2011-09-20Buch DOI: 10.18452/2813
Iterative operator-splitting methods for Time-irreversible Systems
Theory and Application to Advection-Diffusion Equations
In this paper, we deduce higher order error bounds for iterative operator splitting methods for time-irreversible systems of linear advection-diffusion equations. involving time-irreversible diffusion and a reversible advection part. We apply our analysis to bounded our advection operator with the diffusion operator (A-boundedness). We deduce a global error estimates which implies that any time-irreversible time-splitting methods retains its classical convergence of linear advection-diffusion equations, under some assumptions to the exact solution. Numerical results illustrate our theoretical results.
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