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math.NA2022★ 22 cited
Interpolation-based immersed finite element and isogeometric analysis
Jennifer E. Fromm, Nils Wunsch, Ru Xiang +4
We introduce a new paradigm for immersed finite element and isogeometric methods based on interpolating function spaces from an unfitted background mesh into Lagrange finite elemen…
math.NA2022
Skeleton-stabilized divergence-conforming B-spline discretizations for highly advective incompressible flow problems
Guoxiang Grayson Tong, David Kamensky, John A. Evans
We consider a stabilization method for divergence-conforming B-spline discretizations of the incompressible Navier--Stokes problem wherein jumps in high-order normal derivatives of…