3 papers
math.NA2026
Isogeometric Analysis for Explicit Wave Propagation in Poroelastic Media
Maarten M. Hodzelmans, René R. Hiemstra, Joris J. C. Remmers +1
For higher-order discretizations of explicit dynamics problems, Isogeometric Analysis (IGA) has several favorable properties as compared to classical Finite Element Analysis (FEA).…
math.NA2026
Wigner-Eckart Factorization of the Spectral Boltzmann Collision Operator
René R. Hiemstra, Torsten KeÃler, Michael R. A. Abdelmalik
We reduce the eight-dimensional weak form of the bilinear Boltzmann collision operator to a five-dimensional kinematic core by rigidly rotating the laboratory frame to align with t…
cs.CE2025
A locking-free isogeometric thin shell formulation based on higher order accurate diagonalized strain projection via approximate dual splines
Thi-Hoa Nguyen, René R. Hiemstra, Dominik Schillinger
We present a novel isogeometric discretization approach for the Kirchhoff-Love shell formulation based on the Hellinger-Reissner variational principle. For mitigating membrane lock…