# zbMATH — the first resource for mathematics

## GEM - International Journal on Geomathematics

 Short Title: GEM. Int. J. Geomath. Publisher: Springer, Berlin/Heidelberg ISSN: 1869-2672; 1869-2680/e Online: http://link.springer.com/journal/volumesAndIssues/13137 Comments: Indexed cover-to-cover
 Documents Indexed: 156 Publications (since 2010) References Indexed: 151 Publications with 5,766 References.
all top 5

#### Latest Issues

 11, No. 1 (2020) 10, No. 1 (2019) 9, No. 2 (2018) 9, No. 1 (2018) 8, No. 2 (2017) 8, No. 1 (2017) 7, No. 2 (2016) 7, No. 1 (2016) 6, No. 2 (2015) 6, No. 1 (2015) 5, No. 2 (2014) 5, No. 1 (2014) 4, No. 2 (2013) 4, No. 1 (2013) 3, No. 2 (2012) 3, No. 1 (2012) 2, No. 2 (2011) 2, No. 1 (2011) 1, No. 2 (2011) 1, No. 1 (2010)
all top 5

#### Authors

 7 Freeden, Willi 7 Michel, Volker 5 Chung, Tsz Shun Eric 5 Efendiev, Yalchin R. 4 Bunge, Hans-Peter 4 Gerhards, Christian 4 Grafarend, Erik W. 4 Nashed, M. Zuhair 4 Prestin, Jurgen 3 Bos, Len P. 3 Chen, Chien Hsun 3 Chui, Charles Kam-tai 3 Koch, Karl-Rudolf 3 Kushnir, Alexander 3 Mhaskar, Hrushikesh N. 3 Pereverzev, Sergei V. 3 Slawinski, Michael A. 3 Varypaev, Alexander 3 Vasilyeva, Maria V. 2 Bathaeian, S. M. Iman 2 Benedetto, John J. 2 Berrone, Stefano 2 Blick, C. 2 Czaja, Wojciech 2 Fowler, Andrew C. 2 Gutting, Martin 2 Horbach, André 2 Karasözen, Bülent 2 Kazashi, Yoshihito 2 Kolymbas, Dimitrios 2 Kuhnert, Jörg 2 Livesey, Nathaniel J. 2 Nutz, Helga 2 Ostermann, Isabel 2 Pieraccini, Sandra 2 Polymerou, I. 2 Reich, Karin 2 Roussanova, Elena 2 Schaeben, Helmut 2 Scherzer, Otmar 2 Schneider-Muntau, Barbara 2 Sonar, Thomas 2 Tempone, Raúl F. 2 Van der Walt, Maria D. 2 Van Snyder, W. 2 Vicini, Fabio 2 Voronin, Sergeĭ Mikhaĭlovich 2 Wülker, Christian 2 You, Rey-Jer 1 Abordán, Armand 1 Aghili, Joubine 1 Aizinger, Vadym 1 Akram, Muhammad 1 Alekseev, Valentin 1 Aluie, Hussein 1 Ambartsumyan, Ilona 1 Anderson, Robert C. 1 Augustin, Matthias Albert 1 Ballesio, Marco 1 Bathaeian, Iman 1 Bauer, Werner 1 Beck, Joakim 1 Bentel, Katrin 1 Berkel, Paula 1 Boergens, Eva 1 Borio, Andrea 1 Brenner, Konstantin 1 Brockmann, Jan Martin 1 Brown, Donald L. 1 Burchard, Hans 1 Burman, Erik 1 Cabrales, Roberto Carlos 1 Carasso, Alfred S. 1 Carrera, Barbara 1 Cerroni, Daniele 1 Chave, Florent 1 Clark, C. D. 1 Class, Holger 1 Clemons, Curtis B. 1 Cui, Tiangang 1 Cui, Yan 1 Čunderliḱ, Róbert 1 Cuntoor, Naresh P. 1 Cvetković, Marko 1 Dahle, Christoph 1 Dahlke, Stephan 1 Das Gupta, Arnab Jyoti 1 Dauda, Gambo 1 D’Auria, Alessandro 1 Debsarma, Suma 1 Dell’Oca, Aronne 1 Dentz, Marco 1 Di Pietro, Daniele Antonio 1 Dill, Robert W. 1 Dobrosotskaya, Julia A. 1 Dobslaw, Henryk 1 Doster, Timothy 1 Duke, Kevin W. 1 Dunlop, P. 1 Egbert, Gary D. ...and 187 more Authors
all top 5

#### Fields

 82 Geophysics (86-XX) 73 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 19 Statistics (62-XX) 16 Mechanics of deformable solids (74-XX) 11 Approximations and expansions (41-XX) 10 Potential theory (31-XX) 10 Computer science (68-XX) 9 Special functions (33-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 6 History and biography (01-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral equations (45-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Astronomy and astrophysics (85-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

85 Publications have been cited 361 times in 285 Documents Cited by Year
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations. Zbl 1301.34104
Luchko, Yury; Punzi, Alessandro
2011
Generalized multiscale finite element method for elasticity equations. Zbl 1307.74064
Chung, Eric T.; Efendiev, Yalchin; Fu, Shubin
2014
Filtered hyperinterpolation: a constructive polynomial approximation on the sphere. Zbl 1259.65017
Sloan, Ian H.; Womersley, Robert S.
2012
Coupling of multiscale and multi-continuum approaches. Zbl 1456.65107
Chung, Eric T.; Efendiev, Yalchin; Leung, Tat; Vasilyeva, Maria
2017
Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method. Zbl 1338.76052
Efendiev, Yalchin; Lee, Seong; Li, Guanglian; Yao, Jun; Zhang, Na
2015
Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods. Zbl 1432.65156
Ranocha, Hendrik
2017
Satellite gravity gradiometry as tensorial inverse problem. Zbl 1252.86005
Freeden, Willi; Nutz, Helga
2011
On homogenization of Stokes flow in slowly varying media with applications to fluid-structure interaction. Zbl 1255.35029
Brown, Donald L.; Popov, Peter
2011
Spline multiresolution and numerical results for joint gravitation and normal-mode inversion with an outlook on sparse regularisation. Zbl 1301.86012
Berkel, Paula; Fischer, Doreen; Michel, Volker
2011
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216
Mikelić, A.; Wheeler, M. F.; Wick, T.
2019
Signal analysis via instantaneous frequency estimation of signal components. Zbl 1322.94028
Chui, Charles K.; van der Walt, Maria D.
2015
Fast multipole accelerated solution of the oblique derivative boundary value problem. Zbl 1252.31002
Gutting, Martin
2012
Spherical decompositions in a global and local framework: theory and an application to geomagnetic modeling. Zbl 1301.86018
Gerhards, C.
2011
Flow and transport in fractured poroelastic media. Zbl 1419.76602
Ambartsumyan, Ilona; Khattatov, Eldar; Nguyen, Truong; Yotov, Ivan
2019
A non-linear approximation method on the sphere. Zbl 1305.65094
Michel, Volker; Telschow, Roger
2014
Spatiospectral concentration in the Cartesian plane. Zbl 1226.42017
Simons, Frederik J.; Wang, Dong V.
2011
On the convergence theorem for the regularized functional matching pursuit (RFMP) algorithm. Zbl 1378.65113
Michel, Volker; Orzlowski, Sarah
2017
Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells. Zbl 1425.35032
Cerroni, Daniele; Laurino, Federica; Zunino, Paolo
2019
Compensating operators and stable backward in time marching in nonlinear parabolic equations. Zbl 1327.35161
Carasso, Alfred S.
2014
Data-driven atomic decomposition via frequency extraction of intrinsic mode functions. Zbl 1361.94023
Chui, Charles K.; Mhaskar, H. N.; van der Walt, Maria D.
2016
Advanced computation of steady-state fluid flow in discrete fracture-matrix models: FEM-BEM and VEM-VEM fracture-block coupling. Zbl 1419.65103
Berrone, S.; Borio, A.; Fidelibus, C.; Pieraccini, S.; Scialò, S.; Vicini, F.
2018
Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions. Zbl 1419.76448
Aghili, Joubine; Brenner, Konstantin; Hennicker, Julian; Masson, Roland; Trenty, Laurent
2019
A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures. Zbl 1425.35037
Köppel, Markus; Martin, Vincent; Roberts, Jean E.
2019
Three-dimensional modeling of heat transport in deep hydrothermal reservoirs. Zbl 1228.35085
Ostermann, Isabel
2011
Sampling, splines and frames on compact manifolds. Zbl 1320.42034
Pesenson, Isaac Z.
2015
Meshfree generalized finite difference methods in soil mechanics. I: Theory. Zbl 1277.74076
Ostermann, I.; Kuhnert, J.; Kolymbas, D.; Chen, C.-H.; Polymerou, I.; Šmilauer, V.; Vrettos, C.; Chen, D.
2013
Statistically-based approach for monitoring of micro-seismic events. Zbl 1293.62271
Kushnir, A.; Rozhkov, N.; Varypaev, A.
2013
Fast and robust flow simulations in discrete fracture networks with gpgpus. Zbl 1422.86001
Berrone, S.; D’Auria, A.; Vicini, F.
2019
A generalized multiscale finite element method for elastic wave propagation in fractured media. Zbl 06648357
Chung, Eric T.; Efendiev, Yalchin; Gibson, Richard L. jun.; Vasilyeva, Maria
2016
Randomized anisotropic transform for nonlinear dimensionality reduction. Zbl 1204.68271
Chui, Charles K.; Wang, Jianzhong
2010
A cut finite element method for elliptic bulk problems with embedded surfaces. Zbl 1419.76434
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Samvin, David
2019
A hybrid high-order method for passive transport in fractured porous media. Zbl 1419.76606
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
2019
Moment discretization for ill-posed problems with discrete weakly bounded noise. Zbl 1272.47016
Eggermont, P. P. B.; Lariccia, V. N.; Nashed, M. Z.
2012
On instabilities in data assimilation algorithms. Zbl 1269.65051
Marx, Boris A.; Potthast, Roland W. E.
2012
The adjoint method in geodynamics: derivation from a general operator formulation and application to the initial condition problem in a high resolution mantle circulation model. Zbl 1302.86020
Horbach, André; Bunge, Hans-Peter; Oeser, Jens
2014
Potential modeling: conditional independence matters. Zbl 1305.62236
Schaeben, Helmut
2014
Decomposition of optical flow on the sphere. Zbl 1327.92023
Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar
2014
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
2012
Hybrid regularization methods for seismic reflectivity inversion. Zbl 1225.86002
Wang, Yanfei; Cui, Yan; Yang, Changchun
2011
Operator-theoretic and regularization approaches to ill-posed problems. Zbl 1464.47006
Freeden, Willi; Nashed, M. Zuhair
2018
The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. Zbl 1393.35286
Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar
2018
Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models. Zbl 1431.76130
Vasilyeva, Maria; Chung, Eric T.; Leung, Wing Tat; Alekseev, Valentin
2019
Study of earth’s changing polarity using compound difference synchronization. Zbl 1433.37078
Khan, Ayub; Trikha, Pushali
2020
The compressible adjoint equations in geodynamics: derivation and numerical assessment. Zbl 1345.86003
Ghelichkhan, Siavash; Bunge, Hans-Peter
2016
Wavelet packets for time-frequency analysis of multispectral imagery. Zbl 1279.42039
Benedetto, John J.; Czaja, Wojciech; Ehler, Martin
2013
Exploration of a simple model for ice ages. Zbl 1277.86005
Fowler, A. C.; Rickaby, R. E. M.; Wolff, E. W.
2013
Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing. Zbl 1453.86010
Yoshioka, Keita; Parisio, Francesco; Naumov, Dmitri; Lu, Renchao; Kolditz, Olaf; Nagel, Thomas
2019
Iterative algorithms for total variation-like reconstructions in seismic tomography. Zbl 1259.86006
Loris, Ignace; Verhoeven, Caroline
2012
Accuracy of adaptive maximum likelihood algorithm for determination of micro earthquake source coordinates using surface array data in condition of strong coherent noise. Zbl 1348.86009
Kushnir, A.; Varypaev, A.
2016
A fully discretised polynomial approximation on spherical shells. Zbl 1351.41003
Kazashi, Yoshihito
2016
Feature extraction of geological signatures by multiscale gravimetry. Zbl 1392.31006
Blick, C.; Freeden, W.; Nutz, H.
2017
Simulation of shear bands with soft particle code (SPARC) and FE. Zbl 1396.74097
Schneider-Muntau, Barbara; Chen, Chien-Hsun; Bathaeian, S. M. Iman
2017
Regularized collocation for spherical harmonics gravitational field modeling. Zbl 1305.86010
Naumova, Valeriya; Pereverzyev, Sergei V.; Tkachenko, Pavlo
2014
Proof of validity of first-order seismic traveltime estimates. Zbl 1260.86008
Bos, Len; Slawinski, Michael A.
2011
Natural convection in horizontal annuli: evaluation of the error for two approximations. Zbl 1253.76040
Lamacz, Agnes; Passerini, Arianna
2011
A wavelet approach to the terrain correction in gravimetry and gravity gradiometry. Zbl 1253.86007
Jekeli, C.
2012
Visualising geomagnetic data by means of corresponding observations. Zbl 1268.01011
Reich, Karin; Roussanova, Elena
2013
Limit formulae and jump relations of potential theory in Sobolev spaces. Zbl 1205.46016
Grothaus, Martin; Raskop, Thomas
2010
Regularisation of the Helmholtz decomposition and its application to geomagnetic field modelling. Zbl 1204.41011
Akram, M.; Michel, V.
2010
Restoring past mantle convection structure through fluid dynamic inverse theory: regularisation through surface velocity boundary conditions. Zbl 1374.86048
Vynnytska, Lyudmyla; Bunge, Hans-Peter
2015
The reference figure of the rotating Earth in geometry and gravity space and an attempt to generalize the celebrated Runge-Walsh approximation theorem for irregular surfaces. Zbl 1326.86006
Grafarend, Erik W.
2015
Monte Carlo methods. Zbl 1395.62053
Koch, Karl-Rudolf
2018
Multilevel Monte Carlo acceleration of seismic wave propagation under uncertainty. Zbl 1431.86001
Ballesio, Marco; Beck, Joakim; Pandey, Anamika; Parisi, Laura; von Schwerin, Erik; Tempone, Raúl
2019
Meshfree generalized finite difference methods in soil mechanics. II: Numerical results. Zbl 1386.35041
Michel, Isabel; Bathaeian, S. M. I.; Kuhnert, J.; Kolymbas, D.; Chen, C.-H.; Polymerou, I.; Vrettos, C.; Becker, A.
2017
A new hierarchically-structured $$n$$-dimensional covariant form of rotating equations of geophysical fluid dynamics. Zbl 1338.76127
Bauer, Werner
2016
An improved version of a high accuracy surface modeling method. Zbl 1281.65024
Zhao, Na; Yue, Tianxiang; Zhao, Mingwei
2013
A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry. Zbl 1415.65132
Kontak, Max; Michel, Volker
2018
Inverse gravimetry: background material and multiscale mollifier approaches. Zbl 1415.86032
Freeden, Willi; Nashed, M. Zuhair
2018
Algorithm of micro-seismic source localization based on asymptotic probability distribution of phase difference between two random stationary Gaussian processes. Zbl 1419.62045
Varypaev, A.; Kushnir, A.
2018
A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media. Zbl 1419.76608
Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer; Class, Holger
2019
Translation matrix elements for spherical Gauss-Laguerre basis functions. Zbl 07097355
Prestin, Jürgen; Wülker, Christian
2019
Explaining the seismic moment of large earthquakes by heavy and extremely heavy tailed models. Zbl 1257.62127
Felgueiras, Miguel Martins
2012
The geomagnetic field gradient tensor. Zbl 1259.86007
Kotsiaros, Stavros; Olsen, Nils
2012
Application of mixed finite elements to spatially non-local model of inelastic deformations. Zbl 1348.74299
Vtorushin, Egor V.
2016
Spatial-spectral operator theoretic methods for hyperspectral image classification. Zbl 1352.42044
Benedetto, John J.; Czaja, Wojciech; Dobrosotskaya, Julia; Doster, Timothy; Duke, Kevin
2016
Multi-variate Hardy-type lattice point summation and Shannon-type sampling. Zbl 1369.94143
Freeden, Willi; Nashed, M. Zuhair
2015
Compression approaches for the regularized solutions of linear systems from large-scale inverse problems. Zbl 1338.65110
Voronin, Sergey; Mikesell, Dylan; Nolet, Guust
2015
Fourth order Taylor-Kármán structured covariance tensor for gravity gradient predictions by means of the Hankel transformation. Zbl 1331.31006
Grafarend, Erik W.; You, Rey-Jer
2015
Space gradiometry: tensor-valued ellipsoidal harmonics, the datum problem and application of the Lusternik-Schnirelmann category to construct a minimum atlas. Zbl 1301.86016
Grafarend, Erik
2011
Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism. Zbl 1312.65163
Karasözen, Bülent; Uzunca, Murat
2014
Reflection and refraction of three dimensional plane quasi-P waves at a corrugated surface between distinct triclinic elastic half spaces. Zbl 1261.86006
Chattopadhyay, A.; Kumari, Pato
2011
On the role of poroelasticity for modeling of stress fields in geothermal reservoirs. Zbl 1254.35221
Augustin, Matthias
2012
A linear model for the sea breeze circulation relevant for the tropical regions. Zbl 1260.35233
Das Gupta, Arnab Jyoti; Vasudeva Murthy, A. S.; Nanjundiah, Ravi S.; Srinivas, C. V.
2013
Spherical fast multiscale approximation by locally compact orthogonal wavelets. Zbl 1226.42027
Bauer, Frank; Gutting, Martin
2011
Enriched Galerkin method for the shallow-water equations. Zbl 07342032
Hauck, Moritz; Aizinger, Vadym; Frank, Florian; Hajduk, Hennes; Rupp, Andreas
2020
Study of earth’s changing polarity using compound difference synchronization. Zbl 1433.37078
Khan, Ayub; Trikha, Pushali
2020
Enriched Galerkin method for the shallow-water equations. Zbl 07342032
Hauck, Moritz; Aizinger, Vadym; Frank, Florian; Hajduk, Hennes; Rupp, Andreas
2020
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216
Mikelić, A.; Wheeler, M. F.; Wick, T.
2019
Flow and transport in fractured poroelastic media. Zbl 1419.76602
Ambartsumyan, Ilona; Khattatov, Eldar; Nguyen, Truong; Yotov, Ivan
2019
Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells. Zbl 1425.35032
Cerroni, Daniele; Laurino, Federica; Zunino, Paolo
2019
Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions. Zbl 1419.76448
Aghili, Joubine; Brenner, Konstantin; Hennicker, Julian; Masson, Roland; Trenty, Laurent
2019
A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures. Zbl 1425.35037
Köppel, Markus; Martin, Vincent; Roberts, Jean E.
2019
Fast and robust flow simulations in discrete fracture networks with gpgpus. Zbl 1422.86001
Berrone, S.; D&rsquo;Auria, A.; Vicini, F.
2019
A cut finite element method for elliptic bulk problems with embedded surfaces. Zbl 1419.76434
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Samvin, David
2019
A hybrid high-order method for passive transport in fractured porous media. Zbl 1419.76606
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
2019
Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models. Zbl 1431.76130
Vasilyeva, Maria; Chung, Eric T.; Leung, Wing Tat; Alekseev, Valentin
2019
Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing. Zbl 1453.86010
Yoshioka, Keita; Parisio, Francesco; Naumov, Dmitri; Lu, Renchao; Kolditz, Olaf; Nagel, Thomas
2019
Multilevel Monte Carlo acceleration of seismic wave propagation under uncertainty. Zbl 1431.86001
Ballesio, Marco; Beck, Joakim; Pandey, Anamika; Parisi, Laura; von Schwerin, Erik; Tempone, Raúl
2019
A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media. Zbl 1419.76608
Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer; Class, Holger
2019
Translation matrix elements for spherical Gauss-Laguerre basis functions. Zbl 07097355
Prestin, Jürgen; Wülker, Christian
2019
Advanced computation of steady-state fluid flow in discrete fracture-matrix models: FEM-BEM and VEM-VEM fracture-block coupling. Zbl 1419.65103
Berrone, S.; Borio, A.; Fidelibus, C.; Pieraccini, S.; Scialò, S.; Vicini, F.
2018
Operator-theoretic and regularization approaches to ill-posed problems. Zbl 1464.47006
Freeden, Willi; Nashed, M. Zuhair
2018
The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. Zbl 1393.35286
Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar
2018
Monte Carlo methods. Zbl 1395.62053
Koch, Karl-Rudolf
2018
A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry. Zbl 1415.65132
Kontak, Max; Michel, Volker
2018
Inverse gravimetry: background material and multiscale mollifier approaches. Zbl 1415.86032
Freeden, Willi; Nashed, M. Zuhair
2018
Algorithm of micro-seismic source localization based on asymptotic probability distribution of phase difference between two random stationary Gaussian processes. Zbl 1419.62045
Varypaev, A.; Kushnir, A.
2018
Coupling of multiscale and multi-continuum approaches. Zbl 1456.65107
Chung, Eric T.; Efendiev, Yalchin; Leung, Tat; Vasilyeva, Maria
2017
Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods. Zbl 1432.65156
Ranocha, Hendrik
2017
On the convergence theorem for the regularized functional matching pursuit (RFMP) algorithm. Zbl 1378.65113
Michel, Volker; Orzlowski, Sarah
2017
Feature extraction of geological signatures by multiscale gravimetry. Zbl 1392.31006
Blick, C.; Freeden, W.; Nutz, H.
2017
Simulation of shear bands with soft particle code (SPARC) and FE. Zbl 1396.74097
Schneider-Muntau, Barbara; Chen, Chien-Hsun; Bathaeian, S. M. Iman
2017
Meshfree generalized finite difference methods in soil mechanics. II: Numerical results. Zbl 1386.35041
Michel, Isabel; Bathaeian, S. M. I.; Kuhnert, J.; Kolymbas, D.; Chen, C.-H.; Polymerou, I.; Vrettos, C.; Becker, A.
2017
Data-driven atomic decomposition via frequency extraction of intrinsic mode functions. Zbl 1361.94023
Chui, Charles K.; Mhaskar, H. N.; van der Walt, Maria D.
2016
A generalized multiscale finite element method for elastic wave propagation in fractured media. Zbl 06648357
Chung, Eric T.; Efendiev, Yalchin; Gibson, Richard L. jun.; Vasilyeva, Maria
2016
The compressible adjoint equations in geodynamics: derivation and numerical assessment. Zbl 1345.86003
Ghelichkhan, Siavash; Bunge, Hans-Peter
2016
Accuracy of adaptive maximum likelihood algorithm for determination of micro earthquake source coordinates using surface array data in condition of strong coherent noise. Zbl 1348.86009
Kushnir, A.; Varypaev, A.
2016
A fully discretised polynomial approximation on spherical shells. Zbl 1351.41003
Kazashi, Yoshihito
2016
A new hierarchically-structured $$n$$-dimensional covariant form of rotating equations of geophysical fluid dynamics. Zbl 1338.76127
Bauer, Werner
2016
Application of mixed finite elements to spatially non-local model of inelastic deformations. Zbl 1348.74299
Vtorushin, Egor V.
2016
Spatial-spectral operator theoretic methods for hyperspectral image classification. Zbl 1352.42044
Benedetto, John J.; Czaja, Wojciech; Dobrosotskaya, Julia; Doster, Timothy; Duke, Kevin
2016
Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method. Zbl 1338.76052
Efendiev, Yalchin; Lee, Seong; Li, Guanglian; Yao, Jun; Zhang, Na
2015
Signal analysis via instantaneous frequency estimation of signal components. Zbl 1322.94028
Chui, Charles K.; van der Walt, Maria D.
2015
Sampling, splines and frames on compact manifolds. Zbl 1320.42034
Pesenson, Isaac Z.
2015
Restoring past mantle convection structure through fluid dynamic inverse theory: regularisation through surface velocity boundary conditions. Zbl 1374.86048
Vynnytska, Lyudmyla; Bunge, Hans-Peter
2015
The reference figure of the rotating Earth in geometry and gravity space and an attempt to generalize the celebrated Runge-Walsh approximation theorem for irregular surfaces. Zbl 1326.86006
Grafarend, Erik W.
2015
Multi-variate Hardy-type lattice point summation and Shannon-type sampling. Zbl 1369.94143
Freeden, Willi; Nashed, M. Zuhair
2015
Compression approaches for the regularized solutions of linear systems from large-scale inverse problems. Zbl 1338.65110
Voronin, Sergey; Mikesell, Dylan; Nolet, Guust
2015
Fourth order Taylor-Kármán structured covariance tensor for gravity gradient predictions by means of the Hankel transformation. Zbl 1331.31006
Grafarend, Erik W.; You, Rey-Jer
2015
Generalized multiscale finite element method for elasticity equations. Zbl 1307.74064
Chung, Eric T.; Efendiev, Yalchin; Fu, Shubin
2014
A non-linear approximation method on the sphere. Zbl 1305.65094
Michel, Volker; Telschow, Roger
2014
Compensating operators and stable backward in time marching in nonlinear parabolic equations. Zbl 1327.35161
Carasso, Alfred S.
2014
The adjoint method in geodynamics: derivation from a general operator formulation and application to the initial condition problem in a high resolution mantle circulation model. Zbl 1302.86020
Horbach, André; Bunge, Hans-Peter; Oeser, Jens
2014
Potential modeling: conditional independence matters. Zbl 1305.62236
Schaeben, Helmut
2014
Decomposition of optical flow on the sphere. Zbl 1327.92023
Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar
2014
Regularized collocation for spherical harmonics gravitational field modeling. Zbl 1305.86010
Naumova, Valeriya; Pereverzyev, Sergei V.; Tkachenko, Pavlo
2014
Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism. Zbl 1312.65163
Karasözen, Bülent; Uzunca, Murat
2014
Meshfree generalized finite difference methods in soil mechanics. I: Theory. Zbl 1277.74076
Ostermann, I.; Kuhnert, J.; Kolymbas, D.; Chen, C.-H.; Polymerou, I.; Šmilauer, V.; Vrettos, C.; Chen, D.
2013
Statistically-based approach for monitoring of micro-seismic events. Zbl 1293.62271
Kushnir, A.; Rozhkov, N.; Varypaev, A.
2013
Wavelet packets for time-frequency analysis of multispectral imagery. Zbl 1279.42039
Benedetto, John J.; Czaja, Wojciech; Ehler, Martin
2013
Exploration of a simple model for ice ages. Zbl 1277.86005
Fowler, A. C.; Rickaby, R. E. M.; Wolff, E. W.
2013
Visualising geomagnetic data by means of corresponding observations. Zbl 1268.01011
Reich, Karin; Roussanova, Elena
2013
An improved version of a high accuracy surface modeling method. Zbl 1281.65024
Zhao, Na; Yue, Tianxiang; Zhao, Mingwei
2013
A linear model for the sea breeze circulation relevant for the tropical regions. Zbl 1260.35233
Das Gupta, Arnab Jyoti; Vasudeva Murthy, A. S.; Nanjundiah, Ravi S.; Srinivas, C. V.
2013
Filtered hyperinterpolation: a constructive polynomial approximation on the sphere. Zbl 1259.65017
Sloan, Ian H.; Womersley, Robert S.
2012
Fast multipole accelerated solution of the oblique derivative boundary value problem. Zbl 1252.31002
Gutting, Martin
2012
Moment discretization for ill-posed problems with discrete weakly bounded noise. Zbl 1272.47016
Eggermont, P. P. B.; Lariccia, V. N.; Nashed, M. Z.
2012
On instabilities in data assimilation algorithms. Zbl 1269.65051
Marx, Boris A.; Potthast, Roland W. E.
2012
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028
Beckmann, J.; Mhaskar, H. N.; Prestin, J.
2012
Iterative algorithms for total variation-like reconstructions in seismic tomography. Zbl 1259.86006
Loris, Ignace; Verhoeven, Caroline
2012
A wavelet approach to the terrain correction in gravimetry and gravity gradiometry. Zbl 1253.86007
Jekeli, C.
2012
Explaining the seismic moment of large earthquakes by heavy and extremely heavy tailed models. Zbl 1257.62127
Felgueiras, Miguel Martins
2012
The geomagnetic field gradient tensor. Zbl 1259.86007
Kotsiaros, Stavros; Olsen, Nils
2012
On the role of poroelasticity for modeling of stress fields in geothermal reservoirs. Zbl 1254.35221
Augustin, Matthias
2012
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations. Zbl 1301.34104
Luchko, Yury; Punzi, Alessandro
2011
Satellite gravity gradiometry as tensorial inverse problem. Zbl 1252.86005
Freeden, Willi; Nutz, Helga
2011
On homogenization of Stokes flow in slowly varying media with applications to fluid-structure interaction. Zbl 1255.35029
Brown, Donald L.; Popov, Peter
2011
Spline multiresolution and numerical results for joint gravitation and normal-mode inversion with an outlook on sparse regularisation. Zbl 1301.86012
Berkel, Paula; Fischer, Doreen; Michel, Volker
2011
Spherical decompositions in a global and local framework: theory and an application to geomagnetic modeling. Zbl 1301.86018
Gerhards, C.
2011
Spatiospectral concentration in the Cartesian plane. Zbl 1226.42017
Simons, Frederik J.; Wang, Dong V.
2011
Three-dimensional modeling of heat transport in deep hydrothermal reservoirs. Zbl 1228.35085
Ostermann, Isabel
2011
Hybrid regularization methods for seismic reflectivity inversion. Zbl 1225.86002
Wang, Yanfei; Cui, Yan; Yang, Changchun
2011
Proof of validity of first-order seismic traveltime estimates. Zbl 1260.86008
Bos, Len; Slawinski, Michael A.
2011
Natural convection in horizontal annuli: evaluation of the error for two approximations. Zbl 1253.76040
Lamacz, Agnes; Passerini, Arianna
2011
Space gradiometry: tensor-valued ellipsoidal harmonics, the datum problem and application of the Lusternik-Schnirelmann category to construct a minimum atlas. Zbl 1301.86016
Grafarend, Erik
2011
Reflection and refraction of three dimensional plane quasi-P waves at a corrugated surface between distinct triclinic elastic half spaces. Zbl 1261.86006
Chattopadhyay, A.; Kumari, Pato
2011
Spherical fast multiscale approximation by locally compact orthogonal wavelets. Zbl 1226.42027
Bauer, Frank; Gutting, Martin
2011
Randomized anisotropic transform for nonlinear dimensionality reduction. Zbl 1204.68271
Chui, Charles K.; Wang, Jianzhong
2010
Limit formulae and jump relations of potential theory in Sobolev spaces. Zbl 1205.46016
Grothaus, Martin; Raskop, Thomas
2010
Regularisation of the Helmholtz decomposition and its application to geomagnetic field modelling. Zbl 1204.41011
Akram, M.; Michel, V.
2010
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#### Cited by 480 Authors

 29 Chung, Tsz Shun Eric 22 Vasilyeva, Maria V. 15 Freeden, Willi 14 Efendiev, Yalchin R. 10 Michel, Volker 8 Leung, Wingtat 8 Ranocha, Hendrik 7 Nutz, Helga 6 Cheung, Siu Wun 6 Chui, Charles Kam-tai 6 Luchko, Yuri 6 Mhaskar, Hrushikesh N. 6 Spiridonov, Denis 6 Wick, Thomas 5 Gerhards, Christian 5 Jiang, Qingtang 5 Nashed, M. Zuhair 5 Wang, Yating 5 Wheeler, Mary Fanett 4 Augustin, Matthias Albert 4 Carasso, Alfred S. 4 Fu, Shubin 4 Hajibeygi, Hadi 4 Kushnir, Alexander 4 Lu, Jian 4 Nordbotten, Jan Martin 4 Sloan, Ian Hugh 4 Varypaev, Alexander 4 Wang, Yuguang 3 Abdulle, Assyr 3 Blick, C. 3 Brown, Donald L. 3 Budáč, Ondrej 3 Bunge, Hans-Peter 3 Kumar, Kundan 3 Lee, Sanghyun 3 Li, Guanglian 3 Lin, Shaobo 3 Mai, Tina 3 Öffner, Philipp 3 Ostermann, Isabel 3 Park, Jun Sur Richard 3 Radu, Florin Adrian 3 Ren, Lei 3 Scialò, Stefano 3 Sonar, Thomas 3 Tchelepi, Hamdi A. 3 Themistoclakis, Woula 3 Wang, Heping 3 Wang, Yuanming 3 Wang, Yuhe 3 Womersley, Robert S. 2 Al-Refai, Mohammed 2 Aldakheel, Fadi 2 Alekseev, Valentin 2 Babaei, Masoud 2 Bathaeian, S. M. Iman 2 Benedetto, John J. 2 Berre, Inga 2 Berrone, Stefano 2 Brenner, Konstantin 2 Brun, Mats Kirkesæther 2 Chen, Chien Hsun 2 Czaja, Wojciech 2 De Martino, Antonino 2 Đinh Nho Hào 2 Duc, Nguyen Van 2 Fumagalli, Alessio 2 Ghelichkhan, Siavash 2 Gibson jun., Richard L. 2 Gjerde, Ingeborg G. 2 Hoang, Viet Ha 2 Jahanzaib, Lone Seth 2 Kontak, Max 2 Kuchta, Miroslav 2 Lang, Lukas F. 2 Larson, Mats G. 2 Laurino, Federica 2 Leweke, Sarah 2 Li, Yanbo 2 Lopushans’kyi, Andriy Olegovich 2 Luo, Huiwu 2 Mardal, Kent-Andre 2 Masson, Roland 2 Noii, Nima 2 Passerini, Arianna 2 Pesenson, Isaac Zalmanovich 2 Rohan, Eduard 2 Schaeben, Helmut 2 Scherzer, Otmar 2 Schneider-Muntau, Barbara 2 Schneider, Naomi 2 Scotti, Anna 2 Simons, Frederik J. 2 Tang, Yuanyan 2 Telschow, Roger 2 Tkachenko, Pavlo 2 Trikha, Pushali 2 Van Barel, Marc 2 Van der Walt, Maria D. ...and 380 more Authors
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#### Cited in 72 Journals

 36 GEM - International Journal on Geomathematics 29 Journal of Computational and Applied Mathematics 22 Journal of Computational Physics 11 Computational Geosciences 10 Applied and Computational Harmonic Analysis 9 Computers & Mathematics with Applications 9 Journal of Scientific Computing 8 Computer Methods in Applied Mechanics and Engineering 7 Applied Mathematics and Computation 6 SIAM Journal on Numerical Analysis 6 Inverse Problems in Science and Engineering 4 Inverse Problems 4 Numerical Functional Analysis and Optimization 4 SIAM Journal on Scientific Computing 4 Multiscale Modeling & Simulation 3 Journal of Mathematical Physics 3 Applied Numerical Mathematics 3 Journal of Complexity 3 Numerical Algorithms 3 Journal of Inverse and Ill-Posed Problems 3 The Journal of Fourier Analysis and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Imaging Sciences 3 Mathematical Geosciences 2 Applicable Analysis 2 Journal of Fluid Mechanics 2 Mathematische Semesterberichte 2 Mathematics of Computation 2 BIT 2 Journal of Approximation Theory 2 Numerische Mathematik 2 Applied Mathematical Modelling 2 Mathematical Problems in Engineering 2 Fractional Calculus & Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Inverse Problems and Imaging 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Results in Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Siberian Mathematical Journal 1 Optimal Control Applications & Methods 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Multidimensional Systems and Signal Processing 1 Automation and Remote Control 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Continuum Mechanics and Thermodynamics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 Abstract and Applied Analysis 1 European Journal of Mechanics. A. Solids 1 DGDS. Differential Geometry – Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Variables and Elliptic Equations 1 Journal of Statistical Theory and Practice 1 International Electronic Journal of Geometry 1 Advances in Differential Equations and Control Processes 1 Advances in Mathematical Physics 1 Iranian Journal of Mathematical Chemistry 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Bulletin of Mathematical Sciences 1 S$$\vec{\text{e}}$$MA Journal 1 International Journal of Applied and Computational Mathematics 1 Advances in Data Science and Adaptive Analysis
all top 5

#### Cited in 40 Fields

 151 Numerical analysis (65-XX) 85 Partial differential equations (35-XX) 84 Fluid mechanics (76-XX) 66 Geophysics (86-XX) 53 Mechanics of deformable solids (74-XX) 31 Approximations and expansions (41-XX) 27 Information and communication theory, circuits (94-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 16 Special functions (33-XX) 15 Computer science (68-XX) 14 Statistics (62-XX) 9 Integral equations (45-XX) 9 Biology and other natural sciences (92-XX) 8 Potential theory (31-XX) 7 Operator theory (47-XX) 6 Functional analysis (46-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)