Sergio Rojas

Stable time-stepping via residual minimization: finite-element and neural-network approximations for transient parabolic problems

We propose a time-stepping minimum-residual (MinRes) framework for transient coercive variational problems, applicable to finite-element and neural-network trial approximations. For the Backward Euler scheme, we measure the residual at each time level in the dual norm induced by the steady test-space norm, scaled by th...