Abstract
In this paper an Approximate Waves-Bordering algorithm (AWB) is presented. It computes the finite elements linear system solution-update after a refinement/unrefinement step. This is done taking into consideration only the equations that correspond to the nodes whose solution is modified above a certain tolerance and it appears to be very efficient. The algorithm considers an increasing set of equations that updates recursively and stops when the norm of the residual has gone under a user-defined threshold.
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Morandi Cecchi, M., Marcuzzi, F. An approximate waves-bordering algorithm for adaptive finite elements analysis. Numerical Algorithms 21, 311–322 (1999). https://doi.org/10.1023/A:1019101228064
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DOI: https://doi.org/10.1023/A:1019101228064