A parallel mixed finite element implementation of fourth-order plate bending problems in distributed memory environments

DOI10.1016/j.amc.2004.02.018zbMath1116.74062OpenAlexW2006270363MaRDI QIDQ1774936

Kshitij Kulshreshtha, Neela Nataraj, Michael Jung

Publication date: 4 May 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.02.018

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

On gradient-type optimization method utilizing mixed finite element approximation for optimal boundary control problem governed by bi-harmonic equation ⋮ Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation ⋮ A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems ⋮ A mixed finite element method for fourth order eigenvalue problems

Uses Software

• VAMPIR

Cites Work

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• A mixed finite element method for fourth order elliptic equations with variable coefficients
• On existence and uniqueness of solutions of boundary value problems of fourth order elliptic partial differential equations with variable coefficients
• The approximate Dirichlet domain decomposition method. I: An algebraic approach
• Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments
• On the convergence of a mixed finite-element method for plate bending problems
• A parallel preconditioned conjugate gradient method using domain decomposition and inexact solvers on each subdomain
• On a mixed finite element method for clamped anisotropic plate bending problems
• A parallel finite element solution method
• An improved finite-difference analysis of bending of thin rectangular elastic plates
• Anisotropic elasto‐plastic finite element analysis of thick and thin plates and shells

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