Titlebook: Elliptic Differential Equations; Theory and Numerical Wolfgang Hackbusch Book 2017Latest edition Springer-Verlag GmbH Germany 2017 differen

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Tools from Functional Analysis,ction 6.3 introduces dual spaces and dual mappings. Compactness properties are important for statements about the unique solvability. Compact operators and the Riesz–Schauder theory are presented in Section 6.4. The weak formulation . of the boundary-value problem is based on bilinear forms describe

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The Finite-Element Method,imation properties of the subspace (.8.3.2). The finite elements introduced in Section 8.4 form a special finite-dimensional subspace offering many practical advantages. The corresponding error estimates are given in Section 8.5. Generalisations to differential equations of higher order and to non-p