Unconditionally Stable Schemes for Equations of Thin Film Epitaxy
نویسندگان
چکیده
dx. The construction of the schemes involves an appropriate extension of Eyre’s idea of convex-concave decomposition of the energy functional. As an application, we derive unconditionally stable and convergent schemes for epitaxial film growth models with slope selection (F (y) = 1 4 (|y| − 1)) and without slope selection (F (y) = − 1 2 ln(1 + |y|)). We conclude the paper with some preliminary computations that employ the proposed schemes.
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