Details

Title

An Improved XFEM for the Poisson Equation with Discontinuous Coefficients

Journal title

Archive of Mechanical Engineering

Yearbook

2017

Numer

No 1

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Science, Committe of Machine Design

Date

2017

Identifier

ISSN 0004-0738, e-ISSN 2300-1895

References

Vinh Phu Nguyen (2015), Isogeometric analysis : An overview and computer implementation aspects and in, Mathematics Computers Simulation, 117, doi.org/10.1016/j.matcom.2015.05.008 ; Tarancón (2009), Enhanced blending elements for XFEM applied to linear elastic fracture mechanics for in, International Journal Numerical Methods Engineering, 77, 126, doi.org/10.1002/nme.2402 ; Merle (2002), Solving thermal and phase change problems with the eXtended finite element method, Computational mechanics, 28, 339, doi.org/10.1007/s00466-002-0298-y ; Babuška (2012), Stable generalized finite element method in and, Computer Methods Applied Mechanics Engineering, 201, doi.org/10.1016/j.cma.2011.09.012 ; Belytschko (1999), Elastic crack growth in finite elements with minimal remeshing for numerical methods in engineering, International journal, 45, 601. ; Wadbro (2013), A uniformly well - conditioned , unfitted nitsche method for interface problems Numerical, BIT Mathematics, 53, 791, doi.org/10.1007/s10543-012-0417-x ; Chessa (2002), The extended finite element method for solidification problems for in, International Journal Numerical Methods Engineering, 53, 1959, doi.org/10.1002/nme.386 ; Zi (2003), New crack - tip elements for xfem and applications to cohesive cracks for in, International Journal Numerical Methods Engineering, 57, 2221, doi.org/10.1002/nme.849 ; Moës (2003), A computational approach to handle complex microstructure geometries in and, Computer methods applied mechanics engineering, 28, 192, doi.org/10.1016/S0045-7825(03)00346-3 ; Wu (2015), An improved stable XFEM ( Is with a novel enrichment function for the computational modeling of cohesive cracks in and, Computer Methods Applied Mechanics Engineering, 295, doi.org/10.1016/j.cma.2015.06.018 ; Kergrene (2016), Stable generalized finite element method and associated iterative schemes ; application to interface problems in and, Computer Methods Applied Mechanics Engineering, 305, doi.org/10.1016/j.cma.2016.02.030 ; Stapór (2015), The XFEM for nonlinear thermal and phase change problems of Numerical Methods for Heat & Fluid, International Journal Flow, 25, 400, doi.org/10.1108/HFF-02-2014-0052 ; Stąpór (2011), Application of xfem with shifted - basis approximation to computation of stress intensity factors Archive of Mechanical, Engineering, 58, 447, doi.org/10.2478/v10180-011-0028-0 ; Fries (2008), A corrected XFEM approximation without problems in blending elements for in, International Journal Numerical Methods Engineering, 75, 503, doi.org/10.1002/nme.2259 ; Ventura (2003), Vector level sets for description of propagating cracks in finite elements for in, International Journal Numerical Methods Engineering, 58, 1571, doi.org/10.1002/nme.829 ; Hansbo (2014), A cut finite element method for a stokes interface problem Numerical, Applied Mathematics, 85, doi.org/10.1016/j.apnum.2014.06.009

DOI

10.1515/meceng-2017-0008

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