SHARP REGULARITY COEFFICIENT ESTIMATES FOR COMPLEX-VALUED ACOUSTIC AND ELASTIC HELMHOLTZ EQUATIONS

By Peter T. Cummings, Xiaodan Feng. 2006

133 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/077d5c96afab1005cefc04c1f8a20e388fe24add

How researchers see this paper

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

In Applied Mathematics

1. Xiu Ye
2. Ralf Hiptmair
3. Claude Jeffrey Gittelson
4. Lin Mu
5. Junping Wang

In Computational Theory and Mathematics

1. Xiu Ye
2. Ilaria Perugia
3. Ralf Hiptmair
4. Claude Jeffrey Gittelson
5. Lin Mu
6. Junping Wang
7. Christoph Schwab

In Mathematical Physics

1. Ilaria Perugia
2. Xiu Ye
3. Ralf Hiptmair
4. Claude Jeffrey Gittelson
5. Lin Mu
6. Junping Wang

Citations in the corpus

• Stability estimates for a class of Helmholtz problems (2007, unknown): “Recently, Cummings and Feng [3] extended the proof of Melenk to three-dimensions(1).”
• PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗ (2009, background): “Key duality estimates rely on elliptic lifting theorems for Helmholtz boundary value problems (see [12,19,26]).”
• A new weak Galerkin finite element method for the Helmholtz equation (2015, methodology): “Many numerical schemes have been developed and analyzed for the Helmholtz equation using finite element methods or other numerical methods [1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29] and the references therein.”