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Finite Elements and Fast Iterative Solverswith Applications in Incompressible Fluid Dynamics$
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Howard Elman, David Silvester, and Andy Wathen

Print publication date: 2014

Print ISBN-13: 9780199678792

Published to Oxford Scholarship Online: September 2014

DOI: 10.1093/acprof:oso/9780199678792.001.0001

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The Poisson Equation

The Poisson Equation

Chapter:
(p.9) 1 The Poisson Equation
Source:
Finite Elements and Fast Iterative Solvers
Author(s):

Howard C. Elman

David J. Silvester

Andrew J. Wathen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199678792.003.0002

This chapter concerns the statement of the Poisson equation and its weak formulation. This is followed by a description of finite element discretization and properties of the discrete problem.

Keywords:   Poisson equation, finite element discretization, error bounds, matrix properties

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