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by Ciro Santilli (@cirosantilli, 37)

Robin boundary condition

 ... Mathematics Area of mathematics Calculus Differential equation Boundary condition Neumann boundary condition
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my 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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  1. Neumann boundary condition
  2. Boundary condition
  3. Differential equation
  4. Calculus
  5. Area of mathematics
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