Zimmermann

SERIES SERIES ON STABILITY, STABILITY, VIBRATION VIBRATION AND CONTR CONTROL OL OF SYSTEMS

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Series A

Vo lum e 18

Founder & Editor:

Ardeshir Gu ran

Co-Editors:

M. Cloud & W. B. Zimmerman

Multiphysics Modelling with Finite Element Methods

William B J Zimmerman University of Sheffield, UK

'World Scientific N E W J E R S E Y

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L O N D O N

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S I N G A P O R E

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B E I J I N G '

S H A N G H A I

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H O N G K O N G

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T A I P E I

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C H E N N A I

CONTENTS

About the Author Foreword Introduction to COMSOL Multiphysics W.B.J. Zimm,errnan

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COMSOL Multiphysics and the Basics of Numerical Analysis W.B.J. Zimmerman

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Analyzing Evolution Equations by the Finite Element Method W.B.J. Zimmerman and B.N. Hewakandamby

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Multiphysics W.B.J. Zimmerman

HI

Extended Multiphysics W.B.J. Zimmerman, P.O. Mchedlov-Petrossyan and  G.A. Khomenko

143

Nonlinear Dynamics and Linear System Analysis W.B.J. Zimmerman

173

Changing Geometry: Continuation and Moving Boundaries V.R. Gundabala, W.B.J. Zimmerman and A.F. Routh

213

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Contents

Coupling Variables Revisited: Inverse Problems, Line Integrals, Integral Equations, and Integro-Differential Equations W.B.J. Zimmerman

237

Modeling of Multi-Phase Flow Using the Level Set Method K.B. Deshpande, D. Smith and W.B.J. Zimmerman

277

Modelling of Free Surface Flow Problems with Phase Change — Three Phase Flows T.L. Mann

301

Newtonian Flow in Grooved Microchannels  D.G. Hassell and W.B.J. Zimmerman

313

Electrokinetic Flow W.B.J. Zimmerman and J.M. Machines

323

Plasma Simulations via the Fokker-PIanck Equation  A. Shajii and D. Smith

345

Crevice Corrosion of Steel Under a Disbonded Coating F.M. Song and N. Sridhar 

361

Numerical Simulation of a Magnetohydrodynamic DC Microdevice   J.H.L. Parada and W.B.J. Zimmerman

375

Vector Calculus Fundamentals in COMSOL Multiphysics with Matlab W.B.J. Zimmerman and J.M. Rees

393

Index

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