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GEM: International Journal on Geomathematics 国际地理数学杂志
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2017-03-02 DOI: 10.1007/s13137-017-0094-7
W. Freeden, Clemens Heine
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引用次数: 0
Single-species model under seasonal succession alternating between Gompertz and Logistic growth and impulsive perturbations 季节演替下的单物种模型，在Gompertz和Logistic增长和脉冲扰动之间交替
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2017-02-15 DOI: 10.1007/s13137-017-0092-9
Yanqing Li, Long Zhang, Z. Teng
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引用次数: 2
Simulation of shear bands with Soft PARticle Code (SPARC) and FE. 用软颗粒程序(SPARC)和有限元法模拟剪切带。
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2017-01-01 Epub Date: 2017-01-02 DOI: 10.1007/s13137-016-0091-2
Barbara Schneider-Muntau, Chien-Hsun Chen, S M Iman Bathaeian

The aim of this paper is to numerically investigate the development, thickness and orientation of shear bands, in biaxial test with two approaches towards solving problems of continuum mechanics, namely the meshless "Soft PARticle" method and the mesh based Finite Element method. Soft PArticle Code (SPARC) is a straightforward collocation numerical method based on strong formulation, in which a first order polynomial basis is adopted for the evaluation of spatial derivatives in partial differential equations. A novel nonlinear constitutive model- barodesy for clay, is adopted in this study. The biaxial test, which involves homogeneous, and later inhomogeneous localized deformation is simulated using the Soft PArticle Code and the Finite Element method. The inclination and thickness of the shear bands are evaluated and analysed with the earlier experimental, theoretical and numerical investigations. Furthermore, simulation results are compared and presented to demonstrate the advantages and limitations of SPARC in comparison to FE method.

本文的目的是采用两种解决连续介质力学问题的方法，即无网格“软颗粒”法和基于网格的有限元法，对双轴试验中剪切带的发展、厚度和方向进行数值研究。软粒子编码(Soft PArticle Code, SPARC)是一种基于强公式的直接搭配数值方法，它采用一阶多项式基来求偏微分方程的空间导数。本文采用了一种新的非线性本构模型——粘土的正压力学模型。采用软颗粒程序和有限元方法对双轴试验进行了模拟，包括均匀和非均匀局部变形。通过早期的实验、理论和数值研究，对剪切带的倾角和厚度进行了评估和分析。通过对仿真结果的比较，说明了SPARC方法相对于有限元方法的优点和局限性。
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引用次数: 12
Romberg extrapolation for Euler summation-based cubature on regular regions. 正则区域上基于欧拉求和的培养的Romberg外推。
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2017-01-01 Epub Date: 2017-09-11 DOI: 10.1007/s13137-017-0097-4
W Freeden, C Gerhards

Romberg extrapolation is a long-known method to improve the convergence rate of the trapezoidal rule on intervals. For simple regions such as the cube [Formula: see text] it is directly transferable to cubature in q dimensions. In this paper, we formulate Romberg extrapolation for Euler summation-based cubature on arbitrary q-dimensional regular regions [Formula: see text] and derive an explicit representation for the remainder term.

Romberg外推法是一种众所周知的提高梯形规则在区间上收敛速度的方法。对于简单的区域，如立方体[公式:见文本]，它可以直接转换为q维的立方体。在本文中，我们在任意q维正则区域上为基于欧拉求和的模型建立了Romberg外推[公式:见文本]，并推导了余项的显式表示。
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引用次数: 2
New insights into the seismic time term method for heterogeneous upper mantle slowness structures 非均质上地幔慢度构造地震时项法的新认识
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2016-12-18 DOI: 10.1007/s13137-016-0090-3
K. Wittig, T. Ryberg, M. Weber
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引用次数: 2
Feature extraction of geological signatures by multiscale gravimetry 地质特征的多尺度重力特征提取
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2016-09-27 DOI: 10.1007/s13137-016-0088-x
C. Blick, W. Freeden, H. Nutz
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引用次数: 18
Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods 浅水方程:分裂形式，熵稳定，良好平衡，和正保持数值方法
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2016-09-26 DOI: 10.1007/s13137-016-0089-9
Hendrik Ranocha
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引用次数: 45
Filters for geodesy data based on linear and nonlinear diffusion 基于线性和非线性扩散的大地测量数据滤波
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2016-09-15 DOI: 10.1007/s13137-016-0087-y
R. Cunderlík, Michal Kollár, K. Mikula
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引用次数: 2
Erratum to: A fully discretised polynomial approximation on spherical shells 对球壳的完全离散多项式近似的勘误
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2016-07-20 DOI: 10.1007/s13137-016-0086-z
Yoshihito Kazashi
{"title":"Erratum to: A fully discretised polynomial approximation on spherical shells","authors":"Yoshihito Kazashi","doi":"10.1007/s13137-016-0086-z","DOIUrl":"https://doi.org/10.1007/s13137-016-0086-z","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"7 1","pages":"325 - 325"},"PeriodicalIF":1.8,"publicationDate":"2016-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-016-0086-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52683618","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: 0
Spatial-spectral operator theoretic methods for hyperspectral image classification 高光谱图像分类的空间光谱算子理论方法
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2016-07-07 DOI: 10.1007/s13137-016-0085-0
J. Benedetto, W. Czaja, J. Dobrosotskaya, T. Doster, K. Duke
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引用次数: 9
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