## Abstract

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+αfor 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 Lpregularity and the optimal Lperror estimate of the finite element solution for the parabolic equation.

Original language | English |
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Pages (from-to) | 1071-1102 |

Number of pages | 32 |

Journal | Mathematics of Computation |

Volume | 86 |

Issue number | 305 |

DOIs | |

Publication status | Published - 1 Jan 2017 |

## ASJC Scopus subject areas

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

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