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## Alves, Carlos J. S.

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 Author ID: alves.carlos-j-s Published as: Alves, C.; Alves, C. J. S.; Alves, Carlos; Alves, Carlos J. S. Homepage: https://www.math.tecnico.ulisboa.pt/~calves/ External Links: MGP
 Documents Indexed: 47 Publications since 1995, including 3 Books
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#### Co-Authors

 3 single-authored 10 Martins, Nuno F. M. 8 Valtchev, Svilen S. 5 Antunes, Pedro Ricardo Simão 5 Ha-Duong, Tuong 5 Roberty, Nilson C. 5 Silvestre, Ana Leonor 4 Leitão, Vitor Manuel Azevedo 3 Kress, Rainer 3 Serranho, Pedro 2 Chen, Ching-Shyang 2 Colaço, Marcelo J. 2 Orlande, Helcio Rangel Barreto 1 Ammari, Habib M. 1 Cruzeiro, Ana-Bela 1 Duarte, Carlos Armando 1 Karageorghis, Andreas 1 Mamud, Roberto 1 Pardalos, Panos M. 1 Pereira, Basilio de Bragança 1 Ribeiro, P. M. C. 1 Săler, B. 1 Takahashi, Takéo 1 Tucsnak, Marius 1 Vicente, Luis Nunes
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#### Serials

 7 Engineering Analysis with Boundary Elements 4 Inverse Problems 3 Inverse Problems in Science and Engineering 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 1 IMA Journal of Applied Mathematics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 SIAM Journal on Scientific Computing 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Computational Methods in Applied Sciences 1 Inverse Problems and Imaging 1 SEMA SIMAI Springer Series 1 Springer Optimization and Its Applications
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#### Fields

 25 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 467 times in 323 Documents Cited by Year
On the choice of source points in the method of fundamental solutions. Zbl 1244.65216
Alves, Carlos J. S.
2009
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
2005
Numerical comparison of two meshfree methods for acoustic wave scattering. Zbl 1182.76924
Alves, Carlos J. S.; Valtchev, Svilen S.
2005
Density results using Stokeslets and a method of fundamental solutions for the Stokes equations. Zbl 1079.76058
Alves, C. J. S.; Silvestre, A. L.
2004
Crack analysis using an enriched MFS domain decomposition technique. Zbl 1195.74148
Alves, Carlos J. S.; Leitão, Vitor M. A.
2006
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
2002
The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates. Zbl 1257.74096
Alves, Carlos J. S.; Antunes, Pedro R. S.
2009
Recovering the source term in a linear diffusion problem by the method of fundamental solutions. Zbl 1159.65354
Alves, Carlos J. S.; Colaço, Marcelo J.; Leitão, Vitor M. A.; Martins, Nuno F. M.; Orlande, Helcio R. B.; Roberty, Nilson C.
2008
The method of fundamental solutions for solving Poisson problems. Zbl 1011.65086
Alves, C. J. S.; Chen, C. S.; Săler, B.
2002
The method of fundamental solutions applied to some inverse eigenproblems. Zbl 1275.49075
Alves, Carlos J. S.; Antunes, Pedro R. S.
2013
Full identification of acoustic sources with multiple frequencies and boundary measurements. Zbl 1187.65124
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
2009
Solving inverse source problems using observability. Applications to the Euler-Bernoulli plate equation. Zbl 1282.93059
Alves, Carlos; Silvestre, Ana Leonor; Takahashi, Takéo; Tucsnak, Marius
2009
The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities. Zbl 1166.74008
Alves, Carlos J. S.; Martins, Nuno F. M.
2009
Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium. Zbl 1028.74021
Alves, Carlos; Ammari, Habib
2001
A Kansa type method using fundamental solutions applied to elliptic PDEs. Zbl 1323.65122
Alves, Carlos J. S.; Valtchev, Svilen S.
2007
Inverse scattering for elastic plane cracks. Zbl 0929.35170
Alves, Carlos J. S.; Ha-Duong, Tuong
1999
Extending the method of fundamental solutions to non-homogeneous elastic wave problems. Zbl 1386.74150
Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.
2017
Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087
Alves, Carlos; Kress, Rainer; Serranho, Pedro
2009
On the identification of star-shape sources from boundary measurements using a reciprocity functional. Zbl 1166.65392
Roberty, N. C.; Alves, C. J. S.
2009
Numerical resolution of the boundary integral equations for elastic scattering by a plane crack. Zbl 0835.73066
Alves, Carlos; Duong, Tuong Ha
1995
On the application of the method of fundamental solutions to boundary value problems with jump discontinuities. Zbl 1426.65199
Alves, Carlos J. S.; Valtchev, Svilen S.
2018
The method of fundamental solutions applied to boundary value problems on the surface of a sphere. Zbl 1409.65107
Alves, Carlos J. S.; Antunes, Pedro R. S.
2018
On inverse scattering by screens. Zbl 0901.35106
Alves, Carlos J. S.; Ha-Duong, Tuong
1997
Inverse scattering with spherical incident waves. Zbl 0942.35038
Alves, Carlos J. S.
1998
On the application of the method of fundamental solutions to nonlinear partial differential equations. Zbl 1403.65250
Alves, Carlos J. S.; Silvestre, Ana L.
2018
Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations. Zbl 1136.35101
Alves, C. J. S.; Kress, R.; Silvestre, A. L.
2007
On the determination of point-forces on a Stokes system. Zbl 1075.76020
Alves, C. J. S.; Silvestre, A. L.
2004
Identification and reconstruction of elastic body forces. Zbl 1291.74030
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
2014
Numerical experiments on the resonance poles associated to acoustic and elastic scattering by a plane crack. Zbl 0874.73077
Alves, Carlos; Ha Duong, Tuong
1995
Trefftz methods with cracklets and their relation to BEM and MFS. Zbl 1403.65186
Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.
2018
On inverse problems for characteristic sources in Helmholtz equations. Zbl 1426.65166
Alves, Carlos J. S.; Mamud, Roberto; Martins, Nuno F. M.; Roberty, Nilson C.
2017
Transient non-intrusive method for estimating spatial thermal contact conductance by means of the reciprocity functional approach and the method of fundamental solutions. Zbl 1326.65123
Colaço, Marcelo J.; Alves, Carlos J. S.; Orlande, Helcio R. B.
2015
Advances in meshfree techniques. Invited contributions based on the presentation at the ECCOMAS thematic conference on meshless methods, Lisbon, Portugal, July 11–14, 2005. en. Zbl 1125.74003
Leitão, V. M. A. (ed.); Alves, C. J. S. (ed.); Duarte, C. Armando (ed.)
2007
On the identification of the flatness of a sound-hard acoustic crack. Zbl 1113.35147
Alves, C. J. S.; Serranho, P.
2004
Numerical simulations on resonance poles – the trapping case of two plane cracks. Zbl 0955.76083
Alves, Carlos J. S.
1999
On the far field amplitude for elastic waves. Zbl 0893.73019
Alves, Carlos J. S.; Ha-Duong, Tuong
1997
Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions. Zbl 07034737
Alves, Carlos J. S.; Antunes, Pedro R. S.
2019
On the determination of a Robin boundary coefficient in an elastic cavity using the MFS. Zbl 1157.74015
Alves, Carlos J. S.; Martins, Nuno F. M.
2009
Monte-Carlo simulation of stochastic differential systems - a geometrical approach. Zbl 1141.60042
Alves, C. J. S.; Cruzeiro, A. B.
2008
Scattering by cracks: numerical simulations using a boundary finite element method. Zbl 1107.74337
Alves, C. J. S.; Pereira, B.; Serranho, P.
2002
Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions. Zbl 07034737
Alves, Carlos J. S.; Antunes, Pedro R. S.
2019
On the application of the method of fundamental solutions to boundary value problems with jump discontinuities. Zbl 1426.65199
Alves, Carlos J. S.; Valtchev, Svilen S.
2018
The method of fundamental solutions applied to boundary value problems on the surface of a sphere. Zbl 1409.65107
Alves, Carlos J. S.; Antunes, Pedro R. S.
2018
On the application of the method of fundamental solutions to nonlinear partial differential equations. Zbl 1403.65250
Alves, Carlos J. S.; Silvestre, Ana L.
2018
Trefftz methods with cracklets and their relation to BEM and MFS. Zbl 1403.65186
Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.
2018
Extending the method of fundamental solutions to non-homogeneous elastic wave problems. Zbl 1386.74150
Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.
2017
On inverse problems for characteristic sources in Helmholtz equations. Zbl 1426.65166
Alves, Carlos J. S.; Mamud, Roberto; Martins, Nuno F. M.; Roberty, Nilson C.
2017
Transient non-intrusive method for estimating spatial thermal contact conductance by means of the reciprocity functional approach and the method of fundamental solutions. Zbl 1326.65123
Colaço, Marcelo J.; Alves, Carlos J. S.; Orlande, Helcio R. B.
2015
Identification and reconstruction of elastic body forces. Zbl 1291.74030
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
2014
The method of fundamental solutions applied to some inverse eigenproblems. Zbl 1275.49075
Alves, Carlos J. S.; Antunes, Pedro R. S.
2013
On the choice of source points in the method of fundamental solutions. Zbl 1244.65216
Alves, Carlos J. S.
2009
The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates. Zbl 1257.74096
Alves, Carlos J. S.; Antunes, Pedro R. S.
2009
Full identification of acoustic sources with multiple frequencies and boundary measurements. Zbl 1187.65124
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
2009
Solving inverse source problems using observability. Applications to the Euler-Bernoulli plate equation. Zbl 1282.93059
Alves, Carlos; Silvestre, Ana Leonor; Takahashi, Takéo; Tucsnak, Marius
2009
The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities. Zbl 1166.74008
Alves, Carlos J. S.; Martins, Nuno F. M.
2009
Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087
Alves, Carlos; Kress, Rainer; Serranho, Pedro
2009
On the identification of star-shape sources from boundary measurements using a reciprocity functional. Zbl 1166.65392
Roberty, N. C.; Alves, C. J. S.
2009
On the determination of a Robin boundary coefficient in an elastic cavity using the MFS. Zbl 1157.74015
Alves, Carlos J. S.; Martins, Nuno F. M.
2009
Recovering the source term in a linear diffusion problem by the method of fundamental solutions. Zbl 1159.65354
Alves, Carlos J. S.; Colaço, Marcelo J.; Leitão, Vitor M. A.; Martins, Nuno F. M.; Orlande, Helcio R. B.; Roberty, Nilson C.
2008
Monte-Carlo simulation of stochastic differential systems - a geometrical approach. Zbl 1141.60042
Alves, C. J. S.; Cruzeiro, A. B.
2008
A Kansa type method using fundamental solutions applied to elliptic PDEs. Zbl 1323.65122
Alves, Carlos J. S.; Valtchev, Svilen S.
2007
Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations. Zbl 1136.35101
Alves, C. J. S.; Kress, R.; Silvestre, A. L.
2007
Advances in meshfree techniques. Invited contributions based on the presentation at the ECCOMAS thematic conference on meshless methods, Lisbon, Portugal, July 11–14, 2005. en. Zbl 1125.74003
Leitão, V. M. A. (ed.); Alves, C. J. S. (ed.); Duarte, C. Armando (ed.)
2007
Crack analysis using an enriched MFS domain decomposition technique. Zbl 1195.74148
Alves, Carlos J. S.; Leitão, Vitor M. A.
2006
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
2005
Numerical comparison of two meshfree methods for acoustic wave scattering. Zbl 1182.76924
Alves, Carlos J. S.; Valtchev, Svilen S.
2005
Density results using Stokeslets and a method of fundamental solutions for the Stokes equations. Zbl 1079.76058
Alves, C. J. S.; Silvestre, A. L.
2004
On the determination of point-forces on a Stokes system. Zbl 1075.76020
Alves, C. J. S.; Silvestre, A. L.
2004
On the identification of the flatness of a sound-hard acoustic crack. Zbl 1113.35147
Alves, C. J. S.; Serranho, P.
2004
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
2002
The method of fundamental solutions for solving Poisson problems. Zbl 1011.65086
Alves, C. J. S.; Chen, C. S.; Săler, B.
2002
Scattering by cracks: numerical simulations using a boundary finite element method. Zbl 1107.74337
Alves, C. J. S.; Pereira, B.; Serranho, P.
2002
Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium. Zbl 1028.74021
Alves, Carlos; Ammari, Habib
2001
Inverse scattering for elastic plane cracks. Zbl 0929.35170
Alves, Carlos J. S.; Ha-Duong, Tuong
1999
Numerical simulations on resonance poles – the trapping case of two plane cracks. Zbl 0955.76083
Alves, Carlos J. S.
1999
Inverse scattering with spherical incident waves. Zbl 0942.35038
Alves, Carlos J. S.
1998
On inverse scattering by screens. Zbl 0901.35106
Alves, Carlos J. S.; Ha-Duong, Tuong
1997
On the far field amplitude for elastic waves. Zbl 0893.73019
Alves, Carlos J. S.; Ha-Duong, Tuong
1997
Numerical resolution of the boundary integral equations for elastic scattering by a plane crack. Zbl 0835.73066
Alves, Carlos; Duong, Tuong Ha
1995
Numerical experiments on the resonance poles associated to acoustic and elastic scattering by a plane crack. Zbl 0874.73077
Alves, Carlos; Ha Duong, Tuong
1995
all top 5

#### Cited by 482 Authors

 21 Alves, Carlos J. S. 18 Lesnic, Daniel 16 Antunes, Pedro Ricardo Simão 15 Karageorghis, Andreas 13 Martins, Nuno F. M. 10 Valtchev, Svilen S. 8 Chen, Wen 7 Lin, Ji 7 Roberty, Nilson C. 7 Tadeu, António J. B. 6 Fan, Chia-Ming 6 Fu, Zhuojia 6 Gáspár, Csaba 6 Johansson, B. Tomas 6 Young, Dennis L. 5 Chen, Ching-Shyang 5 Grabski, Jakub Krzysztof 5 Hu, Guanghui 5 Marin, Liviu 5 Potier-Ferry, Michel 5 Sun, Linlin 5 Tsai, Chia-Cheng 5 Wei, Xing 4 António, Julieta M. P. 4 Colaço, Marcelo J. 4 Fan, Congmin 4 Freitas, Pedro 4 Gu, Yan 4 Kolodziej, Jan Adam 4 Liu, Hongyu 4 Reeve, Thomas 4 Silvestre, Ana Leonor 4 Sini, Mourad 4 Smyrlis, Yiorgos-Sokratis 4 Wang, Fajie 3 Ammari, Habib M. 3 Bernal, Francisco 3 Bin-Mohsin, Bandar 3 Bogoşel, Beniamin 3 Castro, Igor 3 Desmet, Wim 3 Godinho, Luís M. C. 3 Ji, Xia 3 Kindelan, Manuel Segura 3 Le Louër, Frédérique 3 Liu, Chein-Shan 3 Liu, Qingguo 3 Liu, Xiaodong 3 Ma, Fuming 3 Mierzwiczak, Magdalena 3 Moldovan, Ionuţ Dragoş 3 Murugesan, K. 3 Pluymers, Bert 3 Rainha, Marcelo L. S. 3 Šarler, Božidar 3 Serranho, Pedro 3 Sevroglou, Vassilios 3 Sun, Yao 3 Tri, Abdeljalil 3 Vandepitte, Dirk 3 Vatulyan, Aleksandr Ovanesovich 3 Yin, Tao 3 Young, Der-Liang 3 Zahrouni, Hamid 3 Zhang, Chuanzeng 3 Zhang, Yunxin 2 Ammari, Kais 2 Bao, Gang 2 Bergen, Bart 2 Buoso, Davide 2 Buryachenko, Valeriy A. 2 Chen, Jeng-Tzong 2 Chen, Wen 2 Choulli, Mourad 2 Cismaşiu, Ildi 2 Darbas, Marion 2 El Badia, Abdellatif 2 El Hajj, Ahmad 2 Fam, George S. A. 2 Gintides, Drossos 2 Griesmaier, Roland 2 Guo, Yukun 2 Hassine, Maatoug 2 Hematiyan, Mohammad Rahim 2 Hon, Yiu-Chung 2 Hrizi, Mourad 2 Hsu, Taiwen 2 Hu, Heng 2 Hu, Qiya 2 Jin, Bangti 2 Ku, Cheng-Yu 2 Lee, Ying-Te 2 Leitão, Vitor Manuel Azevedo 2 Li, Xiaolin 2 Lindsay, Alan E. 2 Ling, Leevan 2 Liu, Gui-Rong 2 Lu, Jun 2 Ma, Ji 2 Niu, Ruiping ...and 382 more Authors
all top 5

#### Cited in 84 Serials

 88 Engineering Analysis with Boundary Elements 18 Computers & Mathematics with Applications 15 Inverse Problems in Science and Engineering 12 Journal of Computational Physics 10 Applied Mathematics and Computation 9 Journal of Computational and Applied Mathematics 8 Inverse Problems 8 Mathematical Problems in Engineering 6 Mathematics and Computers in Simulation 6 Applied Mathematical Modelling 6 Journal of Inverse and Ill-Posed Problems 5 Computer Methods in Applied Mechanics and Engineering 5 Numerical Algorithms 4 Computers and Fluids 4 International Journal for Numerical Methods in Engineering 4 Computational Mechanics 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Scientific Computing 4 Advances in Computational Mathematics 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 Prikladnaya Matematika i Mekhanika 3 Journal of Differential Equations 3 Applied Mathematics and Mechanics. (English Edition) 3 Applied Numerical Mathematics 3 International Journal of Computer Mathematics 3 European Journal of Mechanics. B. Fluids 3 Inverse Problems and Imaging 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Mathematics and Mechanics of Solids 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Engineering Computations 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Nonlinearity 1 Physics Letters. A 1 Wave Motion 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Automatica 1 Computing 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Advances in Applied Mathematics 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Taiwanese Journal of Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Russian Physics Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Archives of Computational Methods in Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Journal of Computational Acoustics 1 International Journal of Fracture 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 SIAM Journal on Imaging Sciences 1 Advances in Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 30 Fields

 216 Numerical analysis (65-XX) 151 Partial differential equations (35-XX) 86 Mechanics of deformable solids (74-XX) 62 Fluid mechanics (76-XX) 29 Classical thermodynamics, heat transfer (80-XX) 18 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Systems theory; control (93-XX) 6 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)