Error Estimates for Finite Element Simulations Using Neural Networks

In this work residual error estimates are constructed using Neural Networks for Finite Element Method. These can be used to do adaptive mesh refinement. Two neural networks are developed the Multilayer Perceptron and the Transformer model. The error estimates are made for 1d poisson equations but the idea will generalise to higher dimensions as...

Residual-based variational multiscale modeling in a discontinuous Galerkin framework

In this work the residual-based variational multiscale method is presented in a discontinuous Galerkin framework. This so-called ‘DG-RVMS’ strategy is developed, extensively verified, and tested on a more complex case.<br/><br/>The proposed DG-RVMS paradigm consists of three principle components. First, the perelement weak form is coupled by...

Residual stress development in a repaired welded connection

Research shows that the fatigue strength of a Very High Strength Steel (VHSS) can be significantly negatively effected by welds in a structure. The fatigue lifetime may be extended after cracking occurs by means of fatigue crack repair. A better insight by means of Finite ElementModelling (FEM) can help in understanding the effects of a repair...