We analyze the discontinuous Galerkin method in time combined with a finite element method with symmetric stabilization in space to approximate evolution problems with a linear, first-order differential operator. A unified analysis is presented for space discretization, including the discontinuous Galerkin method and H-conforming finite elements with interior penalty on gradient jumps. Our main...

The application of finite element methods to problems in structural acoustics ( the vibration of an elastic body coupled to an acoustic fluid medium) is considered. New stabilized methods based on the Hellinger-Reissner variational principle with a generalized least-squares modification are developed which yield improvement in accuracy over the standard Galerkin finite element method for both i...

The Extended Finite Element Method (XFEM) is a technique used in fracture mechanics to predict how objects deform as cracks form and propagate through them. Here, we propose the use of XFEM to model the deformations resulting from cutting through organ tissues. We show that XFEM has the potential for being the technique of choice for modelling tissue retraction and resection during surgery. Can...

A Finite Element Method (FEM) mesh is converted to a reluctance network through an original magnetostatic formulation based on face shape functions. This meshed reluctance network is coupled with an standard one, characterizing a 0D system. Both approaches are fully-compatible and the hybridized problem can be solve with a single circuit solver. The approach is tested in 2D on a magnetic circui...

An adaptive nite element–boundary element algorithm is proposed to compute an approximate solution of a given boundary value problem. The convergence in H ( ) is controlled by a boundary element based a-posteriori error estimator from which an adaptive re nement strategy is derived. Corresponding error estimates are given based on appropriate boundary element error estimates in negative Sobolev...

Particle compound material is the composition of different particles with inhomogeneous and non-uniform properties. Particle compound material is the most complicated engineering material whose properties vary according to the applications, method of manufacturing and ratio of its ingredients. The quasi-homogeneous materials like building materials and constituents of tablets, pellets etc are s...

An adaptive automatic cell generation for elasto-plastic problems has been developed which eliminates the need of user definition of the cells. These are progressively generated only on those points where plasticity occurs. Unnecessary domain computations are avoided, which leads to a gain in efficiency. The new method has been tested on examples and the accuracy of the results is in agreement ...

O. Chivu, C. Rontescu, D-T. Cicic, Polytechnic University of Bucharest, Romania This paper presents the results of the practical trials carried out based on the calculation assumptions considered within the FEM of the reconditioning by welding of a crankshaft used in the automotive industry. For the validation of the analytical model it was considered the influence of the crankshaft fixing poss...