On Multi-Mesh H-Adaptive Methods

  • Authors:

  • Ruo Li

  • Affiliations:

  • LMAM and School of Mathematical Sciences, Peking University, P.R. China

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2005

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Abstract

Solutions of many practical problems involve several components which have different natures and/or different locations of singularity. As a result, a single mesh may not be able to achieve satisfactory adaptation result. In this paper, a new adaptive mesh implementation strategy using multiple meshes is developed, which is especially useful for problems whose solution components exhibit different singularity behaviors. We describe the basic ideas and ingredients of the multi-mesh adaptive methods. Numerical results for solving partial differential equations and optimal control problems are presented to demonstrate the advantages of the multi-mesh approach