## Wesseling

 swMATH ID: 9677 Software Authors: Peter Wesseling Description: A single processor public domain Fortran-77 code written by Pieter Wesseling. The file mglab.for is a tutorial multigrid program. It solves elliptic boundary values in one dimension. The user may choose various multigrid cycles, transfer operators, smoothing methods, and nested iteration, and defect correction. Cell centered and vertex centered discretization and multigrid is included. Documentation is included in the program. The program is written in portable Fortran-77, and has run on MS-DOS PC’s and Unix based computers. The methods used are fully described in the following book: An Introduction to Multigrid Methods, Wiley, Chichester, 1992 by P. Wesseling. Homepage: http://www.mgnet.org/mgnet-codes.html Related Software: LFA; Trilinos; PETSc; CGS; LAPACK; hypre; Gerris; BoomerAMG; FEATFLOW; UMFPACK; PLTMG; RODAS; Matlab; symrcm; MGNet; CutFEM; NITSOL; Mathematica; PARDISO; FFTW Cited in: 323 Publications
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### Cited by 554 Authors

 25 Zhang, Jun 22 Gaspar, Francisco José 20 Rodrigo, Carmen 10 Lisbona Cortés, Francisco Javier 10 Oosterlee, Cornelis Willebrordus 7 Ge, Yongbin 7 MacLachlan, Scott P. 6 Knoll, Dana A. 5 Shiralashetti, Siddu Channabasappa 5 Stoll, Martin 4 Bujurke, Nagendrappa M. 4 Dehghan Takht Fooladi, Mehdi 4 Geurts, Bernard J. 4 Iliev, Oleg P. 4 Kudenatti, Ramesh B. 4 Pinto, Marcio Augusto Villela 4 Ramage, Alison 4 Sun, Haiwei 4 Vuik, Cornelis 4 Wang, Yin 3 Bosch, Jessica 3 Cao, Fujun 3 Chacón, Luis 3 Chen, Ke 3 de Prenter, Frits 3 Drikakis, Dimitris 3 Elman, Howard C. 3 Gracia, José Luis 3 Keyes, David Elliot 3 Moghaderi, Hamid 3 Nabben, Reinhard 3 Prasada Rao, D. R. V. 3 Salinas, Pablo 3 Shapeev, Vasiliĭ Pavlovich 3 Tang, Jok M. 3 Tian, Zhenfu 3 Tuminaro, Ray S. 3 Vorozhtsov, Evgeniĭ Vasil’evich 3 Wienands, Roman 3 Yu, Peixiang 2 Abdullah, Abdul Rahman Bin 2 Almgren, Ann S. 2 Badshah, Noor 2 Bastiaans, Rob J. M. 2 Bell, John B. 2 Benner, Peter 2 Braess, Dietrich 2 Brown, Jed 2 Carré, Gilles 2 Colella, Phillip 2 Company, Rafael 2 Darmofal, David L. 2 Deshi, Aravind B. 2 Désidéri, Jean-Antoine 2 Erlangga, Yogi A. 2 Fabien, Maurice S. 2 Fakharany, M. 2 Fournier, Luc 2 Franco, Sebastião Romero 2 Fraysse, François 2 Gambaryan-Roisman, Tatiana 2 Ghaffar, Fazal 2 Glowinski, Roland 2 Gravemeier, Volker 2 Griebel, Michael 2 Gupta, Murli M. 2 He, Yunhui 2 Heuveline, Vincent 2 Howell, Louis H. 2 Hu, Xiaozhe 2 Islam, Saeed 2 Jeong, Darae 2 Kantli, Mounesha H. 2 Karaa, Samir 2 Kim, Junseok 2 Knepley, Matthew G. 2 Koren, Barry 2 Kouatchou, Jules 2 Lanteri, Stéphane 2 Lapenta, Giovanni 2 Lien, Fue-Sang 2 Llorente, Ignacio Martín 2 Luo, Peiyao 2 Mavriplis, Dimitri J. 2 Medina, Miguel A. jun. 2 Mittal, Rajat 2 Montero, Ruben S. 2 Mousseau, Vincent A. 2 Mundewadi, Ravikiran A. 2 Napov, Artem 2 Notay, Yvan 2 Othman, Mohamed Bin 2 Paisley, M. F. 2 Rauschenberger, Philipp 2 Rhebergen, Sander 2 Saad, Yousef 2 Sahin, Mehmet 2 Salas, Manuel D. 2 Salimath, Chandrasekhar 2 Savage, Joseph ...and 454 more Authors
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### Cited in 78 Serials

 81 Journal of Computational Physics 25 Journal of Computational and Applied Mathematics 23 Applied Mathematics and Computation 13 Computer Methods in Applied Mechanics and Engineering 13 Applied Numerical Mathematics 12 Computers and Fluids 12 SIAM Journal on Scientific Computing 11 Computers & Mathematics with Applications 8 BIT 7 Numerical Linear Algebra with Applications 5 Computing 5 Journal of Scientific Computing 5 International Journal of Computer Mathematics 5 Computing and Visualization in Science 5 Archives of Computational Methods in Engineering 4 Computer Physics Communications 4 International Journal for Numerical Methods in Fluids 3 Communications in Numerical Methods in Engineering 3 Mathematical Problems in Engineering 3 Flow, Turbulence and Combustion 3 Communications in Computational Physics 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 Computational Mechanics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Advances in Computational Mathematics 2 International Journal of Computational Methods 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Numerical Functional Analysis and Optimization 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Computational Mathematics and Mathematical Physics 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Advances in Engineering Software 1 International Journal of Modern Physics D 1 Physics of Fluids 1 International Journal of Computer Vision 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Inverse and Ill-Posed Problems 1 Applied Mathematical Finance 1 Science in China. Series E 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Far East Journal of Applied Mathematics 1 Computational Geosciences 1 Journal of Turbulence 1 Differential Equations 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Inverse Problems in Science and Engineering 1 Tbilisi Mathematical Journal 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Palestine Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Applied and Computational Mathematics 1 Applied Mathematics and Nonlinear Sciences
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### Cited in 29 Fields

 255 Numerical analysis (65-XX) 130 Fluid mechanics (76-XX) 114 Partial differential equations (35-XX) 17 Mechanics of deformable solids (74-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Computer science (68-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Biology and other natural sciences (92-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 5 Information and communication theory, circuits (94-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)