\(k\)th order convergence for a semilinear elliptic boundary value problem in the divergence form (Q546023)
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scientific article; zbMATH DE number 5912664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(k\)th order convergence for a semilinear elliptic boundary value problem in the divergence form |
scientific article; zbMATH DE number 5912664 |
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\(k\)th order convergence for a semilinear elliptic boundary value problem in the divergence form (English)
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24 June 2011
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The convergence problem of approximate solutions for a semilinear elliptic boundary value problem in the divergence form is studied. By employing the method of quasilinearization, a sequence of approximate solutions converging with the \(k\)th (\(k \geqslant 2\)) order convergence to a weak solution for a semilinear elliptic problem is obtained via the variational approach.
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semilinear elliptic boundary value problem
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divergence form
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generalized quasilinearization
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variational approach
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\(k\)th order convergence
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weak solution
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0.9750493
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0.89337575
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0.8792641
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0.8776014
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