Michael Neilan

1. Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method
   2009/01/01 by Xiaobing Feng, Michael Neilan · 12 citations
   Mathematics · Engineering · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Numerical Methods in Computational Mathematics
2. 𝒞⁰ penalty methods for the fully nonlinear Monge-Ampère equation
   2011/03/09 by Susanne C. Brenner, Susanne Brenner, Thirupathi Gudi +2 · 9 citations
   Mathematics · #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows
3. Exact sequences on Powell-Sabin splits
   2019/04/10 by Johnny Guzmán, Anna Lischke, Guzman, J. +3 · 3 citations
   Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Geometric and Algebraic Topology #Numerical Analysis (math.NA)
4. Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-Divergence Form Elliptic PDEs
   2016/05/14 by Xiaobing Feng, Michael Neilan, Feng, Xiaobing +3 · 2 citations
   Engineering · Computer Science · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods
5. C⁰ discontinuous Galerkin finite element methods for second order linear elliptic partial differential equations in non-divergence form
   2015/05/12 by Xiaobing Feng, Feng, Xiaobing, Lauren Hennings +3 · 1 citation
   Computer Science · Engineering · #65M60 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
6. Numerical analysis of strongly nonlinear PDEs
   2016/10/25 by Michael Neilan, Neilan, Michael, Abner J. Salgado +3 · 1 citation
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
7. Exact sequences on Worsey-Farin Splits
   2020/08/12 by Johnny Guzmán, Guzman, Johnny, Anna Lischke +3 · 1 citation
   Engineering · Mathematics · #Advanced Banach Space Theory #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA)
8. A C⁰ interior penalty method for the stream function formulation of\n the surface Stokes problem
   2024/12/12 by Michael Neilan, Neilan, Michael, Haiyan Wan +1 · 2 citations
   Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics Simulations and Interactions
9. The Vanishing Moment Method for Fully Nonlinear Second Order Partial Differential Equations: Formulation, Theory, and Numerical Analysis
   2011/09/06 by Xiaobing Feng, Feng, Xiaobing, Michael Neilan +1 · 1 citation
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)