A convergent boundary-condition conforming adaptive spline-based finite element method for the bi-Laplace operator
arXiv:1812.08339h-index: 3
Originality Synthesis-oriented
AI Analysis
Provides theoretical convergence guarantees for a specific adaptive method in numerical analysis of fourth-order PDEs, which is an incremental contribution.
The paper proves convergence of an adaptive spline-based finite element method for the bi-Laplace operator, a fourth-order elliptic problem. No numerical results are provided.
We establish the convergence of an adaptive spline-based finite element method of a fourth order elliptic problem.