TY - JOUR
T1 - A Mixed Finite-Element Method on Polytopal Mesh
AU - Lin, Yanping
AU - ye, xiu
AU - zhang, shangyou
N1 - Funding Information:
This research was supported in part by the National Science Foundation Grant DMS-1620016. This work was also supported in parts by HKSAR grant Q81Q and JRI of The Hong Kong Polytechnic University.
Publisher Copyright:
© 2022, Shanghai University.
PY - 2022/3/15
Y1 - 2022/3/15
N2 - In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second-order elliptic problem. We establish optimal order error estimates for velocity and super convergence for pressure. Numerical experiments are conducted for our mixed elements of different orders on 2D and 3D spaces that confirm the theory.
AB - In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second-order elliptic problem. We establish optimal order error estimates for velocity and super convergence for pressure. Numerical experiments are conducted for our mixed elements of different orders on 2D and 3D spaces that confirm the theory.
KW - Mixed finite-element methods
KW - Polytopal mesh
KW - Second-order elliptic problem
UR - http://www.scopus.com/inward/record.url?scp=85132402647&partnerID=8YFLogxK
U2 - 10.1007/s42967-021-00180-z
DO - 10.1007/s42967-021-00180-z
M3 - Journal article
SN - 2661-8893
VL - 4
SP - 1
EP - 12
JO - Communications on Applied Mathematics and Computation
JF - Communications on Applied Mathematics and Computation
IS - 1
ER -