3 papers
physics.comp-ph2026
Rapidly Convergent Finite-Element Domain Decomposition Method With Two-Channel Transmission Conditions
Furkan Şık, Fernando L. Teixeira, Balasubramaniam Shanker
A novel dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method (DDM) is introduced for solving Maxwell's equations. The proposed method is bui…
physics.comp-ph2026
Hierarchical Finite-Element Analysis of Multiscale Electromagnetic Problems via Sparse Operator-Adapted Wavelet Decomposition
F. Åık, F. L. Teixeira, B. Shanker
In this paper, we present a finite element method (FEM) framework enhanced by an operator-adapted wavelet decomposition algorithm designed for the efficient analysis of multiscale…
physics.comp-ph2025
Sparse Operator-Adapted Wavelet Decomposition Using Polygonal Elements for Multiscale FEM Problems
Furkan Åık, F. L. Teixeira, B. Shanker
We develop a sparse multiscale operator-adapted wavelet decomposition-based finite element method (FEM) on unstructured polygonal mesh hierarchies obtained via a coarsening procedu…