×

Radiation boundary conditions for the numerical simulation of waves. (English) Zbl 0940.65108

Acta Numerica 8, 47-106 (1999).
The efficient evaluation of accurate radiation boundary conditions for time domain simulations of wave propagation on unbounded spatial domains is considered. More precisely, the theory of exact boundary conditions for constant coefficient time-dependent problems is developed in detail. The theory is used to motivate various approximations and to establish error estimates. Complexity estimates are also derived to compare different accurate treatments. Important problems that remain open are discussed.
For the entire collection see [Zbl 0921.00012].

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L05 Wave equation
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
PDF BibTeX XML Cite