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Published in:
2003 | OriginalPaper | Chapter
Concluding Remarks
Author : Marc Alexander Schweitzer
Published in: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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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 $$V_i^{p_i^a} = span\left\langle {\left\{ {\psi _i^n,\Phi } \right\}} \right\rangle$$.