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.
|Number of pages||19|
|Journal||Acta Mathematica Hungarica|
|Publication status||Published - Dec 1 2001|
- Gradient method
- Nonlinear elliptic problems
- Sobolev space
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