Search Results for "xfem"

PhiPsi is a 2D and 3D computational solid mechanics program, which involves the extended finite element method (XFEM), as well as the finite element method (FEM). PhiPsi is written in Fortran and compiled using the GNU Fortran compiler (gfortran). PPView is a visualization tool for PhiPsi. PPView can be used to import Abaqus inp file, view the model defined in the PhiPsi keywords file (*.kpp), edit PhiPsi keywords file, perform a PhiPsi simulation, and view the simulation result files generated by PhiPsi. ...

...The OGFEM avoids loss of accuracy by modifying the basis such that it results in a system matrix with a condition number which is significantly lower in comparison with the condition numbers obtained by the GFEM/XFEM or SGFEM/SXFEM. Consequently, enriched basis functions can be employed to improve the rate at which the approximation converges to the exact solution. Equivalently, the computational efficiency is improved. Websites authors: Adriaan Sillem

OpenXfem++ is an XFEM (eXtended Finite Element Method) written in C++ using object-oriented techniques. It supports propagation of multiple two dimensional cracks. Furthermore, it allows composite materials to be modeled on a structured mesh which is independent of the inclusions. The implementation is described in the following article An extended finite element library S Bordas, PV Nguyen, C Dunant, A Guidoum, H Nguyen‐Dang International Journal for Numerical Methods in Engineering 71 (6), 703-732.

The extended finite element method (XFEM) classified, one of the partition of unity method (PUM), allows discontinuities to be simulated independently of the mesh. This is possible by adding appropriate functions to the FE approximation basis, for example, the Heaviside function. The discontinuities can evolve in time, without a need for a conforming mesh. A MATLAB implementation of the XFEM written by VP Nguyen, is given here.