Computation and Visualization of Geometric Partial Differential Equations - Hardcover

Tiee, Christopher

 
9781329440739: Computation and Visualization of Geometric Partial Differential Equations
Hardcover
ISBN 10: 1329440730 ISBN 13: 9781329440739
Verlag: Lulu.com, 2015

Inhaltsangabe

This is an extended version of my PhD thesis which extends the theory of finite element exterior calculus (FEEC) to parabolic evolution equations. In the extended version, I explore some more precise visualizations of the defined quantities, as well as explain how the modern theory of functional analysis applies. In the main part, I extend the theory of approximating evolution equations in Euclidean space (using FEEC) to hypersurfaces. After these main results, I describe some possible extensions to nonlinear equations. A few appendices detail one of the original motivations for getting into this theory in the first place: canonical geometries given as steady state solutions and extremals of certain functionals.

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Verlag
Lulu.com
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
1329440730
ISBN 13 
9781329440739
Einband
Gebundene Ausgabe
Anzahl der Seiten
302
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Verantwortliche Person
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