Convergent numerical schemes for the compressible hyperelastic-rod wave equation


We propose a fully discretised numerical scheme for the hyperelastic rod wave equation on the line. The convergence of the method is established. Moreover, the scheme can handle the blow-up of the derivative which naturally occurs for this equation. By using a time splitting integrator which preserves the invariants of the problem, we can also show that the scheme preserves the positivity of the energy density

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oaioai:edoc.unibas.ch:47283Last time updated on 4/10/2018

This paper was published in edoc.

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