On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients

Pulin K. Bhattacharyya; Neela Nataraj

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 4, page 807-836
  • ISSN: 0764-583X

Abstract

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Error estimates for the mixed finite element solution of 4th order elliptic problems with variable coefficients, which, in the particular case of aniso-/ortho-/isotropic plate bending problems, gives a direct, simultaneous approximation to bending moment tensor field Ψ = ( ψ i j ) 1 ≤ i , j ≤ 2 and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration.

How to cite

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Bhattacharyya, Pulin K., and Nataraj, Neela. "On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 807-836. <http://eudml.org/doc/197499>.

@article{Bhattacharyya2010,
abstract = { Error estimates for the mixed finite element solution of 4th order elliptic problems with variable coefficients, which, in the particular case of aniso-/ortho-/isotropic plate bending problems, gives a direct, simultaneous approximation to bending moment tensor field $\Psi= (\psi_\{ij\})_\{1 \le i,j \le 2\}$ and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration. },
author = {Bhattacharyya, Pulin K., Nataraj, Neela},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Mixed finite element method; fourth order equations; convergence analysis.; mixed finite element methods; fourth-order elliptic problems; error bounds},
language = {eng},
month = {3},
number = {4},
pages = {807-836},
publisher = {EDP Sciences},
title = {On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients},
url = {http://eudml.org/doc/197499},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Bhattacharyya, Pulin K.
AU - Nataraj, Neela
TI - On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 4
SP - 807
EP - 836
AB - Error estimates for the mixed finite element solution of 4th order elliptic problems with variable coefficients, which, in the particular case of aniso-/ortho-/isotropic plate bending problems, gives a direct, simultaneous approximation to bending moment tensor field $\Psi= (\psi_{ij})_{1 \le i,j \le 2}$ and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration.
LA - eng
KW - Mixed finite element method; fourth order equations; convergence analysis.; mixed finite element methods; fourth-order elliptic problems; error bounds
UR - http://eudml.org/doc/197499
ER -

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