In this paper, we investigate the use of a mass lumped fully explicit timestepping scheme for the discretisation of the wave equation with underlying material parameters that vary at arbitrarily fine scales . We prove that the methodverges with second order in the energy norm, with a leading constant that does not depend on the scales at which the material parameters vary . We also prove the method converges with the methodconverges . with the leading constant . that is not dependent on the scale of the materials that the parameters vary at . which scales . at which they vary, we also demonstrate the performance of the mass lumping method in a set of numerical experiments .

Author(s) : Sjoerd Geevers, Roland Maier

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Keywords : vary - mass - scales - parameters - constant -

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