149 citations · 617 across the 22 of their papers we have counts for
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Global existence for semilinear reaction-diffusion systems on evolving domains
Chandrasekhar Venkataraman, Omar Lakkis, Anotida Madzvamuse
We present global existence results for solutions of reaction-diffusion systems on evolving domains. Global existence results for a class of reaction-diffusion systems on fixed dom…
A posteriori -error bounds in finite element approximation of the wave equation
Emmanuil H. Georgoulis, Omar Lakkis, Charalambos Makridakis
We address the error control of Galerkin discretization (in space) of linear second order hyperbolic problems. More specifically, we derive a posteriori error bounds in the L\infty…
A finite element method for second order nonvariational elliptic problems
Omar Lakkis, Tristan Pryer
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements…
Rate of convergence for a Galerkin scheme approximating a two-scale reaction-diffusion system with nonlinear transmission condition
Adrian Muntean, Omar Lakkis
We study a two-scale reaction-diffusion system with nonlinear reaction terms and a nonlinear transmission condition (remotely ressembling Henry's law) posed at air-liquid interface…