A Priori Error Estimates In Energy Norm

Article English OPEN
Kaur, Brehmit (2013)
  • Publisher: Journal of Engineering Computers & Applied Sciences
  • Journal: Journal of Engineering Computers & Applied Sciences (issn: 2319-5606, eissn: 2319-5606)
  • Subject: Engineering; Physical Science and Technology | Energy Norm,Symmetric and Nonsymmetric operators and Poincare-Friedich inequality

In this paper, the goal is to ?nd the bounds for the error u-h_ in the ?nite element approximation of the solution u to the general problem. In such estimates the error analysis gives information about the size of the error, depending on the (unknown) exact solution u, before any computational steps. The ?rst step is how to measure the error, that is, which norm to use. It has already demonstrated that the energy norm ||.|| is more convenient than the other norms.
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