Department of Mathematics
High order local absorbing boundary conditions for heat equations in unbounded domains
With the development of numerical methods the numerical computations require higher and higher accuracy. This paper is devoted to the high-order local absorbing boundary conditions (ABCs) for heat equation. We proved that the coupled system yields a stable problem between the obtained high-order local ABCs and the partial differential equation in the computational domain. This method has been used widely in wave propagation models only recently. We extend the spirit of the methodology to parabolic ones, which will become a basis to design the local ABCs for a class of nonlinear PDEs. Some numerical tests show that the new treatment is very efficient and tractable. © 2011 by AMSS, Chinese Academy of Sciences.
Absorbing boundary conditions, Heat equation, High-order method, Parabolic problems in unbounded domains
Source Publication Title
Journal of Computational Mathematics -International Edition-
Link to Publisher's Edition
Wu, X., & Zhang, J. (2010). High order local absorbing boundary conditions for heat equations in unbounded domains. Journal of Computational Mathematics -International Edition-, 29 (1), 74-90. https://doi.org/10.4208/jcm.1004-m3195