Title :
Domain Decomposition for a linear advection-diffusion equation by means of minimax filtering
Author :
Ragnoli, Emanuele ; Zhuk, Sergiy ; Zayats, Mykhaylo ; Hartnett, Michael
Author_Institution :
IBM Res., Dublin, Ireland
Abstract :
In this work a novel strategy that combines Domain Decomposition, Differential Algebraic Equations (DAE) and Minimax Estimation is created to contruct a numerical solution for a linear non stationary advection-diffusion equation. The proposed approach helps to control the error introduced by Domain Decomposition and FEM discretisation and allows to combine observations with solutions of the advection-diffusion equation.
Keywords :
differential algebraic equations; diffusion; marine pollution; oceanographic techniques; sediments; water quality; DAE; FEM discretisation; advection-diffusion equation solution observation; differential algebraic equations; domain decomposition; error control; linear non stationary advection-diffusion equation; minimax estimation; minimax filtering; numerical solution; Boundary conditions; Equations; Estimation error; Finite element analysis; Mathematical model; Numerical models; Vectors;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862554
