Green's Functions and Finite Elements
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This book elucidates how Finite Element methods look like from the perspective of Greenâs functions, and shows new insights into the mathematical theory of Finite Elements. Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem.
The book systematically introduces the basic concepts how Finite Elements fulfill the strategy of Greenâs functions and how approximating of Greenâs functions. It discusses in detail the discretization error and shows that are coherent with the strategy of âgoal oriented refinementâ. The book also gives much attention to the dependencies of FE solutions from the parameter set of the model.
The book systematically introduces the basic concepts how Finite Elements fulfill the strategy of Greenâs functions and how approximating of Greenâs functions. It discusses in detail the discretization error and shows that are coherent with the strategy of âgoal oriented refinementâ. The book also gives much attention to the dependencies of FE solutions from the parameter set of the model.
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