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math.NA2026
Tensor-Train Methods for 3D Linear Elasticity: Block and Global Operator Representations with Solver Performance Analysis
Quoc Thai Tran, Duc P. Truong, William Dai +1
This work develops tensor-train (TT) formulations for solving large-scale three-dimensional linear elasticity problems discretized by isogeometric analysis. By exploiting the tenso…
math.NA2025
A Tensor Train-Based Isogeometric Solver for Large-Scale 3D Poisson Problems on Complex Geometries
Quoc Thai Tran, Duc P. Truong, Kim Ã. Rasmussen +1
We introduce a three-dimensional (3D) fully tensor train (TT)-assembled isogeometric analysis (IGA) framework, TT-IGA, for solving partial differential equations (PDEs) on complex…