The Nonconvergence of $$h$$ h -Refinement in Prolate Elements

  title={The Nonconvergence of \$\$h\$\$ h -Refinement in Prolate Elements},
  author={John P. Boyd and Gregor Gassner and Burhan A. Sadiq},
  journal={J. Sci. Comput.},
Prolate elements are a “plug-compatible” modification of spectral elements in which Legendre polynomials are replaced by prolate spheroidal wave functions of order zero. Prolate functions contain a“bandwidth parameter” c ≥ 0 whose value is crucial to numerical performance; the prolate functions reduce to Legendre polynomials for c = 0. We show that the… CONTINUE READING