3 papers
math.NA2026
Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Pablo Brubeck, Charles Parker, Umberto Zerbinati
When discretizing symmetric stress tensors in variational problems arising in continuum mechanics, one has to choose how to enforce the symmetry of the stress tensor: (i) strongly…
math.NA2025
Preconditioned normal equations for solving discretised partial differential equations
Lorenzo Lazzarino, Yuji Nakatsukasa, Umberto Zerbinati
This paper explores preconditioning the normal equation for non-symmetric square linear systems arising from PDE discretization, focusing on methods like CGNE and LSQR. The concept…
math.NA2024
An adaptive mesh refinement strategy to ensure quasi-optimality of finite element methods for self-adjoint Helmholtz problems
Tim van Beeck, Umberto Zerbinati
It is well known that the quasi-optimality of the Galerkin finite element method for the Helmholtz equation is dependent on the mesh size and the wave-number. In the literature, di…