The concept of isogeometric analysis, whereby the parametric functions that are used to
describe CAD geometry are also used to approximate the unknown fields in a numerical …

In this paper, we present some novel results and ideas for robust and accurate implicit
representation of geometric surfaces in finite element analysis. The novel contributions of …

We present a unified framework for developing and analyzing immersed finite-element (IFE)
spaces for solving typical elliptic interface problems with interface-independent meshes …

This paper proposes a novel Immersed Boundary Method where the embedded domain is
exactly described by using its Computer‐Aided Design (CAD) boundary representation with …

Errors in biomechanics simulations arise from modelling and discretization. Modelling errors
are due to the choice of the mathematical model whilst discretization errors measure the …

In patient specific biomedical simulation, the numerical model is usually created after
cumbersome, time consuming procedures which often require highly specialized human …

Transport and international agencies invest millions of dollars on road projects to support
countries develop their infrastructure; therefore, it is important to ensure longer service life …

The isogeometric boundary element method (IGABEM) has great potential for the simulation
of elasticity problems because of its exact geometric representation and good approximation …

We investigate the isogeometric analysis for surface PDEs based on the extended Loop
subdivision approach. The basis functions consisting of quartic box-splines corresponding to …

In this article, we develop a cut finite element method for one-phase Stefan problems with
applications in laser manufacturing. The geometry of the workpiece is represented implicitly …