Algebraic Multigrid for the Multi-Ion Transport and Reaction Model – A Physics-Aware Approach

By (author) Peter Thum

Extent: 227 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(January 2013)

ISBN: 9783832532857

5.71 x 8.27 inches

Price: $80.00

In stock

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Synopsis
Contributing Authors

Das Multi-Ionen Transport und Reaktionsmodell wird fur die Simulation von elektrochemischen Prozessen eingesetzt. Das durch das Modell gegebene System partieller Differentialgleichungen (PDE) wird mit Hilfe einer gemischten Residuen-Distribution und Finiten Elemente Methode diskretisiert und mit dem Newton Verfahren linearisiert. Dabei entstehen eine Reihe linearer Gleichungssyteme.Die Dissertation beschreibt ein physikalisch orientiertes algebraisches Mehrgitterverfahren, welches zur effizienten und robusten Losung dieser linearen Gleichungssyteme eingesetzt werden kann. Insbesondere wird auf die Reihenfolge der Variablen und deren Wirkung auf das Glattungsverhalten eingegangen. Bei der Konstruktion der Grobgitterkorrektur werden Aspekte wie eine verletzte Peclet Bedingung und die Nichtlinearitat des PDE Systems beachtet.

By (author) Peter Thum

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Algebraic Multigrid for the Multi-Ion Transport and Reaction Model – A Physics-Aware Approach

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