Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces

By Ralf Hiptmair, Jinchao Xu. SIAM Journal on Numerical Analysis, 2007

397 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/ceeeb2a41bb75d5fecaf419466522440971558a9

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. K A Mardal
2. Olof B. Widlund
3. Clark R. Dohrmann
4. Ragnar Winther

In Computational Mechanics

1. Olof B. Widlund
2. K A Mardal
3. Clark R. Dohrmann
4. Ragnar Winther
5. Xuemin Tu
6. Axel Klawonn
7. Richard S. Falk
8. Son-Young Yi

In Mechanics of Materials

1. Olof B. Widlund
2. K A Mardal
3. Clark R. Dohrmann
4. Ragnar Winther
5. Axel Klawonn
6. Xuemin Tu
7. Son-Young Yi
8. Richard S. Falk

Citations in the corpus

• Preconditioning discretizations of systems of partial differential equations (2011, methodology): “[56–59], and also [60, Section 10], or to use the Helmholtz decomposition more indirectly as in [61].”
• A BDDC Algorithm with Deluxe Scaling for Three‐Dimensional H(curl) Problems (2016, positive): “We also formulate and prove new bounds for H(curl,Ω) and cite a result by Hiptmair and Xu [8] that is important for our development of the theory, which is given in Section 4.”