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Showing 1 to 4 of 4 for “"Extended Finite Element (XFEM)"”.
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Numerical methods for mass transport equations in two-phase incompressible flows
… discretization for the surface force and the extended finite element (XFEM) for the pressure approximation. The combination of these methods delivers optimal error bounds when the surface tension coefficient is constant. For the general case with a variable surface tension coefficient, we …
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Developments in Extended Finite Element Methods for Extraction of Strain Energy Release Rates and Computational Nanomechanics for SWCNT Aggregates
… part, a new analytical approach, within the extended finite element (XFEM) framework, is proposed to compute Strain Energy Release Rates (SERRs) directly from Irwin's integral. Crack tip enrichment functions in XFEM allow for evaluation of integral quantities in closed form (for some crack …
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Numerical methods for three-dimensional incompressible two-phase flow problems
… interface. For the spatial discretization we use finite elements on a nested hierarchy of tetrahedral grids. An adaptive multilevel refinement algorithm allows for local refinement and coarsening of the grid hierarchy. By partial integration of the Laplace-Beltrami operator the weak formulation of …
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Development of a Computational Approach to Assess Hip Fracture and Repair: Considerations of Intersubject and Surgical Alignment Variability
… of the art by utilizing a novel technique in the extended finite element method (XFEM) to assess hip fracture and develops a computational approach to evaluate fracture repair.</p> <p>Natural and implanted finite element models were used to predict fracture patterns and evaluate bone-implant load …