Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity

Philip L. Lederer; Rolf Stenberg

doi:10.1090/mcom/3784

Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity

Philip L. Lederer^*, Rolf Stenberg

^*Corresponding author for this work

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

3 Citations (Scopus)

1 Downloads (Pure)

Abstract

We consider mixed finite element methods for linear elasticity for which the symmetry of the stress tensor is exactly satisfied. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibility. For the a posteriori error analysis we consider the Prager-Synge hypercircle principle and introduce a new estimate uniformly valid in the incompressible limit.

Original language	English
Pages (from-to)	583-605
Number of pages	23
Journal	Mathematics of computation
Volume	92
Issue number	340
DOIs	https://doi.org/10.1090/mcom/3784
Publication status	Published - Mar 2023
Externally published	Yes

Keywords

n/a OA procedure

Access to Document

10.1090/mcom/3784

Cite this

@article{50636d01bc0a4f16a4bd296796456948,

title = "Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity",

abstract = "We consider mixed finite element methods for linear elasticity for which the symmetry of the stress tensor is exactly satisfied. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibility. For the a posteriori error analysis we consider the Prager-Synge hypercircle principle and introduce a new estimate uniformly valid in the incompressible limit.",

keywords = "n/a OA procedure",

author = "Lederer, {Philip L.} and Rolf Stenberg",

year = "2023",

month = mar,

doi = "10.1090/mcom/3784",

language = "English",

volume = "92",

pages = "583--605",

journal = "Mathematics of computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "340",

}

TY - JOUR

T1 - Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity

AU - Lederer, Philip L.

AU - Stenberg, Rolf

PY - 2023/3

Y1 - 2023/3

N2 - We consider mixed finite element methods for linear elasticity for which the symmetry of the stress tensor is exactly satisfied. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibility. For the a posteriori error analysis we consider the Prager-Synge hypercircle principle and introduce a new estimate uniformly valid in the incompressible limit.

AB - We consider mixed finite element methods for linear elasticity for which the symmetry of the stress tensor is exactly satisfied. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibility. For the a posteriori error analysis we consider the Prager-Synge hypercircle principle and introduce a new estimate uniformly valid in the incompressible limit.

KW - n/a OA procedure

UR - http://www.scopus.com/inward/record.url?scp=85145940818&partnerID=8YFLogxK

U2 - 10.1090/mcom/3784

DO - 10.1090/mcom/3784

M3 - Article

SN - 0025-5718

VL - 92

SP - 583

EP - 605

JO - Mathematics of computation

JF - Mathematics of computation

IS - 340

ER -

Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this