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Problem formulation
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Training Report Modeling Phase
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The X-FEM
Contents
APPLICATION TO PROBLEMS WITH PHASE TRANSFORMATIONS
Subsections
Problem formulation
Discretization with the X-FEM
Variational Formulation and Time-Stepping
Using the LATIN method
The Time Projection
The X-FEM Approximation
Summary of the algorithm
The research of the best enrichment function
First idea: the discontinuous function
Second idea: an hyperbolic continuous function
Third idea: a ``classical, continuous shape function''
Numerical results
Numerical examples in two dimensions
The way to integrate the matrix equations
Two phase Stefan Problems
Square of liquid Alluminium
Renaud Merle 2000-08-26
