An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability

• Published in: Engineering analysis with boundary elements Vol. 120; pp. 118 - 152
• Main Authors: Cheng, Alexander H.D., Hong, Yongxing
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2020
• Subjects: Boundary element method; Collocation; Effective condition number; Error estimate; Inverse problem; Meshless method; Method of fundamental solutions; Nonsingular MFS; Spurious frequency; Nonsingular MFS; Collocation; Method of fundamental solutions; Meshless method; Error estimate; Spurious frequency; Effective condition number; Boundary element method; Inverse problem

In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a heuristic numerical method. It is truly meshless. Its concept and numerical implementation are simple. It has the flexibility of using various forms of fundamental solutions, singular, hypersingular, or nonsingular,...