@article{papez:hal-01662944, TITLE = {{Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach. Recovering mass balance in any situation}}, AUTHOR = {Pape{\v z}, Jan and R{\"u}de, Ulrich and Vohral{\'i}k, Martin and Wohlmuth, Barbara I}, URL = {https://inria.hal.science/hal-01662944}, JOURNAL = {{Computer Methods in Applied Mechanics and Engineering}}, PUBLISHER = {{Elsevier}}, VOLUME = {371}, PAGES = {113243}, YEAR = {2020}, MONTH = Aug, DOI = {10.1016/j.cma.2020.113243}, KEYWORDS = {Finite volume method ; Iterative algebraic solver ; Discretization error ; Algebraic error ; A posteriori error estimate ; Stopping criterion ; p-robustness ; Hiierarchical splitting ; Mass balance ; Porous media flow}, PDF = {https://inria.hal.science/hal-01662944v5/file/MG_FE.pdf}, HAL_ID = {hal-01662944}, HAL_VERSION = {v5}, }