A control volume-based finite difference method for solving the equilibrium equations in terms of displacements

DOI10.1016/0307-904X(94)00015-XzbMath0827.73074OpenAlexW2046356991MaRDI QIDQ1895470

P. N. Hansen, Jesper Henri Hattel

Publication date: 16 August 1995

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(94)00015-x

zbMATH Keywords

generalized Navier equationsline by line solversnonconstant material dataresistance formulation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items

A control volume-based finite difference method for solving the equilibrium equations in terms of displacements ⋮ An unstructured finite volume time domain method for structural dynamics ⋮ Refined meshless local strong form solution of Cauchy-Navier equation on an irregular domain ⋮ Dynamic solid mechanics using finite volume methods ⋮ A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid-structure interaction ⋮ A fourth-order finite volume method for structural analysis ⋮ A numerical model for predicting the thermomechanical conditions during hydration of early-age concrete ⋮ A Lagrangian cell‐centred finite volume method for metal forming simulation

Cites Work

• On Two-line iterative methods for the Laplace and biharmonic equations
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• On an Alternating Direction Method for Solving the Plate Problem with Mixed Boundary Conditions
• Some Computational Results on “Two-Line” Iterative Methods for the Biharmonic Difference Equation
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Simultaneous, Successive and Alternating Direction Iteration Schemes
• Iterative system for solving static problems in the theory of elasticity
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