Exact Bounds for Linear Outputs of the Advection-Diffusion-Reaction Equation Using Flux-Free Error Estimates
نویسندگان
چکیده
منابع مشابه
Exact Bounds for Linear Outputs of the Advection-Diffusion-Reaction Equation Using Flux-Free Error Estimates
The paper introduces a methodology to compute strict upper and lower bounds for linear-functional outputs of the exact solutions of the advection-reaction-diffusion equation. The proposed approach is an alternative to the standard residual type estimators (hybrid-flux), circumventing the need of flux-equilibration following a fluxfree error estimation strategy. The presented estimator provides ...
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The Flux-free approach is a promising alternative to standard implicit residual time error estimators that require the equilibration of hybrid fluxes. The idea is to solve local error problems in patches of elements surrounding one node (also known as stars) instead of in single elements [1]. The resulting local problems are flux-free, that is the boundary conditions are natural and hence their...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2009
ISSN: 1064-8275,1095-7197
DOI: 10.1137/080724356