A convergent adaptive spline based finite element method for the biLaplace operator using Nitsches method
arXiv:1803.09806h-index: 3
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Provides a theoretical convergence guarantee for adaptive spline methods in fourth-order elliptic problems, which is incremental for numerical analysis.
The paper proves convergence of an adaptive spline-based finite element method for the biLaplace operator with weakly imposed Dirichlet boundary conditions using polynomial B-splines.
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 Bsplines.