Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Boundary elements analysis in computational fracture mechanics
Boundary elements analysis in computational fracture mechanics
SIAM Review
Discontinuous enrichment in finite elements with a partition of unity method
Finite Elements in Analysis and Design - Special issue on Robert J. Melosh medal competition
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002
Modeling crack in orthotropic media using a coupled finite element and partition of unity methods
Finite Elements in Analysis and Design
A simulation-based design paradigm for complex cast components
Engineering with Computers
Enrichment textures for detailed cutting of shells
ACM SIGGRAPH 2009 papers
Galerkin based smoothed particle hydrodynamics
Computers and Structures
A two-dimensional co-rotational Timoshenko beam element with XFEM formulation
Computational Mechanics
Serial FEM/XFEM-based update of preoperative brain images using intraoperative MRI
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
The finite element method enriched by interpolation covers
Computers and Structures
Local enrichment of the finite cell method for problems with material interfaces
Computational Mechanics
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This article presents an overview and recent progress of the extended finite element method X-FEM in the analysis of crack growth modeling. It summarizes the important milestones achieved by the finite element community in the arena of computational fracture mechanics. The methodology of X-FEM, different from that of the classical finite element method, presents a very particular interest since it does not force the discontinuities to be in conformity with the borders. It makes possible the accurate solution of engineering problems in complex domains, which may be practically impossible to solve using the classical finite element method.