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[00722] Scalar auxiliary variable schemes for Cahn-Hilliard systems with mass source

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : The scalar auxiliary variable approach presents a novel way to discretize a large class of dissipative systems. We consider a general Cahn-Hilliard system with mass source that may not admit a known dissipative structure, and so the stability of discrete solutions is not immediate. With a bounded mass source, we show stability and convergence of time discrete solutions for a first-order scheme, and apply our ideas to systems in tumour growth, image inpainting and segmentation.
  • Classification : 35K35, 35K55, 65M12, 65Z05
  • Format : Talk at Waseda University
  • Author(s) :
    • Andrew Lam (Hong Kong Baptist University)
    • Ru Wang (Hong Kong Baptist University)