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Research Article
A study of some new inequalities for Galerkin method for model diffusion problem and finite element basis
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Received: ,
Accepted: ,
Copyright: © Journal of Qassim University for Science
Disclaimer:
This article was originally published by Qassim University and was migrated to Scientific Scholar after the change of Publisher.
This article was originally published by Qassim University and was migrated to Scientific Scholar after the change of Publisher.
Abstract
Our work is concerned to Galerkin projection method for numerical solution of partial differential equations (PDEs). In particular those which include polynomial basis function and finite element basis. Polynomial basis function should be avoided and the reason behind that is presented. Also, we will see that Galerkin method plays an important role on integrals of functions that can easy be evaluated on the domain. In addition, Galerkin method presents high-order approximation. Smart problems are presented for clarification and signification on their properties, and proof of some tricky inequalities