In this paper we introduce a new set of hp nite element expansions for use in hybrid domains using hexahedrons, prisms, pyramids and tetrahedrons. The expansions are explained in terms of a uniied notation which incorporates the standard hexahedral hp nite element expansion. The new bases are motivated from a set of orthogonal polynomial expansions within each of the hybrid domains. The polynom...

In the field of computational biomechanics, investigators have primarily used commercial software that is neither geared toward biological applications nor sufficiently flexible to follow the latest developments in the field. This lack of a tailored software environment has hampered research progress, as well as dissemination of models and results. To address these issues, we developed the FEBi...

SUMMARY An immersed finite element Fluid-Structure Interaction (FSI) algorithm with an anisotropic remeshing strategy for thin rigid structures is presented in two-dimensions. The algorithm consists in remeshing only the fluid elements that are cut by the solid such that they fit the solid geometry. This approach allows to keep the initially provided fluid mesh vertexes fixed during the whole s...

We present a new method for physically animating deformable shapes using finite element models (FEM). Contrary to commonly used methods based on tetrahedra, our finite elements are the bounding voxels of a given shape at arbitrary resolution. This alleviates the complexities and limitations of tetrahedral volume meshing and results in regular, well-conditionned meshes. We show how to build the ...

A general review of the extended finite element method and its application to the simulation of first-order phase transitions is provided. Detailed numerical investigations are then performed by focusing on the one-dimensional case and studying: (i) spatial and temporal discretisations, (ii) different numerical techniques for the interface-condition enforcement, and (iii) different treatments f...

We consider a model for the interrogation of a planar Debye medium by a non-harmonic microwave pulse from an antenna source in free space, and we compute the reflected solution using finite elements in the spatial variables and finite differences in the time variable. Perfectly Matched Layers (PMLs) and an absorbing boundary condition are used to damp waves interacting with artificial boundarie...

In recent years, in order to reducing die design and manufacturing costs, Multi point forming technique has gained an increasing interest because of its high flexibility. In this process, the conventional fixed shape solid die sets are replaced with a pair of opposite matrices of controllable elements. In this paper, the fundamental principles of multi-point forming was described and the possib...

Finite Elements in Analysis and Design ()-This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic formulations of mesh gradation. The metric at each point defines a well-graded smooth continuous metric field over the domain. The mesh gradation then consists in taking into account at each point the strongest size constraint given by all these continuous metric fiel...