High-order Sobolev preconditioning

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High-order Sobolev preconditioning

Richardson, Walter B.

Nonlinear analysis, 11/2005, Volume: 63, Issue: 5

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This paper compares the use of first- and second-order Sobolev gradients to solve differential equations using the method of least-squares steepest descent. The use of high-order Sobolev gradients offers a very effective preconditioning strategy for the linear part of a nonlinear differential equation.

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