Improving the stability of time domain dual boundary element method for three dimensional fracture problems: A time weighting approach

This paper deals with the stability of time domain dual boundary element method (DBEM). A time-weighted time domain DBEM is presented in this study and used for the first time in order to improve the stability of the standard time domain dual boundary element method. In this research a time weighting function with a prediction algorithm based on constant velocity algorithm has been utilized. The present approach was tested for three-dimensional fracture problems. The computer cost for the time of the presented approach is very close to the standard form. The results of numerical experiments carried out within this study indicate that the time weighting method, which is suggested for time domain DBEM, has more stability in comparison with the conventional method.

► This paper deals with the stability of time domain dual boundary element method (TDBEM).
► A time-weighted algorithm is presented in order to improve the stability of the standard TDBEM.
► A time weighting function based on constant velocity algorithm is tested for 3D fracture problems.
► The computer cost for the time of the presented approach is very close to standard form.
► The results indicate the method has more stability in comparison with the conventional method.