Numerical Approximation of the Cahn-Larché Equation

URN to cite this document:: urn:nbn:de:bvb:355-epub-108253
DOI to cite this document:: 10.5283/epub.10825

Garcke, Harald

; Weikard, Ulrich

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Date of publication of this fulltext: 03 Nov 2009 09:12

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Abstract

Spinodal decomposition, i.e., the separation of a homogeneous mixture into different phases, can be modeled by the Cahn-Hilliard equation - a fourth order semilinear parabolic equation. If elastic stresses due to a lattice misfit become important, the Cahn-Hilliard equation has to be coupled to an elasticity system to take this into account. Here, we present a discretization based on finite ...