A first course in finite elements
By Jacob Fish, Ted Belytschko. 2007
453 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering
View Paper: https://www.semanticscholar.org/paper/2e098caa260bc24d4eb58085d157b5355aa2d3f5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Jesús G. González
- Michael S. Steinbach
- Vipin Kumar
- Sumit Kumar Gupta
- Xiaowei Jia
- Shaoming Xu
- Jared D. Willard
- Kenneth J. Loh
Citations in the corpus
- MOOSE: Enabling Massively Parallel Multiphysics Simulation (2019, background): “Kernel objects define volumetric integral terms while BoundaryCondition objects define surface integral terms that arise from the derivation of the FEM weak form[3].”
- Integrating Physics-Based Modeling with Machine Learning: A Survey (2020, methodology): “In many physical systems, governing equations are known, but direct numerical solutions of partial differential equations (PDEs) using common methods, such as the Finite Elements Method or the Finite Difference Method [80], are prohibitively expensive.”
- Integrating Scientific Knowledge with Machine Learning for Engineering and Environmental Systems (2020, methodology): “In many physical systems, governing equations are known, but direct numerical solutions of partial differential equations (PDEs) using common methods, such as the Finite Elements Method or the Finite Difference Method [93], are prohibitively expensive.”
- Self-sensing concrete enabled by nano-engineered cement-aggregate interfaces (2017, methodology): “All the calculations have been carried out in the regular bi-unit square domain and thereafter transferred into the real domain using iso-parametric formulation.(44,45) Galerkin’s approximation states that the test function can be chosen to be the same as the nodal shape function, which turns equati”
- Full analytical sensitivities in NURBS based isogeometric shape optimization (2010, unknown): “The strong form for linear elasticity [20] is as follows ∇ · σx + bx = 0 and ∇ · σy + by = 0 on Ω σ = D∇su σx · n = tx and σy · n = ty on Γt, u = ū on Γu.”