© 2014 Elsevier Ltd. All rights reserved. We analyze a non-conforming DPG method with discontinuous trace approximation for the Poisson problem in two and three space dimensions. We show its well-posedness and quasi-optimal convergence in the principal unknown. Numerical experiments confirming the theory have been presented previously.
Heuer, N., Karkulik, M., & Sayas, F. J. (2014). Note on discontinuous trace approximation in the practical DPG method. Computers and Mathematics with Applications, 1562-1568. https://doi.org/10.1016/j.camwa.2014.07.006