3 papers
math.NA2026
Geometry-Preserving Reduced-Order Modeling via Immersed Tensor Decomposition (ITD)
Lei Zhang, Jiachen Guo, Guowei He +2
Body-fitted finite-element methods deliver high-order accuracy but hinge on a clean, watertight, conforming mesh, a requirement that breaks down for the geometrically imperfect CAD…
math.NA2025
MultiLevel Variational MultiScale (ML-VMS) framework for large-scale simulation
Lei Zhang, Jiachen Guo, Shaoqiang Tang +2
In this paper, we propose the MultiLevel Variational MultiScale (ML-VMS) method, a novel approach that seamlessly integrates a multilevel mesh strategy into the Variational Multisc…
math.NA2025
Time-marching multi-level variational multiscale tensor decomposition algorithm for heat conduction with moving heat source
Xinyi Guan, Jiayi Hu, Lei Zhang +2
In this paper, we propose a time-marching multi-level Variational Multiscale-Tensor Decomposition (VMS-TD) algorithm to solve the heat equation with a moving heat source model that…