# Domain decomposition methods for welding problems

Lai, C.-H. ORCID: 0000-0002-7558-6398, Ierotheou, C.S., Palansuriya, C.J. and Pericleous, K.A. ORCID: 0000-0002-7426-9999 (2001) Domain decomposition methods for welding problems. In: 12th International Conference on Domain Decomposition Methods in Sciences and Engineering. ddm.org, pp. 411-419.

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## Abstract

This paper, a 2-D non-linear electric arc-welding problem is considered. It is assumed that the moving arc generates an unknown quantity of energy which makes the problem an inverse problem with an unknown source. Robust algorithms to solve such problems e#ciently, and in certain circumstances in real-time, are of great technological and industrial interest. There are other types of inverse problems which involve inverse determination of heat conductivity or material properties [CDJ63][TE98], inverse problems in material cutting [ILPP98], and retrieval of parameters containing discontinuities [IK90]. As in the metal cutting problem, the temperature of a very hot surface is required and it relies on the use of thermocouples. Here, the solution scheme requires temperature measurements lied in the neighbourhood of the weld line in order to retrieve the unknown heat source. The size of this neighbourhood is not considered in this paper, but rather a domain decomposition concept is presented and an examination of the accuracy of the retrieved source are presented. This paper is organised as follows. The inverse problem is formulated and a method for the source retrieval is presented in the second section. The source retrieval method is based on an extension of the 1-D source retrieval method as proposed in [ILP].

Item Type: Conference Proceedings 12th International Conference on Domain Decomposition Methods in Sciences and Engineering [1] This paper was first presented at the 12th International Conference on Domain Decomposition Methods, held from 25-29 October 1999 in Chiba, Japan. metal welding, algorithms, heat conductivity Q Science > QA Mathematics > QA76 Computer softwareT Technology > TJ Mechanical engineering and machinery School of Computing & Mathematical SciencesSchool of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process AnalysisSchool of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering GroupSchool of Computing & Mathematical Sciences > Computer & Computational Science Research GroupSchool of Computing & Mathematical Sciences > Department of Computer Systems TechnologySchool of Computing & Mathematical Sciences > Department of Mathematical Sciences 02 Mar 2019 15:50 None None None None None http://gala.gre.ac.uk/id/eprint/748