2019/03/07 by Gaëlle Brunet, Brunet, Gaëlle, Maryam Samavaki +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Contact Mechanics and Variational Inequalities #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA) #Numerical methods in inverse problems #cs.NA #math.DG #math.NA
paper · pdf · doi:10.48550/arxiv.1903.02763
openalex publication_date 2019/03/07 · arxiv created 2020/02/21 · arxiv updated 2020/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The defining equations for Killing vector fields and conformal Killing vector fields are overdetermined systems of PDE. This makes it difficult to solve the systems numerically. We propose an approach which reduces the computation to the solution of a symmetric eigenvalue problem. The eigenvalue problem is then solved by finite element techniques. The formulation itself is valid in any dimension and for arbitrary compact Riemannian manifolds. The numerical results which validate the method are given in two dimensional case.