A finite element based level-set method for multiphase flow applications

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Spatially adaptive techniques for level set methods and incompressible flow (2006, background): “Other interesting work includes the adaptive mesh redistribution of [93] and the finite element based fluids of [94, 19, 18].”
A conservative level set method for two phase flow II (2005, unknown): “The poor mass conservation of level set methods in a finite element framework compared to front tracking methods was pointed out in [8].”
A survey on level set methods for inverse problems and optimal design (2005, methodology): “In order to ensure a reasonable accuracy it is important to choose appropriate functions w [54, 137, 138], or to use adaptive refinement (which can be based on standard a-posteriori estimation).”