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Section 5.2: Grid refinement for the nonlinear PDE.

Section 5.2: Grid refinement for the nonlinear PDE.

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Figure 4: Section 5.1: Grid refinement with regional mean value goal...
Figure 6: Section 5.1: Grid refinement with mean squared value goal...
Figure 8: Section 5.2: Grid refinement for the nonlinear PDE.
Neural network guided adjoint computations in dual weighted residual error estimation
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  • Feb 2021
In this work, we are concerned with neural network guided goal-oriented a posteriori error estimation and adaptivity using the dual weighted residual method. The primal problem is solved using classical Galerkin finite elements. The adjoint problem is solved in strong form with a feedforward neural network using two or three hidden layers. The main...
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