Abstract
This work is concerned with the development of two boundary element method (BEM) formulations for the solution of one-dimensional scalar wave propagation problems. The first formulation is called TD-BEM, TD meaning time-domain, as it employs a time-dependent fundamental solution. The second formulation is called D-BEM, D meaning domain, and employs the fundamental solution from the static problem. The Houbolt and the Newmark methods are employed for the time-marching in the D-BEM approach. Two examples, constituted of five analyses, are included.
Highlights
Problems in one dimension have the merit of giving the researcher experience and confidence to face more elaborated analysis
The same reasoning followed in the computation of the coefficients of the domain integrals of the TD-boundary element method (BEM) formulation is adopted for the computation of the coefficients in sub-matrices Mbb, Mbd, Mdb, Mdd
The D-BEM formulation presented in this work, for the solution of scalar wave propagation problems, proved to be very efficient, leading to accurate examples
Summary
Problems in one dimension have the merit of giving the researcher experience and confidence to face more elaborated analysis. It is important to state that the main novelty of the present paper falls in the development of the TD-BEM formulation for one-dimensional problems. Another task that deserves mention is the discussion concerning the use of different time-marching schemes in the D-BEM formulation. It is the authors’ opinion that the possibility of development of different BEM formulations for time-domain problems brings, among many questions, the following: which formulation is the best for the problem at hand? The second example contains two analyses with time variable boundary condition
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
