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Everything about Integral element
Mathematical element
In commutative algebra, an element b of a commutative ring B is said to be integral over a subring A of B if b is a root of some monic polynomial over A. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Integral elementA 5-minute orientation
- Skim a recent paper: Energy-based PINNs using the element integral approach and their enhancement for solid mechanics problemsInfluential work since 2022
- Pick up a classic book: VLSI and Post-CMOS ElectronicsThe most-reprinted book on the subject
- Read the landmark paper: A finite element calculation of stress intensity factors by a modified crack closure integralCited 1,992 times
- Go sideways: Integrally closed domainA closely related topic
- Go sideways: Valuation ringA closely related topic
📖 Definitions
Noun Given a commutative unital ring R with extension ring S (i.e., that is a subring of S), any element s ∈ S that is a root of some monic polynomial with coefficients in R.
🏆 Landmark papers (most cited)
A finite element calculation of stress intensity factors by a modified crack closure integral
Nonlocal integral elasticity: 2D finite element based solutions
Nonlinear Analysis of Integral Bridges: Finite-Element Model
Weighted integral method in stochastic finite element analysis
A Finite Element Collocation Method for Singular Integral Equations
Adaptive boundary element methods for strongly elliptic integral equations
Finite element-boundary integral formulation for electromagnetic scattering
Element by element prediction model of condensation heat transfer on a horizontal integral finned tube
🆕 Influential since 2022
Energy-based PINNs using the element integral approach and their enhancement for solid mechanics problems
Nitric oxide as an integral element in priming-induced tolerance and plant stress memory
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem
Depth of field expansion method for integral imaging based on diffractive optical element and CNN
Virtual element method for mixed-mode cohesive fracture simulation with element split and domain integral
📚 Books worth reading
VLSI and Post-CMOS ElectronicsRohit Dhiman, Rajeevan Chandel · 2019
The boundary integral approach to static and dynamic contact problemsHeinz Antes, H. Antes · 1992- 📕Steady-state and transient boundary element methods for coupled heat conductionDean A. Kontinos · 1997
- 📕Wing-body aeroelasticity on parallel computersChansup Byun · 1996
Retarded Potentials and Time Domain Boundary Integral EquationsFrancisco-Javier Sayas · 2016
VLSI fabrication principlesSorab Khushro Ghandhi · 1983
Boundary integral equation methods for solids and fluidsMarc Bonnet · 1995
IABEM Symposium on Boundary Integral Methods for Nonlinear ProblemsLuigi Morino · 1997
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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