×

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
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

Citations by Year