149 citations · 617 across the 22 of their papers we have counts for
Showing 2010 · math.NAShow all
3 papers · 2 filters
math.NA2010★ 36 cited
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…
math.NA2010★ 43 cited
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…
math.NA2010★ 3 cited
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…