A convergent boundary-condition conforming adaptive spline-based finite element method for the bi-Laplace operator

Ibrahim Al Balushi

A convergent boundary-condition conforming adaptive spline-based finite element method for the bi-Laplace operator

Numerical Analysis 2018-12-21 v1

Authors: Ibrahim Al Balushi

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Abstract

We establish the convergence of an adaptive spline-based finite element method of a fourth order elliptic problem.

Keywords

adaptive finite element method spline bi-Laplace operator fourth order elliptic problem convergence

Cite

@article{arxiv.1812.08339,
  title  = {A convergent boundary-condition conforming adaptive spline-based finite element method for the bi-Laplace operator},
  author = {Ibrahim Al Balushi},
  journal= {arXiv preprint arXiv:1812.08339},
  year   = {2018}
}