for
5 papers
-norm error estimate for a nonstandard finite element approximation of second-order linear elliptic PDEs in non-divergence form
Xiaobing Feng, Stefan Schnake
This paper establishes the optimal -norm error estimate for a nonstandard finite element method for approximating strong solutions of second order linear elliptic PDEs i…
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…
A Discontinuous Ritz Method for a Class of Calculus of Variations Problems
Xiaobing Feng, Stefan Schnake
This paper develops an analogue (or counterpart) to discontinuous Galerkin (DG) methods for approximating a general class of calculus of variations problems. The proposed method, c…
An enhanced finite element method for a class of variational problems exhibiting the Lavrentiev gap phenomenon
Xiaobing Feng, Stefan Schnake
This paper develops an enhanced finite element method for approximating a class of variational problems which exhibit the \textit{Lavrentiev gap phenomenon} in the sense that the m…
Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-Divergence Form Elliptic PDEs
Xiaobing Feng, Michael Neilan, Stefan Schnake
This paper develops interior penalty discontinuous Galerkin (IP-DG) methods to approximate strong solutions of second order linear elliptic partial differential equations…