Estimates for deviations from exact solutions to plane problems in the cosserat theory of elasticity

Repin, Sergey; Frolov, M. E.

doi:10.1007/s10958-012-0684-8

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2021

Publication Types

Select...

Article4

Book1

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

(2 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…First paper concerning modern a posteriori error control for computed approximations appeared in 1994 [9]. The functional-type error estimates for the Cosserat elasticity were obtained later in [10,11] and implemented in [12][13][14]. In paper [13] first results for adaptive mesh refinement were shown.…”

Section: Introductionmentioning

confidence: 99%

Analysis of marking criteria for mesh adaptation in Cosserat elasticity

Churilova

2018

MATEC Web Conf.

View full text Add to dashboard Cite

The article is devoted to comparison of finite element marking criteria for adaptive mesh refinement while solving plane Cosserat elasticity problems. The goal is to compare the resulting adaptive meshes obtained with different marking strategies. Mesh refinement and error control is done using the functional type a posteriori error majorant. Implemented algorithms use the zero-order Raviart-Thomas approximation on triangular meshes. Four widely used marking criteria are utilized for mesh adaptation. The comparative analysis is presented for two plane-strain problems.

show abstract

Section: Introductionmentioning

confidence: 99%

Analysis of marking criteria for mesh adaptation in Cosserat elasticity

Churilova

2018

MATEC Web Conf.

View full text Add to dashboard Cite

show abstract

“…2 The derivation of these estimates involves using the methods of the theory of the duality of the variational calculus. The functional approach used has been developed for a wide class of variational problems 3 and is most fully described in the monograph 4 and in a number of papers cited in it.…”

Section: Introductionmentioning

confidence: 99%