welding is one of the most important assembling methods which are widely applied in different applications. in service conditions, some of the weld joints which meet defects must be repaired. the residual stresses impress the operation and efficiency of the repair weldment. in this study, the temperature and the residual stress fields were investigated by both the finite element simulation and ...

The convergence of finite element methods for elliptic and parabolic partial differential equations is well-established if source terms are sufficiently smooth. Noting that finite element computation is easily implemented even when the source terms are measure-valued — for instance, modeling point sources by Dirac delta distributions — we prove new convergence order results in two and three dim...

This paper describes a weighted finite-state transducer composition algorithm that generalizes the concept of the composition filter and presents various filters that process epsilon transitions, look-ahead along paths, and push forward labels along epsilon paths. These filters, either individually or in combination, make it possible to compose some transducers much more efficiently in time and...