A Priori Analysis for the Semi{discrete Approximation to the Nonlinear Damped Wave Equation

Abstract

We study the second{order nonlinear damped wave equation semi{discretised in space using standard Galerkin nite element methods. Denoting the analytical solution and the corresponding nite element solution to the given problem by u and u h respectively, we derive an optimal L 2 (() error estimate of the form max t20;T] ku (t) u h (t)k C (u) h m ; for (x; t… (More)

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