Abstract
The mixed covolume method is analyzed for a damped Sine-Gordon equation on triangular grids.Semi-discrete and fully-discrete mixed covolume schemes are constructed by using the lowest order Raviart-Thomas mixed finite element space and introducing a transfer operator γ_h which maps the trial function space into the test function space.According to the characteristics of the damped Sine-Gordon equation,the generalized mixed covolume projection is introduced,then optimal error estimates are derived by using the properties of the transfer operator and generalized mixed covolume projection.Finally,a numerical example is given to confirm the theoretical results.
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