A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations

作者：

Highlights：

• The stabilized STFE scheme constructed in this paper can achieve high accuracy in both directions of space and time.

• The novel idea,the elliptic projection operators are introduced for error analysis,enrich theoretical analysis on LPS method

• The new method can reduce calculation and simplify theoretical analysis with Lagrange interpolation polynomials in time.

摘要

•The stabilized STFE scheme constructed in this paper can achieve high accuracy in both directions of space and time.•The novel idea,the elliptic projection operators are introduced for error analysis,enrich theoretical analysis on LPS method•The new method can reduce calculation and simplify theoretical analysis with Lagrange interpolation polynomials in time.

论文关键词：Convection-diffusion-reaction equations,Local projection stabilization (LPS) method,Discontinuous Galerkin (DG) method,Space-time finite element (STFE) method,Error estimates

论文评审过程：Received 26 September 2020, Revised 18 December 2020, Accepted 24 December 2020, Available online 12 January 2021, Version of Record 12 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125937