TY - JOUR
T1 - Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra
AU - Li, Buyang
AU - Sun, Weiwei
PY - 2017
Y1 - 2017
N2 - The paper is concerned with Galerkin finite element solutions of parabolic equations in a convex polygon or polyhedron with a diffusion coefficient in W1, N+α for some α > 0, where N denotes the dimension of the domain. We prove the analyticity of the semigroup generated by the discrete elliptic operator, the discrete maximal Lp regularity and the optimal Lp error estimate of the finite element solution for the parabolic equation.
AB - The paper is concerned with Galerkin finite element solutions of parabolic equations in a convex polygon or polyhedron with a diffusion coefficient in W1, N+α for some α > 0, where N denotes the dimension of the domain. We prove the analyticity of the semigroup generated by the discrete elliptic operator, the discrete maximal Lp regularity and the optimal Lp error estimate of the finite element solution for the parabolic equation.
UR - http://www.scopus.com/inward/record.url?scp=85016214048&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85016214048&origin=recordpage
U2 - 10.1090/mcom/3133
DO - 10.1090/mcom/3133
M3 - 21_Publication in refereed journal
VL - 86
SP - 1071
EP - 1102
JO - Mathematics of Computation
JF - Mathematics of Computation
SN - 0025-5718
IS - 305
ER -