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Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients

Pulin Kumar BhattacharyyaNeela Nataraj — 2002

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field Ψ = ( ψ i j ) 1 i , j 2 and displacement...

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. BhattacharyyaNeela Nataraj — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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 , have been developed considering the combined effect of boundary approximation and numerical integration.

Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients

Pulin Kumar BhattacharyyaNeela Nataraj — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field Ψ = ( ψ i j ) 1 i , j 2 and displacement...

An -Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel

Gupta NupurNataraj Neela — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper, we discuss an -discontinuous Galerkin finite element method (-DGFEM) for the laser surface hardening of steel, which is a constrained optimal control problem governed by a system of differential equations, consisting of an ordinary differential equation for austenite formation and a semi-linear parabolic differential equation for temperature evolution. The space discretization of the state variable is done using an -DGFEM, time and control discretizations are based on a discontinuous Galerkin...

An -Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel

Gupta NupurNataraj Neela — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper, we discuss an -discontinuous Galerkin finite element method (-DGFEM) for the laser surface hardening of steel, which is a constrained optimal control problem governed by a system of differential equations, consisting of an ordinary differential equation for austenite formation and a semi-linear parabolic differential equation for temperature evolution. The space discretization of the state variable is done using an -DGFEM, time and control discretizations are based on a discontinuous Galerkin...

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