ON THE P-EXTENSION AND HP-EXTENSION OF NEDELEC CURL-CONFORMING ELEMENTS

[摘要] We establish interpolation error estimates for the hp-extension of Nedelec's curl- and divergence-conforming three-dimensional finite elements. Using these interpolation estimates, we investigate the use of higher-order edge finite elements for the linear three-dimensional magnetostatic problem. Our estimates show that the standard mixed method for the magnetostatic problem can be approximated to optimal order in both h and p.

[发布日期] 1994-07-29

[关键词] HP ERROR ESTIMATES;MAGNETOSTATIC PROBLEM;FINITE ELEMENTS