The time-stepping discontinuous Galerkin method for fractional diffusion-wave problems is shown to achieve nearly optimal O(ln(T/τ)(sqrt(ln(1/h)) h^2 + τ)) accuracy even with nonsmooth data.
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Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equation with nonsmooth data
The time-stepping discontinuous Galerkin method for fractional diffusion-wave problems is shown to achieve nearly optimal O(ln(T/τ)(sqrt(ln(1/h)) h^2 + τ)) accuracy even with nonsmooth data.