Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …

We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …

Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …

We present a Nitche's method to couple non-conforming two and three-dimensional non
uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We …

Finite element solvers are a basic component of simulation applications; they are common in
computer graphics, engineering, and medical simulations. Although adaptive solvers can be …

This review presents developments in structural shape optimization post 2000 from
perspective of numerical analysis techniques. Traditional shape optimization with FEM has …

Many engineering design applications require geometric modeling and mechanical
simulation of thin flexible structures, such as those found in the automotive and aerospace …

This article is devoted to isogeometric analysis of higher-order strain gradient elasticity by
user element implementations within a commercial finite element software Abaqus. The sixth …