# 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

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topBhattacharyya, 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 -

## Citations in EuDML Documents

top- Pulin Kumar Bhattacharyya, Neela Nataraj, Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
- Pulin Kumar Bhattacharyya, Neela Nataraj, Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients

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