S. Ganesan & L. Tobiska :
Finite Elements: Theory and Algorithms.
Cambridge University Press, 2017, ISBN: 9781108415705.
More DetailsWritten in easy to understand language, this self-explanatory guide introduces the fundamentals of finite element methods and its application to differential equations. Beginning with a brief introduction to Sobolev spaces and elliptic scalar problems, the text progresses through an explanation of finite element spaces and estimates for the interpolation error. The concepts of finite element methods for parabolic scalar parabolic problems, object-oriented finite element algorithms, efficient implementation techniques, and high dimensional parabolic problems are presented in different chapters. Recent advances in finite element methods, including non-conforming finite elements for boundary value problems of higher order and approaches for solving differential equations in high dimensional domains are explained for the benefit of the reader. Numerous solved examples and mathematical theorems are interspersed throughout the text for enhanced learning. Indian Edition (available at Amazon) International Edition |
S. Ganesan, A. Hahn, K. Simon, L. Tobiska:
Finite Element Computations for Dynamic Liquid-Fluid Interfaces.
In: M. T. Rahni, M. Karbaschi and R. Miller, editors, Computational Methods for Complex Liquid-Fluid Interfaces, CRC Press, Taylor and Francis Group, (2015) Ch.16, Pages: 331--351, ISBN: 9781498722087 (online) |
S. Ganesan, B. Pal, S.Srivastava:
Simulation of two-phase flows with surfactants.
In: N. K. Gupta, A. V. Manzhirov, and R. Velmurugan, editor, Topical problems in theoretical and applied mechanics, Elite Publishing House Pvt. Ltd., (2013) Pages: 418 - 425, ISBN: 978-81-88901-55-5 |
S. Ganesan, Bhanu Teja:
A multi-level finite element discretization for efficient solution of multidimensional population balance system.
In: S. Sundar, editor, Advances in PDE Modeling and Computation, Ane Books Pvt. Ltd., (2013), Pages: 105 - 118 (online) |
S. Ganesan, S. Rajasekaran, L. Tobiska:
An ALE-based finite element method for the simulation of an impinging droplet on a hot surface.
In: S. Sundar, editor, Advances in PDE Modeling and Computation, Ane Books Pvt. Ltd., (2013), Pages: 35 - 53 (online) |
S. Ganesan, L. Tobiska:
Finite Element Simulation of an Impinging Liquid Droplet.
In: Albrecht Bertram and Jürgen Tomas, editor, Micro-Macro-
Interactions In Structured Media and Particle Systems, Springer,
(2008) (online) |
S. Ganesan, L. Tobiska:
A Finite Element Method for the Simulation of a Liquid Droplet Impinging on a Solid Surface.
In: Palle Jorgensen, Xiaoping Shen, Chi-Wang Shu and Ningning Yan, editor, RECENT ADVANCES IN COMPUTATIONAL SCIENCES, World Scientific, (2008)
(online) |
S. Ganesan, A. Hahn, K. Held, L. Tobiska:
An accurate numerical method for computation of two-phase flows with surfactants.
ECCOMAS 2012, J. Eberhardsteiner et. al. (eds.), Vienna, Austria., Sept 10-14,
CD-ROM, ISBN: 978-3-9502481-9-7
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M. Krasnyk, M. Mangold, S. Ganesan, L. Tobiska:
Reduction of a Crystallizer Model by Proper Orthogonal Decomposition.
Proceedings of 4th International Conference on Population Balance Modelling, Berlin, 301--317, 2010
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L. Tobiska, S. Ganesan:
Finite element methods for interface flows with surfactants.
Mathematisches Forschungsinstitut Oberwolfach, Workshop: New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries, 2010
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S. Ganesan, L. Tobiska:
Non-Isothermal Spreading of a Liquid Droplet with Dynamic Contact Angles on a Horizontal Surface.
Proceedings of International Conference on Multiphase Flow, Leipzig, Germany, 2007 (publication) |
S. Ganesan, L. Tobiska:
On the Influence of Finite Element Discretisations on Spurious Velocities in Two-Phase Flows.
Proceedings of International Conference on Multiphase Flow, Leipzig, Germany, 2007 (publication) |
S. Ganesan, L. Tobiska:
Computations of flows with interfaces using arbitrary Lagrangian Eulerian method.
Proceedings of ECCOMAS CFD 2006, Egmond aan Zee, The Netherlands, ISBN 90-9020970-0, 2006(publication) |
S. Ganesan, L. Tobiska:
Finite element simulation of a
droplet impinging a horizontal surface.
Proceedings of Algoritmy 2005 , Podbanske, Slovakia,
ISBN 80-227-2192-1, 1--11. 2005 |
S. Ganesan, L. Tobiska:
Droplet Deformation with Navier Slip and Free Boundaries by Finite Elements.
Mini-Workshop: Interface Problems in Computational Fluid Dynamics,
Mathematisches Forschungsinstitut Oberwolfach , Organized by: Noel J. Walkington, Lutz Tobiska and Eberhard Baensch,
European Mathematical Society, 2(1), 474--476, 2005 |