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Introduction

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Book cover Advanced Boundary Element Methods

Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 52))

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Abstract

This chapter gives an introduction to the theory of approximation methods for the solution of operator equations and for the solution of related variational problems. In the first section we formulate the basic approximation problems and their setting.

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References

  1. D. Boffi, F. Brezzi, M. Fortin, Mixed Finite Element Methods and Applications. Springer Series in Computational Mathematics, vol. 44 (Springer, Heidelberg, 2013)

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  2. D. Braess, Finite Elements, 3rd edn. (Cambridge University Press, Cambridge, 2007). Theory, Fast Solvers, and Applications in Elasticity Theory. Translated from the German by L.L. Schumaker

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  3. F. Brezzi, M. Fortin, Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics, vol. 15 (Springer, New York, 1991)

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  4. S. Hildebrandt, E. Wienholtz, Constructive proofs of representation theorems in separable Hilbert space. Commun. Pure Appl. Math. 17, 369–373 (1964)

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Gwinner, J., Stephan, E.P. (2018). Introduction. In: Advanced Boundary Element Methods. Springer Series in Computational Mathematics, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-92001-6_1

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