149 citations · 617 across the 22 of their papers we have counts for
3 papers · 1 filter
Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem
Markos A. Katsoulakis, Georgios T. Kossioris, Omar Lakkis
We address the numerical discretization of the Allen-Cahn prob- lem with additive white noise in one-dimensional space. The discretization is conducted in two stages: (1) regulariz…
Implicit-explicit timestepping with finite element approximation of reaction-diffusion systems on evolving domains
Omar Lakkis, Anotida Madzvamuse, Chandrasekhar Venkataraman
We present and analyse an implicit-explicit timestepping procedure with finite element spatial approximation for a semilinear reaction-diffusion systems on evolving domains arising…
A finite element method for fully nonlinear elliptic problems
Omar Lakkis, Tristan Pryer
We present a continuous finite element method for some examples of fully nonlinear elliptic equation. A key tool is the discretisation proposed in Lakkis & Pryer (2011, SISC) allow…