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Conceptual modelling: Towards detecting modelling errors in engineering applications (2019)
Gürlebeck, Klaus ; Legatiuk, Dmitrii ; Nilsson, Henrik ; Smarsly, Kay
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.
Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM (2017)
Alalade, Muyiwa ; Nguyen-Tuan, Long ; Wuttke, Frank ; Lahmer, Tom
Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM.
PDE based determination of piezoelectric material tensors (2006)
Kaltenbacher, Barbara ; Lahmer, Tom ; Mohr, Marcus ; Kaltenbacher, Manfred
PDE based determination of piezoelectric material tensors.
Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials (2008)
Lahmer, Tom ; Kaltenbacher, Manfred ; Kaltenbacher, Barbara ; Lerch, Reinhard ; Leder, Erich
Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials.
Optimal measurement selection for piezoelectric material tensor identification (2008)
Lahmer, Tom ; Kaltenbacher, Barbara ; Schulz, V.
Optimal measurement selection for piezoelectric material tensor identification.
Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity (2009)
Lahmer, Tom
Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity
Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method (2009)
Hauck, A. ; Lahmer, Tom ; Kaltenbacher, Manfred
Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method
Optimal positioning of sensors for the monitoring of water dams (2010)
Lahmer, Tom ; Könke, Carsten ; Bettzieche, Volker
Optimal positioning of sensors for the monitoring of water dams
Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung (2010)
Lahmer, Tom ; Könke, Carsten ; Bettzieche, Volker
Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung
Crack identification in hydro-mechanical systems with applications to gravity water dams (2010)
Lahmer, Tom
Crack identification in hydro-mechanical systems with applications to gravity water dams
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