M. Ballesio, Joakim Beck, Anamika Pandey, L. Parisi, E. von Schwerin, R. Tempone
{"title":"Multilevel Monte Carlo acceleration of seismic wave propagation under uncertainty","authors":"M. Ballesio, Joakim Beck, Anamika Pandey, L. Parisi, E. von Schwerin, R. Tempone","doi":"10.1007/s13137-019-0135-5","DOIUrl":"https://doi.org/10.1007/s13137-019-0135-5","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-019-0135-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42853358","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}
{"title":"A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry","authors":"Max Kontak, V. Michel","doi":"10.1007/s13137-018-0110-6","DOIUrl":"https://doi.org/10.1007/s13137-018-0110-6","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"9 1","pages":"167 - 198"},"PeriodicalIF":1.8,"publicationDate":"2018-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-018-0110-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52683852","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}
{"title":"Convolutions on the sphere: commutation with differential operators","authors":"H. Aluie","doi":"10.1007/s13137-019-0123-9","DOIUrl":"https://doi.org/10.1007/s13137-019-0123-9","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"10 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-019-0123-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42762367","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}
{"title":"Inverse gravimetry: background material and multiscale mollifier approaches","authors":"W. Freeden, M. Nashed","doi":"10.1007/s13137-018-0103-5","DOIUrl":"https://doi.org/10.1007/s13137-018-0103-5","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"9 1","pages":"199 - 264"},"PeriodicalIF":1.8,"publicationDate":"2018-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-018-0103-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52683831","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}
{"title":"Simulation of settlement and bearing capacity of shallow foundations with soft particle code (SPARC) and FE.","authors":"Barbara Schneider-Muntau, Iman Bathaeian","doi":"10.1007/s13137-018-0109-z","DOIUrl":"https://doi.org/10.1007/s13137-018-0109-z","url":null,"abstract":"<p><p>In this study we investigate the development of shear zones due to the settlement of shallow foundations and their load-settlement behavior. Firstly, a well-documented experiment of shallow penetration into sand is used for the validation of the soft particle code (SPARC). For these simulations a hypoplastic material model for sand with calibration for the model sand is implemented in SPARC. In order to deliver a more comprehensive investigation, the shape of the shear zones predicted by SPARC is also compared with the analytical solution. Secondly, the penetration of shallow foundation into clay is investigated by means of SPARC and the finite element method. For this purpose, barodesy for clay with the calibration for Dresden clay is implemented in both numerical methods. The simulations are carried out for six different surcharges, corresponding to a range of over-consolidated clay to normal-consolidated clay. Furthermore, the load-settlement behavior and the shape of shear zones for both methods are compared and the weaknesses and strengths of each numerical approach are discussed. Finally, the peaks of the load-settlement curves for all surcharges are compared with the analytical solution. Results show that SPARC performs better at predicting the trajectories of particles under the foundation, which consequently leads to better estimation of the load-settlement behavior.</p>","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"9 2","pages":"359-375"},"PeriodicalIF":1.8,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-018-0109-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36621107","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}
{"title":"The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography.","authors":"Peter Elbau, Leonidas Mindrinos, Otmar Scherzer","doi":"10.1007/s13137-017-0102-y","DOIUrl":"https://doi.org/10.1007/s13137-017-0102-y","url":null,"abstract":"<p><p>In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.</p>","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"9 1","pages":"145-165"},"PeriodicalIF":1.8,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-017-0102-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"35966633","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}
{"title":"Operator-theoretic and regularization approaches to ill-posed problems","authors":"W. Freeden, M. Nashed","doi":"10.1007/s13137-017-0100-0","DOIUrl":"https://doi.org/10.1007/s13137-017-0100-0","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"9 1","pages":"1 - 115"},"PeriodicalIF":1.8,"publicationDate":"2017-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-017-0100-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52683805","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}
{"title":"Friedrich Robert Helmert in memory of his 100th year of death","authors":"B. Witte","doi":"10.1007/s13137-017-0098-3","DOIUrl":"https://doi.org/10.1007/s13137-017-0098-3","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"8 1","pages":"153 - 168"},"PeriodicalIF":1.8,"publicationDate":"2017-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-017-0098-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52683779","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}
{"title":"Conjugate gradient based acceleration for inverse problems","authors":"S. Voronin, C. Zaroli, Naresh P. Cuntoor","doi":"10.1007/s13137-017-0099-2","DOIUrl":"https://doi.org/10.1007/s13137-017-0099-2","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"8 1","pages":"219 - 239"},"PeriodicalIF":1.8,"publicationDate":"2017-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-017-0099-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46199279","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}
Eric T. Chung, Y. Efendiev, Tat Leung, M. Vasilyeva
{"title":"Coupling of multiscale and multi-continuum approaches","authors":"Eric T. Chung, Y. Efendiev, Tat Leung, M. Vasilyeva","doi":"10.1007/s13137-017-0093-8","DOIUrl":"https://doi.org/10.1007/s13137-017-0093-8","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"8 1","pages":"9 - 41"},"PeriodicalIF":1.8,"publicationDate":"2017-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-017-0093-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48753719","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}