Application of projection-based interpolation algorithm for non-stationary problem

Abstract

In this paper, we present a solver for non-stationary problems using L 2 projection and h-adaptations. The solver utilizes the Euler time integration scheme for time evolution mixed with projection-based interpolation techniques for solving the L 2 projection problem at every time step. The solver is tested on the model problem of a heat transfer in an L-shape domain. We show that our solver delivers linear computational cost at every time step.