Implementation and application of elastodynamic boundary element discretizations with improved stability properties

摘要: Direct and indirect time marching boundary element methods often become numerically unstable. Evidence of, reasons for, these instabilities is provided in this paper. Two new stepping schemes are presented, both of which more stable than the existing standard available. In particular, we introduce Half‐step scheme, accurate far methods. This demonstrated on a simple crack problem for displacement discontinuity method, can also be introduced into direct method. Implementation scheme codes will allow researchers to attack challenging problems before.