A two-dimensional simulation of solidification processes in materials with thermo-dependent properties using XFEM

Stefan problems, phase changes, etc. (80A22) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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Uses Software

XFEM

Cites Work

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An enrichment scheme for solidification problems
A Newton method with adaptive finite elements for solving phase-change problems with natural convection
Modelling dendritic solidification with melt convection using the extended finite element method
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A simple level set method for solving Stefan problems
A computational approach to handle complex microstructure geometries.
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The XFEM for nonlinear thermal and phase change problems
A two-dimensional simulation of solidification processes in materials with thermo-dependent properties using XFEM
Total variation and level set methods in image science
A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
A corrected XFEM approximation without problems in blending elements
Enhanced blending elements for XFEM applied to linear elastic fracture mechanics
Elastic crack growth in finite elements with minimal remeshing
New crack‐tip elements for XFEM and applications to cohesive cracks
Vector level sets for description of propagating cracks in finite elements
Finite element simulation of metal casting
Turbulent Combustion
The extended finite element method (XFEM) for solidification problems
Finite Element Methods and Their Applications
On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method

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