4 papers
Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes
Leon D. da Silva, Marcelo P. Santos, José D. da Silva +1
We establish a universal block-diagonalization framework for Discrete Exterior Calculus (DEC) operators on symmetric meshes, enabling embarrassingly parallel solvers with provable…
Point-group filtering in unitary coupled-cluster ansätze: exact criticality under the Abelian filter, freeness measured near equilibrium under the full group
Leon D. da Silva, Marcelo P. Santos, Md. Zubair
Filtering a unitary coupled-cluster ansatz by molecular point-group symmetry has no settled variational cost for groups with degenerate irreducible representations. We prove that t…
PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems
Leon D. da Silva, Marcelo P. Santos
Despite the prevalence of symmetry in scientific linear systems, these structural properties are often underutilized by standard computational software. This paper introduces PySym…
Decomposition of Symmetrical Classes of Central Configurations
Marcelo P. Santos, Leon D. da Silva
We study central configurations when the set of positions is symmetric. We use a theorem from representation theory of finite groups to explore the symmetry properties of equations…