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In this communication we focus on goal-oriented anisotropic adaption techniques. Starting point has been the derivation of suitable anisotropic interpolation error estimates for piecewise linear finite elements, on triangular grids in . Then we have merged these interpolation estimates with the dual-based a posteriori error analysis proposed by R. Rannacher and R. Becker. As examples of this general anisotropic a posteriori analysis, elliptic, advection-diffusion-reaction and the Stokes problems...
This work represents a first step towards the simulation of the
motion of water in a complex hydrodynamic configuration, such as
a channel network or a river delta, by means of a suitable
“combination” of different mathematical
models. In this framework a wide spectrum of space and time scales is involved
due to the presence of physical phenomena of
different nature.
Ideally, moving from a hierarchy of hydrodynamic models, one should solve
throughout the whole domain the most complex model (with...
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