Stability of semidiscrete formulations for parabolic problems at small time steps

By I. Harari. 2004

83 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/14d1e9d518e7d900257cddbb1b634c9430cbc3b2

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. Thomas J. R. Hughes
2. Giancarlo Sangalli
3. Yuri Bazilevs
4. L. Beirão da Veiga
5. J. Cottrell
6. Michael A. Scott
7. Stéphane P.A. Bordas
8. Timon Rabczuk

In Electrical and Electronic Engineering

1. R. Lehoucq
2. Max D. Gunzburger
3. Yuri Bazilevs
4. Thomas J. R. Hughes
5. L. Beirão da Veiga
6. Giancarlo Sangalli
7. J. Cottrell
8. Pavel B. Bochev

In Numerical Analysis

1. Thomas J. R. Hughes
2. Yuri Bazilevs
3. Giancarlo Sangalli
4. R. Lehoucq
5. Max D. Gunzburger
6. Pavel B. Bochev
7. L. Beirão da Veiga
8. J. Cottrell

Citations in the corpus

• On stabilized finite element methods for the Stokes problem in the small time step limit (2007, methodology): “[29] I. Harari.”
• Weak imposition of Dirichlet boundary conditions in fluid mechanics (2007, methodology): “Recent work on stabilized methods is presented in [21, 38, 48, 19, 20, 13, 24, 9, 23, 8, 3, 41].”
• Improving stability of stabilized and multiscale formulations in flow simulations at small time steps (2010, unknown): “In recent works, Harari [14] and Harari and Hauke [15] examined the small-time-step problem in the context of di ff usion and advection-di ff usion problems, respectively, and introduced simple modifications to τ ’s to account for the small-time-step limit.”
• Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement (2005, background): “Recent, stateof-the-art literature on stabilized methods is presented in [55–66].”
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES (2006, background): “For background and early literature on these formulations we refer the reader to [9], while the state-of-the-art literature on the subject may be found in [20, 28, 37, 12, 14, 10, 22, 6, 21, 5, 2, 30].”