Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations (Q1942919)
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scientific article; zbMATH DE number 6144973
| Language | Label | Description | Also known as |
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| English | Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations |
scientific article; zbMATH DE number 6144973 |
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Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations (English)
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14 March 2013
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The authors improve their multilevel augmentation method (MAM) previously analyzed in Part I [SIAM J. Numer. Anal. 49, No. 6, 2231--2255 (2011; Zbl 1236.65147)]. They use a product integration scheme in order to accurately evaluate the singular integrals involved in the matrices of MAM. Then, they introduce an efficient approximation technique in implementing the usual Newton scheme which avoids repeated computation in Jacobian matrices. Some numerical experiments are carried out in order to underline the accuracy as well as the efficiency of the modified MAM.
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multilevel augmentation method
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nonlinear boundary integral equations
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singular integrals
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integration schemes
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modified Newton iterations
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optimal convergence order
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computational efficiency
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numerical experiments
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