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Titlebook: Conjugate Gradient Algorithms and Finite Element Methods; Michal Křížek,Pekka Neittaanmäki,Roland Glowinski Book 2004 Springer-Verlag Berl

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书目名称Conjugate Gradient Algorithms and Finite Element Methods
编辑Michal Křížek,Pekka Neittaanmäki,Roland Glowinski
视频video
概述Includes supplementary material:
丛书名称Scientific Computation
图书封面Titlebook: Conjugate Gradient Algorithms and Finite Element Methods;  Michal Křížek,Pekka Neittaanmäki,Roland Glowinski Book 2004 Springer-Verlag Berl
描述.The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. ..Via their combinations practitioners have been able to solve complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems...The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing..
出版日期Book 2004
关键词Domain Decomposition; Maxwell‘s equations; Triangulation; algorithm; algorithms; construction; control; dif
版次1
doihttps://doi.org/10.1007/978-3-642-18560-1
isbn_softcover978-3-642-62159-8
isbn_ebook978-3-642-18560-1Series ISSN 1434-8322 Series E-ISSN 2198-2589
issn_series 1434-8322
copyrightSpringer-Verlag Berlin Heidelberg 2004
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Iterative Solution Methods of the Maxwell Equations Using Staggered Grid Spatial Discretization equations (3) and (4) follow from the curl equations (1) and (2) if we suppose that the fields in question were divergence-free at the initial point of time. This means that we must solve only the curl equations applying divergence-free initial conditions for . and ..
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Algebraic differential equations,ite dimensional, whereas in the conjugate gradient method it is finite, though usually high dimensional. We will briefly recall both methods, and then comment on using conjugate gradients to solve the finite elements system.
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