Adaptive Finite Element Method of Lines with Local Mesh Refinement in Maximum Norm Based on Element Energy Projection Method
作者: Si YuanYiyi DongQinyan XingNan Fang
刊名: International Journal of Computational Methods, 2020, Vol.17 (04), pp.18
来源数据库: World Scientific Publishing
DOI: 10.1142/S0219876219500087
关键词: Adaptive analysisMaximum normLocal mesh refinementFinite element method of linesElement energy projection
原始语种摘要: The reliable and efficient self-adaptive analysis is a modern goal of various numerical computations. Most adaptivity methods, however, adopt energy norm to measure errors, which may not be the most natural and convenient means, e.g., for problems with locally singular gradient of displacement. Based on the Element Energy Projection (EEP) super-convergent technique in the Finite Element Method of Lines (FEMOL) which is a general and powerful semi-discrete method, reliable error estimates of displacements in maximum norm can be obtained anywhere on the FEMOL mesh and hence adaptive FEMOL by maximum norm becomes feasible. However, to tackle singularity problems effectively and efficiently, an automatic and flexible local mesh refinement strategy is required to generate meshes of high...
全文获取路径: World Scientific Publishing  (合作)

  • adaptive 适应的
  • projection 投射
  • efficient 有用的
  • singular 奇异的
  • automatic 自动的
  • flexible 接电绳
  • refinement 精制
  • redundant 余的
  • technique 技术
  • local 局部的