Abstract
Accurate evaluation of domain integrals is crucial for the overall accuracy of the boundary element method (BEM), particularly when dealing with dynamic problems and those involving body forces. The radial integration method (RIM) is a well-established and effective technique for computing domain integrals in boundary element analysis. When calculating domain integrals in transient problems, the integrand of time-dependent kernels tends to near-singularity and may oscillate rapidly as the time step decreases. To overcome this issue, an efficient non-linear coordinate transformation, combined with an element subdivision technique, is presented in this paper to enhance the computational accuracy of the domain integrals. Significant improvement in the computational accuracy of domain integrals, particularly with small time steps, can be achieved. Several representative examples are presented and discussed to demonstrate the accuracy and efficiency of the present method.
Published Version
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