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A Priori Analysis for the Semi-Discrete Approximation to the Nonlinear Damped Wave Equation (1999)  (Make Corrections)  
Endre Süli, Catherine Wilkins



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Abstract: this paper we will derive an a priori error bound for the second--order nonlinear damped wave equation with given initial and boundary conditions that we will specify in a moment. That is, given a finite element test space V h (which we will define more specifically later), we consider the semi--discrete analogue of (1.1) on V h , namely the problem of finding u h : (0; T ] ! V h such that + (rb (u h ) ; r) = (f; ) 8 2 V h ; (1.2) given initial values for u h and @u h =@t... (Update)

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BibTeX entry:   (Update)

@misc{ li-priori,
  author = "Endre Süli and Catherine Wilkins",
  title = "A Priori Analysis for the Semi-Discrete Approximation to the Nonlinear
    Damped Wave Equation",
  url = "citeseer.ist.psu.edu/685756.html" }
Citations (may not include all citations):
689   The Finite Element Method for Elliptic Problems (context) - Ciarlet - 1978
509   Sobolev Spaces (context) - Adams - 1975
238   The Mathematical Theory of Finite Element Methods (context) - Brenner, Scott - 1994
191   Functional Analysis (context) - Rudin - 1973  ACM
3   Das Rand-Anfangswertproblem fur Quasilineare Wellengleichung.. (context) - Chen, von Wahl - 1982
3   Finite element methods for nonlinear elliptic systems of sec.. (context) - Dobrowolski, Rannacher - 1980
1   Finite element approximations of nonlinear elastic waves (context) - Makridakis - 1993
1   On finite element approximation of general boundary value pr.. (context) - Rannacher - 1980
1   Mathematical Problems of Classical Nonlinear Electromagnetic.. (context) - Bloom - 1993

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