DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs

• Published in: Computers & mathematics with applications (1987) Vol. 80; no. 5; pp. 604 - 616
• Main Author: Ilati, Mohammad
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.09.2020; Elsevier BV
• Subjects: Basis functions; Control function; DMLPG method; Finite element method; Inverse problems; Irregular domains; Mathematical analysis; Meshless methods; Methods; Over specification condition; Parabolic inverse partial differential equations; Polynomials; Shape functions; Over specification condition; Parabolic inverse partial differential equations; Control function; Irregular domains; DMLPG method

This article describes a fast meshless technique, the direct meshless local Petrov–Galerkin (DMLPG) method, for identifying a control function in two-dimensional parabolic inverse PDEs. The DMLPG method is a truly meshless technique that directly approximates the local weak forms. In DMLPG, the loca...