In this work a theoretical framework implementing the phase-field approach to fracture is
used to couple the physics of flow through porous media and cracks with the mechanics of …

Abstract The Shifted Boundary Method (SBM) is an approximate domain method for
boundary value problems, in the broader class of unfitted/embedded/immersed methods …

This paper presents a level-set topology optimization approach that uses conformal meshes
for the analysis of the displacement field. The structure's boundary is represented by the iso …

This paper presents numerical studies with three classes of quadratic Generalized FEM
(GFEM) approximations and shows that all of them lead to errors that are orders of …

We propose a new embedded/immersed framework for computational solid mechanics,
aimed at vastly speeding up the cycle of design and analysis in complex geometry. In many …

Abstract Recently, the Shifted Boundary Method (SBM) was proposed within the class of
unfitted (or immersed, or embedded) finite element methods. By reformulating the original …

We present a method for the generation of higher-order tetrahedral meshes. In contrast to
previous methods, the curved tetrahedral elements are guaranteed to be free of …

In this paper, the quadratic Stable Generalized Finite Element Method (SGFEM) proposed in
Sanchez-Rivadeneira and Duarte (2019) is extended to 3-D fracture problems with non …

We propose a simplified version of the Shifted Fracture Method (SFM), which relies on an
approximate fracture geometry representation combined with approximate interface …

A new enriched finite element technique, named the Discontinuity-Enriched Finite Element
Method (DE-FEM), was introduced recently for solving problems with both weak and strong …