This paper presents the extension of the recently proposed NURBS-enhanced finite element method (NEFEM) to 3D domains. NEFEM is able to exactly represent the geometry of the computational domain by means of its CAD boundary ...

This paper presents an adaptive strategy for phase-field simulations with transition to fracture. The phase-field equations are solved only in small subdomains around crack tips to determine propagation, while an XFEM ...

A method to solve 4th-order PDEs using the Finite Element Method (FEM) with standard C0 elements is derived and studied. It is based on a special weak form accounting for the discontinuous derivatives of the approximation ...

Phase-field models for brittle fracture consider smeared representations of cracks, which are described by a continuous field that varies abruptly in the transition zone between unbroken and broken states. Computationally, ...

En l’actualitat els mètodes numèrics s’han consolidat com una disciplina horitzontal en l’àmbit de l’enginyeria civil. En aquest sentit, les assignatures bàsiques relacionades directament amb els mètodes numèrics han ...

This paper develops a computational framework with unfitted meshes to solve linear piezoelectricity and flexoelectricity electromechanical boundary value problems including strain gradient elasticity at infinitesimal ...

The discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori ...