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 …

We review different techniques to enforce essential boundary conditions, such as the
(nonhomogeneous) Dirichlet boundary condition, within a discrete variational framework …

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 …

Embedded or immersed boundary methods (IBM) are powerful mesh-based techniques that
permit to solve partial differential equations (PDEs) in complex geometries circumventing the …

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

The structural performance of a vertebra can be significantly undermined if it develops a
tumour, that could even lead to the vertebra's structural collapse. In cancers with a high …

In recent years, the patient specific medical scenario has gained increasing popularity in
health and engineering research. Unlike the standard medical paradigm (generalized …

Structural optimization is part of the mechanical engineering field and, in most cases, tries to
minimize the overall weight of a given design domain, subjected to functionality constraints …

The growing number of scientific publications on topology optimization (TO) shows the great
interest that this technique has generated in recent years. Among the different …