Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization

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2021
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Kyburgc, Felix E.
Rojas, Sergio
Caloa, Victor M.
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"We model incompressible Stokes flows with an adaptive stabilized finite element method, which solves a discretely stable saddle-point problem to approximate the velocity-pressure pair. Additionally, this saddle-point problem delivers a robust error estimator to guide mesh adaptivity. We analyze the accuracy of different discrete velocity-pressure pairs of continuous finite element spaces, which do not necessarily satisfy the discrete inf-sup condition. We validate the framework's performance with numerical examples."
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