The application of mortar methods in the framework of isogeometric analysis is investigated
theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly …

Subdivision surfaces offer great flexibility in capturing irregular topologies combined with
higher order smoothness. For instance, Loop and Catmull–Clark subdivision schemes …

Abstract Isogeometric Analysis (IgA) uses the same class of basis functions for both
representing the geometry of the computational domain and approximating the solution of …

We present a new high-order finite element method for the discretization of partial differential
equations on stationary smooth surfaces which are implicitly described as the zero level of a …

This paper is concerned with the isogeometric analysis (IGA) of composite laminates under
cylindrical bending. Non-uniform rational B-splines (NURBS) are employed as basis …

In this work, we study the approximation properties of multipatch dG-IgA methods, that apply
the multipatch Isogeometric Analysis discretization concept and the discontinuous Galerkin …

We derive and analyze high order discontinuous Galerkin methods for second order elliptic
problems on implicitly defined surfaces in R^3. This is done by carefully adapting the unified …

The nonlocal operator method (NOM) is based on nonlocal theory and employs nonlocal
operators of integral form to replace the local partial differential operators. NOM naturally …

A new discontinuous Galerkin (DG) method is introduced that seamlessly merges exact
geometry with high-order solution accuracy. This new method is called the blended …

We define and analyze hybridizable discontinuous Galerkin methods for the Laplace-
Beltrami problem on implicitly defined surfaces. We show that the methods can retain the …