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Long‐time behaviour of absorbing boundary conditions
Author(s) -
Engquist B.,
Halpern L.
Publication year - 1990
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670130302
Subject(s) - mathematics , boundary value problem , partial differential equation , convergence (economics) , mathematical analysis , hyperbolic partial differential equation , boundary (topology) , transient (computer programming) , robin boundary condition , wave equation , field (mathematics) , mixed boundary condition , computer science , pure mathematics , economics , economic growth , operating system
A new class of computational far‐field boundary conditions for hyperbolic partial differential equations was recently introduced by the authors. These boundary conditions combine properties of absorbing conditions for transient solutions and properties of far‐field conditions for steady states. This paper analyses the properties of the wave equation coupled with these new boundary conditions: well‐posedness, dissipativity and convergence in time.