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Solving Potential Problems Using the Best Approximation Method

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The Best Approximation Method in Computational Mechanics

Abstract

From Eq. (5.2.2), a linear operation equation such as involved in potential problems may be solved using the Best Approximation Method by use of the inner product $$\rm(u,v)= \ \int\limits_\Gamma \ uvd\Gamma + \ \int\limits_\Omega \ Lu \ Lv \ d\Omega$$ (7.1.1) where the integration over Γ includes both the spatial and temporal boundary conditions (i.e., initial conditions in a diffusion problem).

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© 1993 Springer-Verlag London Limited

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Hromadka, T.V. (1993). Solving Potential Problems Using the Best Approximation Method. In: The Best Approximation Method in Computational Mechanics. Springer, London. https://doi.org/10.1007/978-1-4471-2020-9_7

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  • DOI: https://doi.org/10.1007/978-1-4471-2020-9_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2022-3

  • Online ISBN: 978-1-4471-2020-9

  • eBook Packages: Springer Book Archive

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