A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations
作者： Jehanzeb H. Chaudhry , Donald Estep , Victor Ginting , John N. Shadid , Simon Tavener
DOI: 10.1016/J.CMA.2014.11.015
关键词:
摘要: Abstract Implicit–Explicit (IMEX) schemes are an important and widely used class of time integration methods for both parabolic hyperbolic partial differential equations. We develop accurate a posteriori error estimates user-defined quantity interest two classes multi-step IMEX advection–diffusion–reaction problems. The analysis proceeds by recasting the into variational form suitable employing adjoint problems computable residuals. quantify distinct contributions from various aspects spatial temporal discretizations, can be to evaluate discretization choices. Numerical results presented that demonstrate accuracy representative set
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