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M. BERTALMIO, L. T. CHENG, S. OSHER, and G. SAPIRO, Variational problems and partial differential equations on implicit surfaces: The framework and examples in image processing and pattern formation, J. Comput. Phys., 174 (2001), pp. 759-780.
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55149089918
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Finite element based level set methods for higher order flows
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to appear
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J. Sci. Comput
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A level set approach to anisotropic flows with curvature regularization
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M. BURGER, F. HAUßER, C. STÖCKER, and A. VOIGT, A level set approach to anisotropic flows with curvature regularization, J. Comput. Phys., 225 (2007), pp. 183-205.
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0028409294
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34047103813
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E. FRIED and M. E. GURTIN, A unified treatment of evolving interfaces accounting for small deformations and atomic transport with emphasis on grain-boundaries and epitaxy, Adv.Appl. Mech., 40 (2004), pp. 1-177.
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FRIED, E.1
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M. E. GURTIN and M. E. JABBOUR, Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films, Arch. Ration. Mech. Anal., 163 (2002), pp. 171-208.
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F. HAUßER and A. VOIGT, Facet formation and coarsening modeled by a geometric evolution law for epitaxial growth, J. Crystal Growth, 275 (2005), pp. e47-e51.
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59449095749
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F. HAUßER and A. VOIGT, A geometric Ginzburg-Landau theory for faceted crystals in 1d: From coarsening to chaos through a driving force, Phys. Rev. E, submitted.
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Phys. Rev. E
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HAUßER, F.1
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34249715228
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Surface phase separation and flow in a simple model of multicomponent drops and vesicles
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J. LOWENGRUB, J. J. XU, and A. VOIGT, Surface phase separation and flow in a simple model of multicomponent drops and vesicles, Fluid Dyn. Mater. Proc., 3 (2007), pp. 1-19.
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36849136823
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A. RÄTZ and A. VOIGT, Higher order regularization of anisotropic geometric evolution equations in three dimensions, J. Comput. Theor. Nanosci., 3 (2006), pp. 560-564.
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A. RÄTZ and A. VOIGT, A diffuse-interface approximation for surface diffusion including adatoms, Nonlinearity, 20 (2007), pp. 177-192.
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The effect of kinetics in the surface evolution of thin crystalline films
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C. STÖCKER and A. VOIGT, The effect of kinetics in the surface evolution of thin crystalline films, J. Crystal Growth, 303 (2007), pp. 90-94.
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STÖCKER, C.1
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20344390525
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Adaptive multidimensional simulations: Composite finite elements and signed distance functions, WSEAS Trans
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C. STÖCKER, S. VEY, and A. VOIGT, Adaptive multidimensional simulations: Composite finite elements and signed distance functions, WSEAS Trans. Circuits Syst., 4 (2005), pp. 111-116.
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STÖCKER, C.1
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33847313675
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S. VEY and A. VOIGT, AMDiS-adaptive multidimensional simulations, Comput. Vis. Sci., 10 (2007), pp. 57-67.
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VEY, S.1
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0346640322
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An Eulerian formulation for solving partial differential equations along a moving interface
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J. J. XU and H. K. ZHAO, An Eulerian formulation for solving partial differential equations along a moving interface, J. Sci. Comput., 19 (2003), pp. 573-594.
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