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=== CutFEM ===
The Cut Finite Element Approach was developed in 2014.<ref>{{Cite web |last=celledoni |date=2023-02-27 |title=CutFEM: Discretizing Partial Differential Equations and Geometry |url=https://ecmiindmath.org/2023/02/27/cutfem-discretizing-partial-differential-equations-and-geometry/ |access-date=2023-10-13 |website=ECMI |language=en-US}}</ref> The approach is "to make the discretization as independent as possible of the geometric description and minimize the complexity of mesh generation, while retaining the accuracy and robustness of a standard finite element method."<ref>{{Cite journal |last=Burman |first=Erik |last2=Claus |first2=Susanne |last3=Hansbo |first3=Peter |last4=Larson |first4=Mats G. |last5=Massing |first5=André |date=2015-11-16 |title=CutFEM: Discretizing geometry and partial differential equations |url=https://onlinelibrary.wiley.com/doi/10.1002/nme.4823 |journal=International Journal for Numerical Methods in Engineering |language=en |volume=104 |issue=7 |pages=472–501 |doi=10.1002/nme.4823 |issn=0029-5981|doi-access=free }}</ref>
===Generalized finite element method===
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