Leszek Demkowicz

This article summarizes the L p L^{p} -DPG method presented in [18], where only 1D convection-diffusion problems are solved. We apply the same computational techniques to 2D convection-diffusion problems and report additional numerical results herein. Furthermore, we propose an L p L^{p} -DPG method with variable 𝑝 and illustrate it with numerical experiments.