HIGHER ORDER WHITNEY FORMS

By Ralf Hiptmair. 2001

84 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/7ddbe3fecd5829d007d3dbe642f0ae59bbdb5264

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. G. Wei
2. Shan Zhao
3. Douglas N. Arnold
4. Richard S. Falk
5. Ragnar Winther
6. Ö. Civalek

In Computational Mechanics

1. Richard S. Falk
2. Ragnar Winther
3. Douglas N. Arnold
4. D. Boffi
5. Shan Zhao
6. G. Wei
7. Son-Young Yi
8. L. Beirão da Veiga

Citations in the corpus

• Finite element exterior calculus, homological techniques, and applications (2006, methodology): “Besides the work of Whitney and Bossavit already mentioned, we signal the contributions of Hiptmair (1999a, 2001, 2002), especially to the aspects of the theory that are relevant for electromagnetic problems.”
• Finite elements in computational electromagnetism (2002, unknown): “A comprehensive theory of discrete Hodge operators including convergence estimates has been developed in Hiptmair (2001b) and (2001a), extending ideas of Nicolaides and Wang (1998) and Nicolaides and Wu (1997).”
• High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces (2004, background): “Many vector elements, such as Nedelec elements [31], Whitney forms [35,36], and curl/div conforming vector elements [37] are constructed to provide a discrete analog to the continuous vector algebra and to enforce only minimal continuity across element boundaries.”