Numerical Solutions to the Robin Inverse Problem with Nonnegativity Constraints
Journal of Applied Mathematics and Physics, ISSN: 2327-4352, Vol: 10, Issue: 06, Page: 2015-2025
2022
- 92Usage
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage92
- Downloads89
- Abstract Views3
Article Description
We present iterative numerical methods for solving the inverse problem of recovering the nonnegative Robin coefficient from partial boundary measurement of the solution to the Laplace equation. Based on the boundary integral equation formulation of the problem, nonnegativity constraints in the form of a penalty term are incorporated conveniently into least-squares iteration schemes for solving the inverse problem. Numerical implementation and examples are presented to illustrate the effectiveness of this strategy in improving recovery results.
Bibliographic Details
https://www.scirp.org/journal/doi.aspx?doi=10.4236/jamp.2022.106137; http://dx.doi.org/10.4236/jamp.2022.106137; https://corescholar.libraries.wright.edu/math/418; https://corescholar.libraries.wright.edu/cgi/viewcontent.cgi?article=1421&context=math; https://dx.doi.org/10.4236/jamp.2022.106137; https://www.scirp.org/journal/paperinformation?paperid=118240
Scientific Research Publishing, Inc.
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know