4 papers
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…
A Tensor-Train Discontinuous Galerkin Method for the Vlasov-Maxwell System
Rujeko Chinomona, Dibyendu Adak, William J. Barham +4
We present a tensor-train discontinuous Galerkin (TT-DG) formulation for the Vlasov--Maxwell system that combines a modal DG discretization with low-rank tensor representations of…
Space-Time Spectral Collocation Tensor-Network Approach for Maxwell's Equations
Dibyendu Adak, Rujeko Chinomona, Duc P. Truong +3
In this work, we develop a space--time Chebyshev spectral collocation method for three-dimensional Maxwell's equations and combine it with tensor-network techniques in Tensor-Train…
A Tensor Train-Based Isogeometric Solver for Large-Scale 3D Poisson Problems on Complex Geometries
Quoc Thai Tran, Duc P. Truong, Kim Ø. 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…