Abstract
In this monograph we have developed a truly meshfree method for the Galerkin discretization of elliptic partial differential equations. The presented partition of unity method not only allows for the approximation of a PDE in a bounded domain Ω⊂ℝd with the classical h-version and p-version approaches but rather supports also the use of locally augmented approximation spaces \(V_i^{p_i^a} = span\left\langle {\left\{ {\psi _i^n,\Phi } \right\}} \right\rangle\).
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© 2003 Springer-Verlag Berlin Heidelberg
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Schweitzer, M.A. (2003). Concluding Remarks. In: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59325-3_7
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DOI: https://doi.org/10.1007/978-3-642-59325-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00351-9
Online ISBN: 978-3-642-59325-3
eBook Packages: Springer Book Archive