ALBERT swMATH ID: 25 Software Authors: Schmidt, A.; Siebert, K.G. Description: ALBERT - Software for scientific computations and applications. Adaptive finite element methods (FEMs) are a modern, widely used tool which make realistic computations feasible, even in three space dimensions. We describe the basic ideas and ingredients of adaptive FEM and the implementation of our toolbox ALBERT. The design of ALBERT is based on the natural hierarchy of locally refined meshes and an abstract concept of general finite element spaces. As a result, dimension independent programming of applications is possible. Numerical results from applications in two and three space dimensions demonstrate the flexibility of ALBERT. Homepage: http://www.alberta-fem.de/ Keywords: mesh refinement; error control; ALBERT; adaptive methods Related Software: ALBERTA; FreeFem++; Netgen; PETSc; Triangle; TetGen; ARPACK; deal.ii; hypre; UG; PLTMG; bamg; LYAPACK; AFEM; pdelib; PARDISO; Matlab; BL2D-V2; ParMETIS; Gmsh Cited in: 83 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year ALBERT—Software for scientific computations and applications. Zbl 0993.65134Schmidt, Alfred; Siebert, K. G. 2001 all top 5 Cited by 114 Authors 14 Nochetto, Ricardo Horacio 14 Siebert, Kunibert G. 8 Schmidt, Alfred 6 Baňas, Ľubomír 6 Bänsch, Eberhard 6 Barrett, John William 6 Chen, Zhiming 6 Nürnberg, Robert 6 Veeser, Andreas 5 Morin, Pedro 5 Voigt, Axel 4 Hausser, Frank 3 Lakkis, Omar 3 Ohlberger, Mario 3 Prohl, Andreas 3 Ray, Tanushree 3 Rumpf, Martin 3 Sinha, Rajen Kumar 3 Zheng, Weiying 2 Fried, Michael Johannes 2 Kessler, Daniel P. 2 Mekchay, Khamron 2 Wang, Long 1 Bamberger, Alain 1 Bartels, Sören 1 Bastian, Peter 1 Benner, Peter 1 Bermejo, Rodolfo 1 Blowey, James F. 1 Burman, Erik 1 Carpio, Jaime 1 Cascón, José Manuel 1 Chen, Hongsen 1 Chen, Junqing 1 Chen, Long 1 Chen, Zhangxin 1 Cimrák, Ivan 1 Cui, Ming 1 Dedner, Andreas S. 1 Demlow, Alan 1 Droske, Marc 1 Du, Qiang 1 Dzhumadil’daev, Askar Serkulovich 1 El Alaoui, Linda 1 Engwer, Christian 1 Ern, Alexandre 1 Ewing, Richard Edward 1 Feng, Jia 1 Ferragut, Luis 1 Fuhrmann, Jürgen 1 Garcke, Harald 1 Giani, Stefano 1 Graham, Ivan G. 1 Haasdonk, Bernard 1 Hackl, Klaus 1 Hanssen, Nils 1 Heine, Claus-Justus 1 Ji, Guanghua 1 Kimura, Masato 1 Kirby, Robert C. 1 Klöfkorn, Robert 1 Knepley, Matthew G. 1 Komura, Hideki 1 Köster, Daniel 1 Kreuzer, Christian 1 Kriessl, Oliver 1 Langmach, Hartmut 1 Li, Bo 1 Li, Ruo 1 Liao, Xiaohai 1 Linke, Alexander 1 Liu, Qingkai 1 Makridakis, Charalambos G. 1 Marcuzzi, Fabio 1 Micheletti, Stefano 1 Mikula, Karol 1 Mimura, Masayasu 1 Miyoshi, Hidenori 1 Mo, Zeyao 1 Möller, Christian A. 1 Morandi Cecchi, Maria 1 Mosler, Jörn 1 Neubauer, Thimo 1 Ortiz, Michael 1 Pérez, F. A. 1 Perotto, Simona 1 Picasso, Marco 1 Qin, Guan 1 Rappaz, Jacques 1 Rohde, Christian 1 Saak, Jens 1 Schatzle, Reiner 1 Schmidt, Jochen Wilhelm 1 Schmidt, M. O. 1 Schupp, Bernhard 1 Scott, Larkin Ridgway 1 Shu, Shi 1 Slodička, Marián 1 Takaishi, Takeshi 1 Terrel, Andy R. ...and 14 more Authors all top 5 Cited in 37 Serials 10 SIAM Journal on Numerical Analysis 9 Mathematics of Computation 6 Numerische Mathematik 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 IMA Journal of Numerical Analysis 3 Applied Numerical Mathematics 3 SIAM Journal on Scientific Computing 3 Computing and Visualization in Science 2 Journal of Computational Physics 2 Computing 2 Journal of Scientific Computing 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Optimization 1 Experimental Mathematics 1 Communications in Numerical Methods in Engineering 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Computational Science and Engineering 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Cited in 19 Fields 74 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 9 Optics, electromagnetic theory (78-XX) 8 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year