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An error indicator is developed to monitor the propagation of the nonlinear zone during analysis.
The construction of the monitor function based on the error indicator is discussed.
This model adapts the computational grid at every time step according to a physical error indicator.
A residual-based error estimator is used as local error indicator during the h-adaptive procedures.
Statistical error indicator methods are used to verify the accuracy of the Climate Surface Method.
Figure 1 Performance of error indicator η with (pmb{M=N}), (pmb{alpha=0.6}).
In this paper, we derive an a-posteriori error indicator for the Generalized Multiscale Finite Element Method (GMsFEM) framework.
The centroid error indicator detects not only high curvature regions but also regions with complicated subcell structures like filaments.
The refinement and coarsening criteria are based on an error indicator which has already been justified theoretically for simpler problems.
An r-adaptive finite-element method based on moving-mesh partial differential equations (PDEs) and an error indicator is presented.
Since both solutions are obtained from just one analysis, the computational cost of the proposed error indicator is very low.
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