A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS

被引：2
|
作者：
Bernardi, Christine [1 ,2 ]
Hecht, Frederic [1 ,2 ]
Verfuerth, Ruediger [3 ]
机构：
[1] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
[2] Univ Paris 06, F-75252 Paris 05, France
[3] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷 / 06期
关键词：
A posteriori error estimates; method of characteristics; non-stationary diffusion-convection-reaction equations; robustness; CONVECTION-DIFFUSION EQUATIONS; FINITE-ELEMENT METHODS; NAVIER-STOKES EQUATIONS; PARABOLIC EQUATIONS; NONLINEAR PROBLEMS; NUMERICAL-ANALYSIS; POROUS-MEDIA; TRANSPORT; DISCRETIZATIONS; SCHEME;
D O I：
10.1142/S0218202511005337
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a two- or three-dimensional time-dependent diffusion-convection-reaction problem and its discretization by the method of characteristics and standard finite elements. We perform the a posteriori error analysis of this discretization and prove optimal error estimates, which lead to an efficient adaptivity strategy both for the time step and the spatial mesh. The estimates are robust with respect to the ratios of the diffusion to the reaction or convection. Some numerical experiments support the theoretical results.
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页码：1355 / 1376
页数：22
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