TetraFEM: Numerical Solution of Partial Differential Equations Using Tensor Train Finite Element Method

TetraFEM: Numerical Solution of Partial Differential Equations Using Tensor Train Finite Element Method

In this paper, we present a methodology for the numerical solving of partial differential equations in 2D geometries with piecewise smooth boundaries via finite element method (FEM) using a Quantized Tensor Train (QTT) format. During the calculations, all the operators and data are assembled and rep...

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Bibliographic Details
Main Authors: Egor Kornev, Sergey Dolgov, Michael Perelshtein, Artem Melnikov
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Mathematics
Subjects:
tensor decompositions
tensor trains
finite element analysis
partial differential equations
incompressible Navier–Stokes equations
Online Access:https://www.mdpi.com/2227-7390/12/20/3277

Internet

https://www.mdpi.com/2227-7390/12/20/3277

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