The high-order Absorbing Boundary Condition proposed by Hagstrom and Warburton was applied to various models as the wave equation, dispersive, convected with stratified materials. We propose an other way to expand the use of this condition with Domain Decomposition Method. We apply it here to a Stratified Dispersive Wave Model not just to limit the real unbounded domain but to use a non-overlapping domain decomposition method with the classical Schwarz Waveform Relaxation method using the Absorbing Boundary Condition taken as an approximation of the Transparent Operator for the interface condition. We must add terms to enrich the equations associated to the Absorbing Boundary Condition and compute them with a cumulative process. Numerical examples are used to show the performance of this Domain Decomposition Method.

Hagstrom 和 Warburton 提出的高阶吸收边界条件被应用于各种模型，如波动方程、色散、分层材料对流。我们提出了另一种方法来扩展该条件与域分解方法的使用。我们在这里将其应用于分层色散波模型，不仅是为了限制真正的无界域，而且还使用非重叠域分解方法和经典 Schwarz 波形松弛方法，使用吸收边界条件作为透明算子的近似值界面条件。我们必须添加项来丰富与吸收边界条件相关的方程，并用累积过程计算它们。数值例子用于展示这种域分解方法的性能。