Elliptic Differential Equations: Theory and Numerical - download pdf or read online
By Wolfgang Hackbusch
This ebook at the same time offers the idea and the numerical remedy of elliptic boundary worth difficulties, due to the fact an realizing of the speculation is critical for the numerical research of the discretisation. It first discusses the Laplace equation and its finite distinction discretisation ahead of addressing the final linear differential equation of moment order. The variational formula including the mandatory heritage from useful research presents the foundation for the Galerkin and finite-element tools, that are explored intimately. A extra complicated bankruptcy leads the reader to the speculation of regularity. person chapters are dedicated to singularly perturbed in addition to to elliptic eigenvalue difficulties. The e-book additionally provides the Stokes challenge and its discretisation for example of a saddle-point challenge taking into consideration its relevance to purposes in fluid dynamics.
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Extra info for Elliptic Differential Equations: Theory and Numerical Treatment (Springer Series in Computational Mathematics)
Elliptic Differential Equations: Theory and Numerical Treatment (Springer Series in Computational Mathematics) by Wolfgang Hackbusch