22 citations · 38 across the 8 of their papers we have counts for
4 papers · 2 filters
Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines
Mathias Schmidt, Lise Noel, Keenan Doble +2
This paper presents an immersed, isogeometric finite element framework to predict the response of multi-material, multi-physics problems with complex geometries using locally refin…
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…
Constructing Nitsche's method for variational problems
Joseph Benzaken, John A. Evans, Rasmus Tamstorf
Nitsche's method is a well-established approach for weak enforcement of boundary conditions for partial differential equations (PDEs). It has many desirable properties, including t…
A note on the conservation properties of the generalized- method
DeAnna S. Gilchrist, John A. Evans
We show that the second-order accurate generalized- method on a uniform temporal mesh may be viewed as an implicit midpoint method on a shifted temporal mesh. With this insight,…