论文信息 - Absorbing boundary conditions for the discretization schemes of the one-dimensional wave equation

Absorbing boundary conditions for the discretization schemes of the one-dimensional wave equation

When computing a partial differential equation, it is often necessary to introduce artificial boundaries. Here we explain a systematic method to obtain boundary conditions for the wave equation in one dimension, fitting to the discretization scheme and stable. Moreover, we give error estimates on the reflected part.

Laurence Halpern | L. Halpern

[1] L. Nirenberg,et al. Lectures on linear partial differential equations , 1973 .

[2] H. Kreiss. Initial boundary value problems for hyperbolic systems , 1970 .

[3] A. Majda,et al. Absorbing boundary conditions for the numerical simulation of waves , 1977 .

[4] Andrew J. Majda,et al. Absorbing Boundary Conditions for Numerical Simulation of Waves , 1977 .

[5] A. Majda,et al. Radiation boundary conditions for acoustic and elastic wave calculations , 1979 .

[6] E. Lindman. “Free-space” boundary conditions for the time dependent wave equation , 1975 .

[7] G. Strang,et al. An Analysis of the Finite Element Method , 1974 .

[8] Andrew J. Majda,et al. Reflection of singularities at the boundary , 1975 .

[9] Björn Engquist,et al. Absorbing boundary conditions for wave-equation migration , 1980 .

[10] Michael Taylor,et al. Reflection of singularities of solutions to systems of differential equations , 1975 .

[11] Andrew J. Majda,et al. Initial‐boundary value problems for hyperbolic equations with uniformly characteristic boundary , 1975 .

[12] O. C. Zienkiewicz,et al. Diffraction and refraction of surface waves using finite and infinite elements , 1977 .

[13] Albert C. Reynolds,et al. Boundary conditions for the numerical solution of wave propagation problems , 1978 .