@article{dong:hal-03107210, TITLE = {{Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem}}, AUTHOR = {Dong, Zhaonan and Mascotto, Lorenzo and Sutton, Oliver J}, URL = {https://inria.hal.science/hal-03107210}, JOURNAL = {{SIAM Journal on Numerical Analysis}}, PUBLISHER = {{Society for Industrial and Applied Mathematics}}, VOLUME = {59}, NUMBER = {3}, PAGES = {1273--1298}, YEAR = {2021}, MONTH = May, DOI = {10.1137/20M1364114}, KEYWORDS = {hp-Galerkin methods ; Adaptivity ; Discontinuous Galerkin methods ; Fourth order PDEs ; A posteriori error analysis ; Polynomial inverse estimates ; fourth order PDEs ; a posteriori error analysis}, PDF = {https://inria.hal.science/hal-03107210v2/file/p%20and%20hp%20aposteriori%20analysis%20of%20IPdG%20for%20biharmonic%20problems.pdf}, HAL_ID = {hal-03107210}, HAL_VERSION = {v2}, }