Time space domain decomposition for reactive transport | Zendy

Florian Haeberlein | Zendy; Anthony Michel | Zendy; Filipa Caetano | Zendy

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Time space domain decomposition for reactive transport

Author(s) -

Florian Haeberlein,

Anthony Michel,

Filipa Caetano

Publication year - 2010

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2010.04.081

Subject(s) - computer science , convergence (economics) , domain decomposition methods , relaxation (psychology) , mathematics , mathematical optimization , waveform , coupling (piping) , rate of convergence , partial differential equation , fourier transform , domain (mathematical analysis) , time domain , upper and lower bounds , frequency domain , mathematical analysis , finite element method , key (lock) , physics , mechanical engineering , psychology , social psychology , telecommunications , radar , computer security , engineering , economics , computer vision , thermodynamics , economic growth

In this paper, we apply a Schwarz waveform relaxation method to a two-species reactive transport system. By Fourier analysis we find optimal coupling conditions that result in pseudo-differential operators. We approximate these operators by differential operators and give an upper bound for the convergence rate. By this technique a best approximation problem arises that is solved numerically. We finally obtain an optimised transmission condition that we will analyse numerically.This result is a first important theoretical issue for the application of domain decomposition methods to large coupled systems of reactive transport equations and has a great implication on the global performance of the numerical approach

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