An adaptive SUPG method for evolutionary convection–diffusion equations
作者： Javier de Frutos , Bosco García-Archilla , Volker John , Julia Novo
DOI: 10.1016/J.CMA.2014.01.022
关键词: Mathematics 、 Applied mathematics 、 Numerical analysis 、 Mathematical optimization 、 Residual 、 Computer simulation 、 Norm (mathematics) 、 Convection–diffusion equation 、 Adaptive algorithm 、 Heuristic argument 、 Estimator
摘要: Abstract An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The allows use natural extension any error estimator steady-state problem controlling local refinement coarsening. main idea consists in considering SUPG solution evolutionary as a particular convection–diffusion with data depending on computed solution. application is based heuristic argument by certain term to higher order. This supported one-dimensional case analysis. In studies, particularly residual-based from [18] applied, which has proved robust norm. effectivity this studied results (accuracy solution, fineness meshes) compared obtained utilizing [5] .
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