IFISS swMATH ID: 4398 Software Authors: H. Elman, A. Ramage, D. Silvester Description: Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. IFISS is a graphical Matlab package for the interactive numerical study of incompressible flow problems. It includes algorithms for discretization by mixed finite element methods and a posteriori error estimation of the computed solutions. The package can also be used as a computational laboratory for experimenting with state-of-the-art preconditioned iterative solvers for the discrete linear equation systems that arise in incompressible flow modelling. A unique feature of the package is its comprehensive nature; for each problem addressed, it enables the study of both discretization and iterative solution algorithms as well as the interaction between the two and the resulting effect on overall efficiency. Homepage: http://www.maths.manchester.ac.uk/~djs/ifiss/ Dependencies: Matlab Keywords: symmetric and triangular decomposition; non-symmetric system; positive definite systems Related Software: Matlab; HSL_MI20; AGMG; PETSc; SparseMatrix; Trilinos; MatrixMarket; Sparse Grid Interpolation; ALEA; IRAM; eigs; ARPACK; JDQZ; deal.ii; FreeFem++; T-IFISS; FEniCS; Spinterp; CSparse; PARALAAOMPI Cited in: 273 Documents Further Publications: http://www.ma.man.ac.uk/~djs/ifiss/publist.html Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun 2008 all top 5 Cited by 310 Authors 23 Elman, Howard C. 22 Zhang, Guofeng 18 Ma, Changfeng 17 Liang, Zhaozheng 17 Silvester, David J. 15 Wathen, Andrew John 13 Cao, Yang 11 Huang, Na 11 Huang, Ting-Zhu 9 Benzi, Michele 9 Khojasteh Salkuyeh, Davod 8 Fan, Hongtao 8 Pearson, John W. 7 Li, Cuixia 7 Miao, Shu-Xin 7 Stoll, Martin 7 Wu, Shiliang 7 Zheng, Qingqing 6 Lee, Kookjin 6 Li, Wen 6 Pestana, Jennifer 6 Powell, Catherine Elizabeth 6 Zheng, Bing 6 Zhu, Xinyun 5 Liao, Lidan 5 Liu, Jun 5 Lu, Junfeng 5 Niu, Qiang 5 Peng, Xiaofei 5 Sousedík, Bedřich 5 Wang, Zhen 4 Axelsson, Axel Owe Holger 4 Benner, Peter 4 Gu, Chuanqing 4 Kürschner, Patrick 4 Liao, Qifeng 4 Masoudi, Mohsen 4 Meerbergen, Karl 4 Ramage, Alison 4 Shen, Shuqian 4 Vandebril, Raf 4 Xue, Fei 4 Zhang, Juli 4 Zhang, Naimin 3 Bespalov, Alexei 3 Camps, Daan 3 Dou, Yan 3 Gondzio, Jacek 3 Howle, Victoria E. 3 Li, Ruixia 3 Lu, Linzhang 3 Porcelli, Margherita 3 Simoncini, Valeria 3 Su, Tengfei 3 Tuminaro, Ray S. 3 Wang, Shanshan 3 Wang, Zhu 3 Xie, Yajun 3 Yao, Linquan 3 Zhang, Jing 2 Arioli, Mario 2 Beik, Fatemeh Panjeh Ali 2 Bochev, M. A. 2 Chao, Zhen 2 Chen, Guoliang 2 Gao, Xingbao 2 Garmatter, Dominik 2 Golub, Gene Howard 2 Hu, Zejun 2 Huang, Zhuohong 2 Ju, Lili 2 Ke, Yifen 2 Khan, Arbaz 2 Li, Jicheng 2 Li, Jingtao 2 Li, Sen 2 Li, Yajing 2 Liesen, Jörg 2 McDonald, Eleanor 2 Mehrmann, Volker 2 Ng, Michael Kwok-Po 2 Notay, Yvan 2 Olshanskii, Maxim A. 2 Orban, Dominique 2 Palitta, Davide 2 Price, Randy 2 Rahimian, Maryam 2 Rinaldi, Francesco 2 Saak, Jens 2 Shadid, John N. 2 Shen, Qin-Qin 2 Shi, Quan 2 Steel, Thijs 2 Szyld, Daniel B. 2 Tan, Ningbo 2 Tuminaro, Raymond S. 2 Wang, Li 2 Wu, Shulin 2 Wu, Yujiang 2 Xiong, Jinsong ...and 210 more Authors all top 5 Cited in 54 Serials 30 SIAM Journal on Scientific Computing 29 Computers & Mathematics with Applications 27 Applied Mathematics and Computation 23 Journal of Computational and Applied Mathematics 18 Numerical Algorithms 14 Computational and Applied Mathematics 12 SIAM Journal on Matrix Analysis and Applications 9 Journal of Computational Physics 9 Applied Mathematics Letters 7 BIT 7 Applied Numerical Mathematics 7 Numerical Linear Algebra with Applications 6 SIAM/ASA Journal on Uncertainty Quantification 5 Journal of Scientific Computing 5 Linear Algebra and its Applications 5 East Asian Journal on Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Numerische Mathematik 4 Computational Optimization and Applications 4 ETNA. Electronic Transactions on Numerical Analysis 3 ACM Transactions on Mathematical Software 2 Computing 2 International Journal of Computer Mathematics 2 SIAM Review 2 Advances in Computational Mathematics 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics & Informatics 2 Numerical Mathematics and Scientific Computation 1 International Journal for Numerical Methods in Fluids 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 Calcolo 1 SIAM Journal on Numerical Analysis 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Far East Journal of Applied Mathematics 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 International Journal of Contemporary Mathematical Sciences 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Numerical Algebra, Control and Optimization 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 SIAM Spotlights 1 AIMS Mathematics 1 Monographs and Research Notes in Mathematics 1 Cambridge Texts in Applied Mathematics all top 5 Cited in 19 Fields 262 Numerical analysis (65-XX) 63 Fluid mechanics (76-XX) 43 Partial differential equations (35-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 12 Probability theory and stochastic processes (60-XX) 10 Operations research, mathematical programming (90-XX) 8 Systems theory; control (93-XX) 4 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year