By Mario Bebendorf
Hierarchical matrices are an effective framework for large-scale totally populated matrices coming up, e.g., from the finite point discretization of resolution operators of elliptic boundary worth difficulties. as well as storing such matrices, approximations of the standard matrix operations will be computed with logarithmic-linear complexity, which might be exploited to setup approximate preconditioners in an effective and handy manner. along with the algorithmic elements of hierarchical matrices, the most objective of this ebook is to give their theoretical background.
The publication includes the present approximation idea for elliptic difficulties together with partial differential operators with nonsmooth coefficients. moreover, it provides in complete aspect the adaptive move approximation approach for the effective therapy of imperative operators with non-local kernel features. the idea is supported by means of many numerical experiments from genuine applications.
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Extra info for Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems: 63 (Lecture Notes in Computational Science and Engineering)
Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems: 63 (Lecture Notes in Computational Science and Engineering) by Mario Bebendorf