On time integration in the XFEM
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Publication:3399298
DOI10.1002/nme.2558zbMath1171.76418OpenAlexW1973201513WikidataQ118368075 ScholiaQ118368075MaRDI QIDQ3399298
Thomas-Peter Fries, Andreas Zilian
Publication date: 12 October 2009
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2558
Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)
Related Items (30)
Toward application of conformal decomposition finite elements to non-colloidal particle suspensions ⋮ Numerical investigations of the XFEM for solving two-phase incompressible flows ⋮ Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients ⋮ An enrichment scheme for solidification problems ⋮ Scale-bridging with the extended/generalized finite element method for linear elastodynamics ⋮ A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains ⋮ Implementation of an X-FEM solver for the classical two-phase Stefan problem ⋮ Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures ⋮ A fourth-order unfitted characteristic finite element method for free-boundary problems ⋮ Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture ⋮ A semi-Lagrangean time-integration approach for extended finite element methods ⋮ A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces ⋮ Condensed generalized finite element method ⋮ Melting interfaces in induction heated bodies ⋮ High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations ⋮ A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales ⋮ Transient analysis of sharp thermal gradients using coarse finite element meshes ⋮ Analysis of backward Euler/extended finite element discretization of parabolic problems with moving interfaces ⋮ Hanging nodes and XFEM ⋮ A high-order generalized finite element method for multiscale structural dynamics and wave propagation ⋮ Consistent immersed volumetric Nitsche methods for composite analysis ⋮ XFEM with hanging nodes for two-phase incompressible flow ⋮ Higher-order XFEM for curved strong and weak discontinuities ⋮ The XFEM for high-gradient solutions in convection-dominated problems ⋮ An extended finite element method for a diffuse-interface model ⋮ The extended finite element method for two-phase and free-surface flows: a systematic study ⋮ The stable XFEM for two-phase flows ⋮ The extended/generalized finite element method: An overview of the method and its applications ⋮ Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm ⋮ Stable generalized finite element method (SGFEM) for parabolic interface problems
Uses Software
Cites Work
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