A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems

DOI10.1016/J.ADVENGSOFT.2011.08.001zbMath1321.74073OpenAlexW2011767671MaRDI QIDQ427147

Neela Nataraj, Baskar Shalini, Pulin Kumar Bhattacharyya

Publication date: 13 June 2012

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2011.08.001

zbMATH Keywords

Cholesky methodpreconditioned CG method

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Parallel numerical computation (65Y05)

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
• A parallel mixed finite element implementation of fourth-order plate bending problems in distributed memory environments
• A black-box multigrid preconditioner for the biharmonic equation
• Krylov solvers for linear algebraic systems.
• On existence of solution of the Dirichlet problem of fourth order partial differential equations with variable coefficients
• An improved finite-difference analysis of bending of thin rectangular elastic plates
• Discontinuous Galerkin methods for the biharmonic problem
• An efficient direct solver for a class of mixed finite element problems

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