２次元波動方程式の時間域境界積分法の安定性について

抄録

This study considers the stability of time domain BIEMs for the wave equation in 2D. We show that the stability of time domain BIEMs is reduced to a nonlinear eigenvalue problem related to frequency domain integral equations. The sign of imaginary parts of eigenvalues determines the stability of time domain BIEs. We confirm this conclusion with some numerical experiments.