Licentiate thesis 2001-014

Fourth Order Symmetric Finite Difference Schemes for the Wave Equation

Abraham Zemui

December 2001

The solution of the acoustic wave equation in one space dimension is studied. The PDE is discretized using finite element approximation. A cubic piecewise Lagrange polynomial is used as basis. Consistent finite element and lumped mass schemes are obtained. These schemes are interpreted as finite difference schemes. Error analysis is given for these finite differences (only for constant coefficients).

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