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Robin boundary condition

Ciro Santilli (@cirosantilli, 37) ... Mathematics Area of mathematics Calculus Differential equation Boundary condition Neumann boundary condition
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
Linear combination of a Dirichlet boundary condition and Neumann boundary condition at each point of the boundary.
Examples:
  • heat equation when metal plaque is immersed in a large external environment of fixed temperature.
    In this case, the normal derivative at the boundary is proportional to the difference between the temperature of the boundary and the fixed temperature of the external environment.
    The result as time tends to infinity is that the temperature of the plaque tends to that of the environment.
    Shown a solved example in the FreeFem tutorial: doc.freefem.org/tutorials/thermalConduction.html (github.com/FreeFem/FreeFem-doc/blob/1d5996d8b891fd553fd318321249c2c30f693fc3/source/tutorials/thermalConduction.rst)

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