On the Gradient Method for Some Nonlinear Elliptic Boundary Value Problems |
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| Authors: | J. Karátson |
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| Affiliation: | 1. Department of Applied Analysis, E?tv?s Loránd University, H-1053, Budapest Kecskeméti U. 10-12, Hungary e-mail
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| Abstract: | The infinite-dimensional gradient method is applied to the iterative solution of quasilinear elliptic boundary value problems. Earlier results on uniformly monotone problems are extended to a general case within the scope of Hilbert space well-posedness. Linear convergence is proved in Sobolev norm. This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | gradient method Sobolev space nonlinear elliptic problems |
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