27 citations · 111 across the 33 of their papers we have counts for
3 papers · 2 filters
Numerical analysis of strongly nonlinear PDEs
Michael Neilan, Abner J. Salgado, Wujun Zhang
We review the construction and analysis of numerical methods for strongly nonlinear PDEs, with an emphasis on convex and nonconvex fully nonlinear equations and the convergence to…
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…
Stable discontinuous Galerkin FEM without penalty parameters
Lorenz John, Michael Neilan, Iain Smears
We propose a modified local discontinuous Galerkin (LDG) method for second--order elliptic problems that does not require extrinsic penalization to ensure stability. Stability is i…