Convergence of a higher order finite difference scheme for two-phase Stefan problems
Journal of Physics: Conference Series, ISSN: 1742-6596, Vol: 1936, Issue: 1
2021
- 1Captures
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
- Captures1
- Readers1
Conference Paper Description
This work establishes a sufficient condition for convergence of a semi-implicit finite difference scheme with variable space grid of fourth order of accuracy in space, previously set by the authors. The scheme is intended to solve one-dimensional two-phase Stefan problems. The proofs of the above-mentioned results are based on estimates which are obtained and subsequently employed in order to find an upper bound of the discretization error both at phases and the interface. The computational behavior of the scheme under the sufficient condition is corroborated by a series of numerical tests.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85108702568&origin=inward; http://dx.doi.org/10.1088/1742-6596/1936/1/012007; https://iopscience.iop.org/article/10.1088/1742-6596/1936/1/012007; https://dx.doi.org/10.1088/1742-6596/1936/1/012007; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=60b0bffd-6483-4f39-9349-286e81045bc6&ssb=07295288142&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1742-6596%2F1936%2F1%2F012007&ssi=dec7f214-8427-4399-b7f4-b4cdba034dad&ssk=support@shieldsquare.com&ssm=272789249729335171123366093466572802&ssn=c8ec27c0cbdef63842eefef7f9765f78a55e87516380-2ef0-41fb-a3a236&sso=3eb75582-9ca0d869996865a9b781f984db6260e61e259a41a8ee4cc7&ssp=82629114641721466140172166649256311&ssq=18588936019555114351828364896385911686287&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDAwMjBhYWEwYS00NTQ4LTQ3N2UtYjhmZS01YjYxNjE1MDljNjIxNzIxNDI4MzY0MzY4MjMxODMxMjQxLWNmNzc5YWFiMjRiOWMwNmExMTIzMjEiLCJ1em14IjoiN2Y5MDAwODIxNGUxOWMtOWM1ZS00Y2U1LTljYjktYmZhM2JjZGZlMDAxNC0xNzIxNDI4MzY0MzY4MjMxODMxMjQxLTAyYzJiY2E4OTlkZmMwYjAxMTIzMTUiLCJyZCI6ImlvcC5vcmcifQ==
IOP Publishing
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know