PDE’s on surfaces – a diffusive interface approach. (English) Zbl 1113.35092

A new approach to the numerical solution of PDE on surfaces is introduced. The problem is reformulated on a layer domain in one higher dimension. The convergence of the reformulated problem to original PDE is showed.


35K55 Nonlinear parabolic equations
35K65 Degenerate parabolic equations
37E35 Flows on surfaces
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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