Pub Date : 2023-03-06DOI: 10.1007/s13137-023-00215-y
Gourav Arora, Rajesh Kumar, Y. Mammeri
{"title":"Homotopy perturbation and adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models","authors":"Gourav Arora, Rajesh Kumar, Y. Mammeri","doi":"10.1007/s13137-023-00215-y","DOIUrl":"https://doi.org/10.1007/s13137-023-00215-y","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"14 1","pages":"1-25"},"PeriodicalIF":1.8,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52684620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01Epub Date: 2023-05-30DOI: 10.1007/s13137-023-00221-0
J G Donohue, B J Florio, A C Fowler
We analyse a model of the phosphorus cycle in the ocean given by Slomp and Van Cappellen (Biogeosciences 4:155-171, 2007. 10.5194/bg-4-155-2007). This model contains four distinct oceanic boxes and includes relevant parts of the water, carbon and oxygen cycles. We show that the model can essentially be solved analytically, and its behaviour completely understood without recourse to numerical methods. In particular, we show that, in the model, the carbon and phosphorus concentrations in the different ocean reservoirs are all slaved to the concentration of soluble reactive phosphorus in the deep ocean, which relaxes to an equilibrium on a time scale of 180,000 y, and we show that the deep ocean is either oxic or anoxic, depending on a critical parameter which we can determine explicitly. Finally, we examine how the value of this critical parameter depends on the physical parameters contained in the model. The presented methodology is based on tools from applied mathematics and can be used to reduce the complexity of other large, biogeochemical models.
Supplementary information: The online version contains supplementary material available at 10.1007/s13137-023-00221-0.
{"title":"The development of deep-ocean anoxia in a comprehensive ocean phosphorus model.","authors":"J G Donohue, B J Florio, A C Fowler","doi":"10.1007/s13137-023-00221-0","DOIUrl":"10.1007/s13137-023-00221-0","url":null,"abstract":"<p><p>We analyse a model of the phosphorus cycle in the ocean given by Slomp and Van Cappellen (Biogeosciences 4:155-171, 2007. 10.5194/bg-4-155-2007). This model contains four distinct oceanic boxes and includes relevant parts of the water, carbon and oxygen cycles. We show that the model can essentially be solved analytically, and its behaviour completely understood without recourse to numerical methods. In particular, we show that, in the model, the carbon and phosphorus concentrations in the different ocean reservoirs are all slaved to the concentration of soluble reactive phosphorus in the deep ocean, which relaxes to an equilibrium on a time scale of 180,000 y, and we show that the deep ocean is either oxic or anoxic, depending on a critical parameter which we can determine explicitly. Finally, we examine how the value of this critical parameter depends on the physical parameters contained in the model. The presented methodology is based on tools from applied mathematics and can be used to reduce the complexity of other large, biogeochemical models.</p><p><strong>Supplementary information: </strong>The online version contains supplementary material available at 10.1007/s13137-023-00221-0.</p>","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"14 1","pages":"12"},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10229728/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9621350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-12DOI: 10.1007/s13137-023-00220-1
E. Burman, Janosch Preuss
{"title":"Unique continuation for the Lamé system using stabilized finite element methods","authors":"E. Burman, Janosch Preuss","doi":"10.1007/s13137-023-00220-1","DOIUrl":"https://doi.org/10.1007/s13137-023-00220-1","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"14 1","pages":"1-36"},"PeriodicalIF":1.8,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42286880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-05DOI: 10.1007/s13137-022-00212-7
M. Kopera, Yao Gahounzo, E. Enderlin, F. Giraldo, W. Maslowski
{"title":"Non-hydrostatic unified model of the ocean with application to ice/ocean interaction modeling","authors":"M. Kopera, Yao Gahounzo, E. Enderlin, F. Giraldo, W. Maslowski","doi":"10.1007/s13137-022-00212-7","DOIUrl":"https://doi.org/10.1007/s13137-022-00212-7","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"14 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44376064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-18DOI: 10.1007/s13137-022-00211-8
C. Nikolopoulos, M. Eden, A. Muntean
{"title":"Multiscale simulation of colloids ingressing porous layers with evolving internal structure","authors":"C. Nikolopoulos, M. Eden, A. Muntean","doi":"10.1007/s13137-022-00211-8","DOIUrl":"https://doi.org/10.1007/s13137-022-00211-8","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45411002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-31DOI: 10.1007/s13137-023-00219-8
Emily A. Baker, S. Manenti, A. Reali, G. Sangalli, L. Tamellini, S. Todeschini
{"title":"Combining noisy well data and expert knowledge in a Bayesian calibration of a flow model under uncertainties: an application to solute transport in the Ticino basin","authors":"Emily A. Baker, S. Manenti, A. Reali, G. Sangalli, L. Tamellini, S. Todeschini","doi":"10.1007/s13137-023-00219-8","DOIUrl":"https://doi.org/10.1007/s13137-023-00219-8","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"14 1","pages":"1-32"},"PeriodicalIF":1.8,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45701688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-27DOI: 10.1007/s13137-022-00209-2
Daniel Y. Le Roux
{"title":"Fourier analysis of the local discontinuous Galerkin method for the linearized KdV equation","authors":"Daniel Y. Le Roux","doi":"10.1007/s13137-022-00209-2","DOIUrl":"https://doi.org/10.1007/s13137-022-00209-2","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"13 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52684590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-14DOI: 10.1007/s13137-023-00236-7
C. Cotter, J. Shipton
{"title":"A compatible finite element discretisation for the nonhydrostatic vertical slice equations","authors":"C. Cotter, J. Shipton","doi":"10.1007/s13137-023-00236-7","DOIUrl":"https://doi.org/10.1007/s13137-023-00236-7","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46253880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-11DOI: 10.1007/s13137-022-00208-3
S. Faghih-Naini, V. Aizinger
{"title":"p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator","authors":"S. Faghih-Naini, V. Aizinger","doi":"10.1007/s13137-022-00208-3","DOIUrl":"https://doi.org/10.1007/s13137-022-00208-3","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"13 1","pages":"1-25"},"PeriodicalIF":1.8,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46741454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-05DOI: 10.1007/s13137-023-00235-8
Francesco A. B. Silva, C. Pagliantini, M. Grepl, K. Veroy
{"title":"A reduced basis ensemble Kalman method","authors":"Francesco A. B. Silva, C. Pagliantini, M. Grepl, K. Veroy","doi":"10.1007/s13137-023-00235-8","DOIUrl":"https://doi.org/10.1007/s13137-023-00235-8","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44539231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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