2020
DOI: 10.1007/978-3-030-55874-1_49
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Biomechanical Surrogate Modelling Using Stabilized Vectorial Greedy Kernel Methods

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Cited by 3 publications
(7 citation statements)
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“… 2015 ; Haasdonk et al. 2021 ). However, here we exactly ensure the energy conservation property of Eq.…”
Section: Energy-conserving Surrogate Modelsmentioning
confidence: 99%
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“… 2015 ; Haasdonk et al. 2021 ). However, here we exactly ensure the energy conservation property of Eq.…”
Section: Energy-conserving Surrogate Modelsmentioning
confidence: 99%
“… 2015 ; Haasdonk et al. 2021 ) with three coupled DOFs but did not conserve mechanical energy during motion. The first nonlinear surrogates that include coupling of all six DOFs, and conservation of energy (bottom right) are presented in this work and base on kernel or polynomial approximations …”
Section: Introductionmentioning
confidence: 99%
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“…In contrast to earlier work (Wirtz et al, 2015;Haasdonk et al, 2021), here we want to exactly ensure the energy conservation property of Equation (2). To do so, we use a curl-free variant of the Gaussian kernel (Drake et al, 2022) that is a matrix-valued kernel given by…”
Section: Energy Conserving Kernel Modelsmentioning
confidence: 99%
“…To link detailed FE and NMS MB models, one can make use of hybrid models (Azari et al, 2018;Khoddam-Khorasani et al, 2018), with only slightly reduced computational cost compared to the pure FE models. A popular alternative approach is to use a detailed model to generate a multidimensional database and find a mathematical description, i.e., a surrogate, to map the resulting 6d displacements in an intervertebral joint to the six elastic responses component-wise (Karajan et al, 2013;Wirtz et al, 2015;Haasdonk et al, 2021). However, this procedure is associated with the aforementioned problem of the lack of energy conservation when kinetic coupling is included.…”
Section: Introductionmentioning
confidence: 99%