Interpolation estimates for edge finite elements and application to band gap computation

Daniele Boffi; Lucia Gastaldi

doi:10.1016/j.apnum.2006.03.014

Interpolation estimates for edge finite elements and application to band gap computation

Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we develop new interpolation estimates for three-dimensional edge finite elements which require minimal regularity assumptions on the vectorfield to be approximated. These estimates turn out to be essential in our convergence analysis for edge element approximation of band gaps associated with photonic crystals. © 2006 IMACS.

Original language	English (US)
Pages (from-to)	1283-1292
Number of pages	10
Journal	Applied Numerical Mathematics
Volume	56
Issue number	10-11 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.apnum.2006.03.014
State	Published - Oct 1 2006
Externally published	Yes

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10.1016/j.apnum.2006.03.014

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title = "Interpolation estimates for edge finite elements and application to band gap computation",

abstract = "In this paper we develop new interpolation estimates for three-dimensional edge finite elements which require minimal regularity assumptions on the vectorfield to be approximated. These estimates turn out to be essential in our convergence analysis for edge element approximation of band gaps associated with photonic crystals. {\textcopyright} 2006 IMACS.",

author = "Daniele Boffi and Lucia Gastaldi",

note = "Generated from Scopus record by KAUST IRTS on 2020-05-05",

year = "2006",

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doi = "10.1016/j.apnum.2006.03.014",

language = "English (US)",

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T1 - Interpolation estimates for edge finite elements and application to band gap computation

AU - Boffi, Daniele

AU - Gastaldi, Lucia

N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05

PY - 2006/10/1

Y1 - 2006/10/1

N2 - In this paper we develop new interpolation estimates for three-dimensional edge finite elements which require minimal regularity assumptions on the vectorfield to be approximated. These estimates turn out to be essential in our convergence analysis for edge element approximation of band gaps associated with photonic crystals. © 2006 IMACS.

AB - In this paper we develop new interpolation estimates for three-dimensional edge finite elements which require minimal regularity assumptions on the vectorfield to be approximated. These estimates turn out to be essential in our convergence analysis for edge element approximation of band gaps associated with photonic crystals. © 2006 IMACS.

UR - https://linkinghub.elsevier.com/retrieve/pii/S0168927406000638

UR - http://www.scopus.com/inward/record.url?scp=33745932056&partnerID=8YFLogxK

U2 - 10.1016/j.apnum.2006.03.014

DO - 10.1016/j.apnum.2006.03.014

M3 - Article

SN - 0168-9274

VL - 56

SP - 1283

EP - 1292

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 10-11 SPEC. ISS.

ER -

Interpolation estimates for edge finite elements and application to band gap computation

Abstract

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