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GEM-International Journal on Geomathematics最新文献

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A cut finite element method for elliptic bulk problems with embedded surfaces. 具有嵌入曲面的椭圆体问题的割有限元方法。
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2019-01-01 Epub Date: 2019-01-29 DOI: 10.1007/s13137-019-0120-z
Erik Burman, Peter Hansbo, Mats G Larson, David Samvin
{"title":"A cut finite element method for elliptic bulk problems with embedded surfaces.","authors":"Erik Burman,&nbsp;Peter Hansbo,&nbsp;Mats G Larson,&nbsp;David Samvin","doi":"10.1007/s13137-019-0120-z","DOIUrl":"10.1007/s13137-019-0120-z","url":null,"abstract":"<p><p>We propose an unfitted finite element method for flow in fractured porous media. The coupling across the fracture uses a Nitsche type mortaring, allowing for an accurate representation of the jump in the normal component of the gradient of the discrete solution across the fracture. The flow field in the fracture is modelled simultaneously, using the average of traces of the bulk variables on the fractures. In particular the Laplace-Beltrami operator for the transport in the fracture is included using the average of the projection on the tangential plane of the fracture of the trace of the bulk gradient. Optimal order error estimates are proven under suitable regularity assumptions on the domain geometry. The extension to the case of bifurcating fractures is discussed. Finally the theory is illustrated by a series of numerical examples.</p>","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"10 1","pages":"10"},"PeriodicalIF":1.8,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-019-0120-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37057427","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}
引用次数: 2
Multilevel Monte Carlo acceleration of seismic wave propagation under uncertainty 不确定条件下地震波传播的多级蒙特卡罗加速度
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2018-10-03 DOI: 10.1007/s13137-019-0135-5
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}
引用次数: 11
A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry 非线性反问题的贪心算法及其在非线性反重力测量中的应用
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2018-09-10 DOI: 10.1007/s13137-018-0110-6
Max Kontak, V. Michel
{"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}
引用次数: 5
Convolutions on the sphere: commutation with differential operators 球面上的卷积：微分算子的换相
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2018-08-09 DOI: 10.1007/s13137-019-0123-9
H. Aluie
{"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}
引用次数: 19
Inverse gravimetry: background material and multiscale mollifier approaches 反重力法:背景材料和多尺度缓和方法
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2018-06-15 DOI: 10.1007/s13137-018-0103-5
W. Freeden, M. Nashed
{"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}
引用次数: 20
Simulation of settlement and bearing capacity of shallow foundations with soft particle code (SPARC) and FE. 软颗粒法和有限元法模拟浅基础沉降与承载力。
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2018-01-01 Epub Date: 2018-08-24 DOI: 10.1007/s13137-018-0109-z
Barbara Schneider-Muntau, Iman Bathaeian
{"title":"Simulation of settlement and bearing capacity of shallow foundations with soft particle code (SPARC) and FE.","authors":"Barbara Schneider-Muntau,&nbsp;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}
引用次数: 7
The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. 偏振敏感光学相干层析成像中正交各向异性介质的逆散射问题。
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2018-01-01 Epub Date: 2017-12-27 DOI: 10.1007/s13137-017-0102-y
Peter Elbau, Leonidas Mindrinos, Otmar Scherzer
{"title":"The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography.","authors":"Peter Elbau,&nbsp;Leonidas Mindrinos,&nbsp;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}
引用次数: 5
Operator-theoretic and regularization approaches to ill-posed problems 不适定问题的算子理论和正则化方法
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2017-12-05 DOI: 10.1007/s13137-017-0100-0
W. Freeden, M. Nashed
{"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}
引用次数: 14
Friedrich Robert Helmert in memory of his 100th year of death 纪念弗里德里希·罗伯特·赫尔默特逝世100周年
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2017-10-25 DOI: 10.1007/s13137-017-0098-3
B. Witte
{"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}
引用次数: 1
Conjugate gradient based acceleration for inverse problems 基于共轭梯度的反问题加速度
IF 1.8
GEM-International Journal on Geomathematics Pub Date : 2017-09-10 DOI: 10.1007/s13137-017-0099-2
S. Voronin, C. Zaroli, Naresh P. Cuntoor
{"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}
引用次数: 2
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