A quasi-optimal adaptive spline-based finite element method for the bi-Laplace operator using Nitsche's method
arXiv:1812.08340h-index: 3
Originality Incremental advance
AI Analysis
Provides theoretical convergence guarantees for adaptive isogeometric analysis of fourth-order problems, benefiting computational mechanics and numerical analysis communities.
The authors prove convergence of an adaptive spline-based finite element method for the bi-Laplace equation with weakly imposed Dirichlet boundary conditions using polynomial B-splines, establishing quasi-optimal convergence rates.
We establish the convergence of an adaptive spline-based finite element method of a fourth order elliptic problem with weakly-imposed Dirichlet boundary conditions using polynomial B-splines.