A First Course in the Finite Element Method

By D. Logan. 2001

1,202 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/81bf9aee3e1580c4158bec32dfdaf9d0ea77caf2

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Citations in the corpus

Phase change materials, their synthesis and application in textiles—a review (2019, methodology): “The object of model is divided into finite number of equivalent elements to find the approximate values of unknown and the elements are interconnected with each other by nodes and this whole process is called discretization [128].”
Mixed convection of Al2O3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno’s two-phase model (2018, methodology): “To solve the problem, it subdivides a large problem into smaller, simpler parts that are called finite elements [39].”
Natural sway frequencies and damping ratios of trees: influence of crown structure (2005, methodology): “A fuller description of the mass and stiffness matrices can be found in an introductory text on the finite element method (e.g., Logan 1993).”
Mechanical Analyses and Structural Design Requirements for Flexible Energy Storage Devices (2017, methodology): “Hence, the finite element analysis (FEA) method,[76] which is a numerical method, was selected to yield an approximate acceptable solution for flexible and stretchable devices with complicated geometries by formulating and combining the algebraic equations of subunits.”
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, methodology): “Readers with background in the engineering “structural analysis” version of the finite element method may find Bickford (1994) as an attractive bridge over to the abstract mathematical formulation that FEniCS builds upon.”
Experimental Testing of a Moving Force Identification Bridge Weigh-in-Motion Algorithm (2009, methodology): “Both the longitudinal and transverse beam members are modeled using two noded beam elements with three degrees of freedom per node, one translation and two rotations [21, 22].”
A numerical model for predicting the fire resistance of reinforced concrete beams (2008, background): “Thus, the following equation can be obtained [18]: ðM þ hhKÞT nþ1 1⁄4 ðM hð1 hÞKÞT nþ hðhF nþ1þ ð1 hÞF nÞ ð5Þ”