On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications

By Annalisa Buffa, P. Ciarlet. 2001

222 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5424426378265258828845a60283fc4ebc94ff6a

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. Arnold Reusken
2. Martin Costabel
3. Dongwoo Sheen
4. Annalisa Buffa
5. L. Beirão da Veiga
6. Gianmarco Manzini
7. Giancarlo Sangalli
8. Thomas J. R. Hughes

In Computational Theory and Mathematics

1. Arnold Reusken
2. Annalisa Buffa
3. Martin Costabel
4. Dongwoo Sheen
5. Ralf Hiptmair

In Mechanics of Materials

1. Arnold Reusken
2. Annalisa Buffa
3. Martin Costabel
4. L. Beirão da Veiga
5. Gianmarco Manzini
6. Giancarlo Sangalli
7. Thomas J. R. Hughes
8. Faouzi Triki

Citations in the corpus

• Stream function formulation of surface Stokes equations (2018, methodology): “For example, in [8] a Helmholtz decomposition for the case that Γ is a simply connected Lipschitz polyhedron is studied and in [29] a stream function formulation is derived in the setting of differential forms.”
• On traces for H(curl,Ω) in Lipschitz domains (2002, result): “In this section we focus our attention on the construction of an Hodge decomposition for the spaces of traces H−1/2(divΓ ,Γ ) and H−1/2(curlΓ ,Γ ) similar to the ones introduced in [12] for regular surfaces and in [ 7 ] for polyhedra.”