An Adaptive Stabilized Finite Element Method Based on Residual Minimization for Unsteady Advection-diffusion Problems

== Abstract ==

We introduce a novel adaptive-stabilized finite element method for unsteady advection dominant problems. We built a discrete scheme by performing a residual minimization at every time step, to an ad-hoc modification of a discrete formulation obtained from the coupling of an implicit time-marching scheme and a DG formulation in space. As a result, we obtain a stable solution and a residual estimative at every discrete time level. This residual estimative can be employed to guide mesh refinement, implying a considerable reduction in the computational effort required for implicit schemes.
                                                                                                
== Video ==
{{#evt:service=cloudfront|id=258452|alignment=center|filename=131.mp4}}
                                                
== Document ==
<pdf>Media:Draft_Content_838946765A_IDC6_131.pdf</pdf>