Localized MFS for three‐dimensional acoustic inverse problems on complicated domains

Abstract This paper proposes a semi‐analytical and local meshless collocation method, the localized method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic inverse problems in complex domains. The proposed approach is recently developed numerical scheme with potential being mathematically simple, numerically accurate, requiring less computational time storage. In LMFS, an overdetermined sparse linear system constructed by using known data at nodes on accessible boundary making remaining satisfy governing equation. procedure, pseudoinverse matrix solved via truncated singular value decomposition, thus regularization techniques are not needed solving resulting well‐conditioned matrix. Numerical experiments, involving complicated geometry high noise level, confirm effectiveness performance LMFS for 3D problems.