Computer Methods in Applied Mechanics and Engineering
Object-oriented finite elements I. Principles of symbolic derivations and automatic programming
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Cited by (33)
Easy pre/post-processing of finite elements with custom symbolic-objects: A self-expressive Python interface
2019, Computers and StructuresCitation Excerpt :They used dynamic techniques for code linking and class inheritance and proposed a flexible and easy-to-use input-file format. The research works of [18–20] are an ingenious attempt to automatically derive FE equations. They presented an interactive symbolic OO environment for the derivation of the weak form, its discretization, and the matrix forms of a given initial-boundary-value problem.
An object-oriented symbolic approach to the automated derivation of finite element contributions
2016, Advances in Engineering SoftwareCitation Excerpt :In [27], the symbolic manipulations are held in MATHEMATICA in which the symbolic FEM package has been introduced. In [10] and [29], a computational kernel has been built independently. This approach is probably not so efficient as using an existing symbolic package but offers the advantage of being totally decoupled from existing tools.
An object-oriented framework for finite element analysis based on a compact topological data structure
2014, Advances in Engineering SoftwareImplementation of a strain energy-based nonlinear finite element in the object-oriented environment
2010, Computer Physics CommunicationsCitation Excerpt :In papers [3,4] the authors showed the exemplary application of the object-oriented mathematical library. Undoubtedly, the original articles were written by Eyheramendy and Zimmerman [31–34] who, using the object-oriented techniques, proposed both the symbolical and numerical environment. Some works [35–38] concern specific problems which were considered and resolved with the help of classes.
A toolkit for numerical simulation of PDEs. II. Solving generic multiphysics problems
2004, Computer Methods in Applied Mechanics and EngineeringCitation Excerpt :By modularizing the solver, it becomes easier to solve different physical phenomena with the same numerical code. One application of modularity is the research of Eyheramendy and Zimmerman [2–4] who have developed a toolkit for semi-automatic symbolic derivation of linear finite-element models of initial-boundary-value problems. In more recent work [5], non-linear problems are also supported.
Object-oriented programming in FEM and BEM: A bibliography (1990-2003)
2004, Advances in Engineering Software