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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2018-09-10 DOI: 10.1007/s13137-018-0110-6
Max Kontak, V. Michel
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2018-08-09 DOI: 10.1007/s13137-019-0123-9
H. Aluie
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2018-06-15 DOI: 10.1007/s13137-018-0103-5
W. Freeden, M. Nashed
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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

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.

在本研究中，我们研究了浅基础沉降引起的剪切带的发展及其荷载-沉降行为。首先，利用有充分资料的浅贯入砂试验对软颗粒代码(SPARC)进行验证。在SPARC中实现了砂的欠塑性模型，并对模型砂进行了标定。为了提供更全面的研究，还将SPARC预测的剪切带形状与解析解进行了比较。其次，采用SPARC法和有限元法对浅基础在粘土中的侵彻进行了研究。为此，在两种数值方法中都实现了黏土的正压性和德累斯顿黏土的标定。对六种不同的附加物进行了模拟，对应于超固结粘土到正常固结粘土的范围。此外，比较了两种数值方法的荷载沉降特性和剪切带形状，并讨论了每种数值方法的优缺点。最后，将各荷载沉降曲线的峰值与解析解进行了比较。结果表明，SPARC能较好地预测地基下颗粒的运动轨迹，从而更好地估计荷载沉降行为。
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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

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.

在本文中，据我们所知，我们首次提供了一个用偏振敏感光学相干层析成像各向异性、正交异性介质的数学模型。利用麦克斯韦方程组重建介质的电磁化率，将成像问题表述为三维逆散射问题。我们的重构方法是基于电场的二阶玻恩近似。
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2017-12-05 DOI: 10.1007/s13137-017-0100-0
W. Freeden, M. Nashed
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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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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
Coupling of multiscale and multi-continuum approaches 多尺度和多连续体方法的耦合
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2017-03-11 DOI: 10.1007/s13137-017-0093-8
Eric T. Chung, Y. Efendiev, Tat Leung, M. Vasilyeva
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引用次数: 48
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