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Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems
Published online by Cambridge University Press: 15 April 2002
Abstract
We first prove an abstract result for a class of nonlocal problems using fixed point method. We apply this result to equations revelant from plasma physic problems. These equations contain terms like monotone or relative rearrangement of functions. So, we start the approximation study by using finite element to discretize this nonstandard quantities. We end the paper by giving a numerical resolution of a model containing those terms.
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 2: Special issue for R. Teman's 60th birthday , March 2000 , pp. 477 - 499
- Copyright
- © EDP Sciences, SMAI, 2000
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