Convergence of Exponential Attractors for a Finite Element Approximation of the Allen–Cahn Equation
Convergence of Exponential Attractors for a Finite Element Approximation of the Allen–Cahn Equation
We consider a space semidiscretization of the Allen–Cahn equation by continuous piecewise linear finite elements. For every mesh parameter h, we build an exponential attractor of the dynamical system associated with the approximate equations. We prove that, as h tends to 0, this attractor converges for the symmetric Hausdorff distance …