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In mathematics, the Robin boundary condition (/ˈrɒbɪn/; properly French:[ʁɔbɛ̃]), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897).[1] When imposed on an ordinary or a partial differential equation, it is a specification of a linear combination of the values of a function and the values of its derivative on the boundary of the domain. Other equivalent names in use are Fourier-type condition and radiation condition.[2]
^Gustafson, K., (1998). Domain Decomposition, Operator Trigonometry, Robin Condition, Contemporary Mathematics, 218. 432–437.
^Logan, J. David, (2001). Transport Modeling in Hydrogeochemical Systems. Springer.
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mathematics, the Robinboundarycondition (/ˈrɒbɪn/; properly French: [ʁɔbɛ̃]), or third type boundarycondition, is a type of boundarycondition, named after...
condition, mixed boundarycondition and Robinboundarycondition are all different types of combinations of the Neumann and Dirichlet boundary conditions....
Dirichlet boundarycondition is imposed on an ordinary or partial differential equation, such that the values that the solution takes along the boundary of the...
functions defined on those portions of the boundary. The mixed boundarycondition differs from the Robinboundarycondition in that the latter requires a linear...
y(x)=2\sin(x).} A boundarycondition which specifies the value of the function itself is a Dirichlet boundarycondition, or first-type boundarycondition. For example...
in the area of thermodynamics. He is known especially for the Robinboundarycondition. The French Academy of Sciences awarded him the Prix Francœur for...
positive-definite matrix defined for each point x in the domain. We impose the Robinboundarycondition − ∑ k , l ν k a k l ∂ u ∂ x l = c ( u − g ) , {\displaystyle -\sum...
of a swimming pool). The bottom example is created by adding a Robinboundarycondition to the beam element, which essentially adds an elastic spring to...
Burgers' equation Types of boundary conditions Dirichlet boundarycondition Neumann boundaryconditionRobinboundarycondition Cauchy problem Various topics...
the planetary boundary layer. Wind speed increases with increasing height above the ground, starting from zero due to the no-slip condition. Flow near the...
related to human bipedalism. . Anatomically, the boundaries of the axilla are: The lower posterior boundary is called the posterior axillary fold and this...
complexity, making him a relatable character with boundaries between his two selves." In the Robin ongoing series, when Drake had fully transitioned into...
problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundarycondition). It is named after Augustin-Louis Cauchy...
regions have the same color. Adjacent means that two regions share a common boundary of non-zero length (i.e., not merely a corner where three or more regions...
t}}=0} This condition depends on the time constant and the amount of time passed since boundary conditions have been imposed. Thus, the condition is fulfilled...
in ecology. Domain boundaries with Dirichlet or Robinboundary conditions. This is potentially important in ecology, where Robin or Dirichlet conditions...
place) "implies an actual passing through the threshold that marks the boundary between two phases, and the term 'liminality' was introduced in order to...
the original on July 19, 2018. Retrieved March 4, 2016. "Boundary Facts". International Boundary Commission. Archived from the original on May 20, 2023...
temperature. The boundarycondition is homogeneous, that is Let us attempt to find a solution which is not identically zero satisfying the boundary conditions...
thin boundary layer detaches itself ("flow separation") from the body at some point, and this is where the wake begins to develop. The boundary layer...
Dirichlet boundary conditions { U t = U x x U ( 0 , t ) = U ( 1 , t ) = 0 (boundarycondition) U ( x , 0 ) = U 0 ( x ) (initial condition) {\displaystyle...
Gill, Robin (2011). Igneous Rocks and Processes: A Practical Guide. Hoboken, New Jersey: Wiley. p. 34. ISBN 978-1-4443-3065-6. Some use a 1% boundary condition...