A mesh differential refinement scheme for solving elastic fields of half-space inclusion problems

• The development of a direct solution method for half-space inclusion problems.
• A mesh differential refinement scheme efficiently increases computation versatility.
• The quantitative analysis on the truncation errors for the image-inclusion methods.

This work quantitatively explores the dependence of the truncation errors on computational mesh settings for image-inclusion approaches and proposes a corresponding amendment. The new method is based on FFT algorithms and involves four individual portions. A mesh differential refinement scheme, consisting of independent and flexible selections-combinations of the surface, source, and target domains, is conceived to assist the proposed method. Comparisons of the results produced by the new and conventional mesh schemes demonstrate the significant improvements in computational performances. The new method can facilitate the numerical evaluation of local elastic characteristics caused by distributed inclusions or defects in contacting components.