Numerical solution of problems on unbounded domains. a review
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Nonreflecting boundary conditions for the time-dependent wave equation
Journal of Computational Physics
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
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A procedure for the time-domain analysis of gravity dam-reservoir interaction is proposed. The dam and a part of the reservoir with irregular geometry are modeled with finite elements. A high-order doubly asymptotic open boundary condition is developed to model the remaining part of the reservoir simplified as a semi-infinite layer of constant depth. This open boundary is temporally local, stable and converges rapidly as the order increases. It is directly coupled with the commercial software ABAQUS by using a sequential staggered implicit-implicit partition algorithm. Numerical examples demonstrate the high accuracy and long-time stability of the proposed technique.