The effect of stabilization in finite element methods for the optimal boundary control of the Oseen equations

By Feby Abraham, M. Behr, Matthias Heinkenschloss. 2004

51 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/76ca128a33abff0cda9ab05de50ddc34c98e4693

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Samy Wu Fung
2. Derek Onken
3. Lars Ruthotto
4. Julius Martensen
5. K. Zubov
6. Collin Warner
7. B. V. B. Waanders
8. Dominic J. Skinner

In Electrical and Electronic Engineering

1. Samy Wu Fung
2. Derek Onken
3. Lars Ruthotto
4. B. V. B. Waanders
5. Roscoe A. Bartlett
6. Matthias Heinkenschloss
7. Denis Ridzal

In Mechanics of Materials

1. Samy Wu Fung
2. Derek Onken
3. Lars Ruthotto
4. B. V. B. Waanders

Citations in the corpus

• Domain decomposition methods for advection dominated linear-quadratic elliptic optimal control problems (2005, background): “The papers [1,24] show that for linear finite elements and suitable choice of the stabilization parameter, these differences are small.”
• OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal Transport (2020, methodology): “References [1] Feby Abraham, Marek Behr, and Matthias Heinkenschloss.”
• Universal Differential Equations for Scientific Machine Learning (2020, background): “Previous research has shown that the discrete adjoint approach is more stable than continuous adjoints in some cases [41, 37, 42, 43, 44, 45] while continuous adjoints have been demonstrated to be more stable in others [46, 43] and can reduce spurious oscillations [47, 48, 49].”