A Fast Direct Solver for the Advection-Diffusion Equation Using Low-Rank Approximation of the Green’s Function

Advection Diffusion ◽

Fast Direct Solver ◽

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016) ◽

A DIRECT SOLVER FOR THE ADVECTION-DIFFUSION EQUATION USING GREEN’S FUNCTIONS AND LOW-RANK APPROXIMATION

10.7712/100016.2335.5822 ◽

2016 ◽

Author(s):

Jonathan Bull ◽

Sverker Holmgren ◽

Stefan Engblom

Keyword(s):

Diffusion Equation ◽

Green's Functions ◽

Green’S Functions ◽

Low Rank ◽

Low Rank Approximation ◽

Direct Solver ◽

Advection Diffusion ◽

Analytical solution of advection–diffusion equation in heterogeneous infinite medium using Green’s function method

Journal of Earth System Science ◽

10.1007/s12040-016-0756-0 ◽

2016 ◽

Vol 125 (8) ◽

pp. 1713-1723 ◽

Cited By ~ 9

Author(s):

ABHISHEK SANSKRITYAYN ◽

NAVEEN KUMAR

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Function Method ◽

Infinite Medium ◽

Green’S Function Method ◽

Advection Diffusion

Low rank approximation method for efficient Green's function calculation of dissipative quantum transport

Journal of Applied Physics ◽

10.1063/1.4809638 ◽

2013 ◽

Vol 113 (21) ◽

pp. 213707 ◽

Cited By ~ 9

Author(s):

Lang Zeng ◽

Yu He ◽

Michael Povolotskyi ◽

XiaoYan Liu ◽

Gerhard Klimeck ◽

...

Keyword(s):

Green’S Function ◽

Quantum Transport ◽

Green's Function ◽

Approximation Method ◽

Low Rank ◽

Low Rank Approximation ◽

Function Calculation ◽

The Relationship between the Transilient Matrix and the Green’s Function for the Advection-Diffusion Equation

Journal of the Atmospheric Sciences ◽

10.1175/1520-0469(1999)056<2447:trbttm>2.0.co;2 ◽

1999 ◽

Vol 56 (14) ◽

pp. 2447-2453 ◽

Cited By ~ 5

Author(s):

Vincent E. Larson

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Advection Diffusion ◽

The Relationship

Parallel Computations for Solving 3D Helmholtz Problem by Using Direct Solver with Low-Rank Approximation and HSS Technique

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_37 ◽

2017 ◽

pp. 342-349 ◽

Cited By ~ 1

Author(s):

Boris Glinskiy ◽

Nikolay Kuchin ◽

Victor Kostin ◽

Sergey Solovyev

Keyword(s):

Parallel Computations ◽

Low Rank ◽

Low Rank Approximation ◽

Direct Solver ◽

Helmholtz Problem ◽

Analytical Solution for the Transient Two-Dimensional Advection-Diffusion Equation Considering Nonlocal Closure of the Turbulent Diffusion

Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer ◽

10.1615/ichmt.2006.turbulheatmasstransf.1530 ◽

2006 ◽

Author(s):

Davidson M. Moreira ◽

Marco Tulio de Vilhena ◽

D. Buske ◽

Tiziano Tirabassi

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Turbulent Diffusion ◽

Two Dimensional ◽

Advection Diffusion

Tensor Recovery via Nonconvex Low-Rank Approximation

2020 28th European Signal Processing Conference (EUSIPCO) ◽

10.23919/eusipco47968.2020.9287404 ◽

2021 ◽

Author(s):

Lin Chen ◽

Xue Jiang ◽

Xingzhao Liu ◽

Zhixin Zhou

Keyword(s):

Low Rank ◽

Low Rank Approximation ◽

Tensor Recovery ◽

Improved MR image denoising via low- rank approximation and Laplacian-of-Gaussian edge detector

IET Image Processing ◽

10.1049/iet-ipr.2019.1648 ◽

2020 ◽

Vol 14 (12) ◽

pp. 2791-2798

Author(s):

Xiaoqun Qiu ◽

Zhen Chen ◽

Saifullah Adnan ◽

Hongwei He

Keyword(s):

Image Denoising ◽

Low Rank ◽

Edge Detector ◽

Low Rank Approximation ◽

Mr Image ◽

Global Green's function estimates for the convection–diffusion equation

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2020.1857368 ◽

2020 ◽

pp. 1-30

Author(s):

Yurij Alkhutov ◽

Mikhail Surnachev

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Convection Diffusion ◽

Convection Diffusion Equation

Robust topology optimization with low rank approximation using artificial neural networks

Computational Mechanics ◽

10.1007/s00466-021-02069-3 ◽

2021 ◽

Author(s):

Vahid Keshavarzzadeh ◽

Robert M. Kirby ◽

Akil Narayan

Keyword(s):

Neural Networks ◽

Artificial Neural Networks ◽

Topology Optimization ◽

Low Rank ◽

Low Rank Approximation ◽

Robust Topology Optimization ◽

Rank Approximation ◽

Artificial Neural