Details
| Original language | English |
|---|---|
| Pages (from-to) | 69-85 |
| Number of pages | 17 |
| Journal | CALCOLO |
| Volume | 45 |
| Issue number | 2 |
| Publication status | Published - Jun 2008 |
Abstract
We present an extension theorem for polynomial functions that proves a quasi-optimal bound for a lifting from L 2 on edges onto a fractional-order Sobolev space on triangles. The extension is such that it can be further extended continuously by zero within the trace space of H 1. Such an extension result is critical for the analysis of non-overlapping domain decomposition techniques applied to the p-and hp-versions of the finite and boundary element methods for elliptic problems of second order in three dimensions.
Keywords
- Additive Schwarz method, Boundary element method, Domain decomposition, Finite element method, p- and hp-versions, Polynomial extension
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Computational Mathematics
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In: CALCOLO, Vol. 45, No. 2, 06.2008, p. 69-85.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An extension theorem for polynomials on triangles
AU - Heuer, Norbert
AU - Leydecker, Florian
PY - 2008/6
Y1 - 2008/6
N2 - We present an extension theorem for polynomial functions that proves a quasi-optimal bound for a lifting from L 2 on edges onto a fractional-order Sobolev space on triangles. The extension is such that it can be further extended continuously by zero within the trace space of H 1. Such an extension result is critical for the analysis of non-overlapping domain decomposition techniques applied to the p-and hp-versions of the finite and boundary element methods for elliptic problems of second order in three dimensions.
AB - We present an extension theorem for polynomial functions that proves a quasi-optimal bound for a lifting from L 2 on edges onto a fractional-order Sobolev space on triangles. The extension is such that it can be further extended continuously by zero within the trace space of H 1. Such an extension result is critical for the analysis of non-overlapping domain decomposition techniques applied to the p-and hp-versions of the finite and boundary element methods for elliptic problems of second order in three dimensions.
KW - Additive Schwarz method
KW - Boundary element method
KW - Domain decomposition
KW - Finite element method
KW - p- and hp-versions
KW - Polynomial extension
UR - http://www.scopus.com/inward/record.url?scp=49949105611&partnerID=8YFLogxK
U2 - 10.1007/s10092-008-0144-5
DO - 10.1007/s10092-008-0144-5
M3 - Article
AN - SCOPUS:49949105611
VL - 45
SP - 69
EP - 85
JO - CALCOLO
JF - CALCOLO
SN - 0008-0624
IS - 2
ER -