This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …

Soft biological tissues are complex materials with a large structural variety, with differences
in behavior, but with some common characteristics. Skin is an archetypal soft tissue which …

Unfitted finite element techniques are valuable tools in different applications where the
generation of body-fitted meshes is difficult. However, these techniques are prone to severe …

This paper presents an efficient and accurate method for the integration of discontinuous
functions on a background mesh in three dimensions. This task is important in computational …

Following a series of recent innovations, isogeometric shell analysis based on trimmed CAD
surfaces is currently being developed into an accurate, efficient and mature design-through …

Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena
Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate …

We explore the use of the non-symmetric Nitsche method for the weak imposition of
boundary and coupling conditions along interfaces that intersect through a finite element …

Abstract The Cut Finite Element Method (CutFEM) is recently shown to be a versatile
approach for tunnel construction modeling and settlement analysis. The CutFEM can …

This paper presents an adaptive strategy for phase-field simulations with transition to
fracture. The phase-field equations are solved only in small subdomains around crack tips to …

The non-symmetric variant of Nitsche's method was recently applied successfully for
variationally enforcing boundary and interface conditions in non-boundary-fitted …