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JSCIC
2008
2008
Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids
14 years 9 months ago
Abstract We investigate a phase-field model for homogeneous nucleation and critical nucleus morphology in solids. We analyze the mathematical properties of a free energy functional...
69
Voted
JSCIC
2008
14 years 9 months ago
2008
We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entr...
81
Voted
JSCIC
2008
14 years 9 months ago
2008
In this article, it is shown that under certain conditions, the spectral difference (SD) method is independent of the position of the solution points. This greatly simplifies the d...
99
Voted
JSCIC
2008
14 years 9 months ago
2008
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
74
Voted
JSCIC
2008
14 years 9 months ago
2008
The spline element method with constraints is a discretization method where the unknowns are expanded as polynomials on each element and Lagrange multipliers are used to enforce th...