TY - CHAP
T1 - Some Variants
AU - Cicuttin, Matteo
AU - Ern, Alexandre
AU - Pignet, Nicolas
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2021/1/1
Y1 - 2021/1/1
N2 - The goal of this chapter is to explore some variants of the HHO method devised in Chap. 1 and analyzed in Chap. 2. We first study two variants of the gradient reconstruction operator that will turn useful, for instance, when dealing with nonlinear problems in Chaps. 4 and 7. Then, we explore a mixed-order variant of the HHO method that is useful, for instance, to treat domains with a curved boundary. Finally, we bridge the HHO method to the finite element and virtual element viewpoints.
AB - The goal of this chapter is to explore some variants of the HHO method devised in Chap. 1 and analyzed in Chap. 2. We first study two variants of the gradient reconstruction operator that will turn useful, for instance, when dealing with nonlinear problems in Chaps. 4 and 7. Then, we explore a mixed-order variant of the HHO method that is useful, for instance, to treat domains with a curved boundary. Finally, we bridge the HHO method to the finite element and virtual element viewpoints.
UR - https://www.scopus.com/pages/publications/85119137107
U2 - 10.1007/978-3-030-81477-9_3
DO - 10.1007/978-3-030-81477-9_3
M3 - Chapter
AN - SCOPUS:85119137107
T3 - SpringerBriefs in Mathematics
SP - 35
EP - 49
BT - SpringerBriefs in Mathematics
PB - Springer Science and Business Media B.V.
ER -