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Conceptual modelling: Towards detecting modelling errors in engineering applications



Dmitrii Legatiuk

Henrik Nilsson

Kay Smarsly


Rapid advancements of modern technologies put high demands on mathematical modelling of engineering systems. Typically, systems are no longer “simple” objects, but rather coupled systems involving multiphysics phenomena, the modelling of which involves coupling of models that describe different phenomena. After constructing a mathematical model, it is essential to analyse the correctness of the coupled models and to detect modelling errors compromising the final modelling result. Broadly, there are two classes of modelling errors: (a) errors related to abstract modelling, eg, conceptual errors concerning the coherence of a model as a whole and (b) errors related to concrete modelling or instance modelling, eg, questions of approximation quality and implementation. Instance modelling errors, on the one hand, are relatively well understood. Abstract modelling errors, on the other, are not appropriately addressed by modern modelling methodologies. The aim of this paper is to initiate a discussion on abstract approaches and their usability for mathematical modelling of engineering systems with the goal of making it possible to catch conceptual modelling errors early and automatically by computer assistant tools. To that end, we argue that it is necessary to identify and employ suitable mathematical abstractions to capture an accurate conceptual description of the process of modelling engineering systems


Gürlebeck, K., Legatiuk, D., Nilsson, H., & Smarsly, K. (2020). Conceptual modelling: Towards detecting modelling errors in engineering applications. Mathematical Methods in the Applied Sciences, 43(3), 1243-1252.

Journal Article Type Article
Acceptance Date Sep 3, 2019
Online Publication Date Dec 9, 2019
Publication Date 2020-02
Deposit Date Sep 4, 2020
Publicly Available Date Sep 7, 2020
Journal Mathematical Methods in the Applied Sciences
Print ISSN 0170-4214
Electronic ISSN 1099-1476
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 43
Issue 3
Pages 1243-1252
Keywords General Engineering; General Mathematics
Public URL
Publisher URL
Additional Information Received: 2019-04-23; Accepted: 2019-09-03; Published: 2019-12-09


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