Hybrid Nitsche method for distributed computing
Abstract
Abstract We extend a distributed finite element method built upon model order reduction to arbitrary polynomial degree using a hybrid Nitsche scheme. The new method considerably simplifies the transformation of the finite element system to the reduced basis for large problems. We prove that the error of the reduced Nitsche solution converges optimally with respect to the approximation order of the finite element spaces and linearly with respect to the dimension reduction parameter. Numerical tests with nontrivial tetrahedral meshes using second-degree polynomial bases support the theoretical results.
Fields of Study & Subjects
Model Reduction and Neural Networks
Advanced Numerical Methods in Computational Mathematics
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- BIT Numerical Mathematics
- Volume
- 66
- Issue
- 1
- Publication date
- 2 February 2026
- Language
- EN