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insight - Finite Element Methods
Data-driven Estimation of Stabilization Parameter in Nitsche's Method
Efficiently estimating the stabilization parameter in Nitsche's method using a data-driven approach offers significant computational advantages over traditional eigenvalue-based methods.
Rate-Optimal Higher-Order Conforming FEM for Biharmonic Eigenvalue Problems on Polygonal Domains
Establishing optimal convergence rates for adaptive finite element schemes in biharmonic eigenvalue problems.
Analysis of Mixed Finite Element Methods for Linear Cosserat Equations
Mixed finite element methods provide stable and convergent solutions for linear Cosserat equations.
Optimal Finite Element Approximation of Unique Continuation
No approximation can converge better than the defined rate without increasing sensitivity to perturbations.
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