Suli, Endre and Wilkins, Catherine (2000) A priori analysis for the semidiscrete approximation to the nonlinear damped wave equation. Technical Report. Unspecified. (Submitted)

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Abstract
We study the secondorder nonlinear damped wave equation semidiscretised in space using standard Galerkin finite element methods. Denoting the analytical solution and the corresponding finite element solution to the given problem by and respectively, we derive an optimal error estimate of the form , for , where is a positive constant depending on is the grid parameter, and , where is the degree of the piecewise polynomials in the finite element test space.
Item Type:  Technical Report (Technical Report) 

Subjects:  H  N > Numerical analysis 
Research Groups:  Numerical Analysis Group 
ID Code:  1297 
Deposited By:  Lotti Ekert 
Deposited On:  04 Jun 2011 08:11 
Last Modified:  29 May 2015 18:59 
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