https://puma.ub.uni-stuttgart.de/group/simtech/analysisPUMA RSS feed for /group/simtech/analysis2026-04-23T05:51:41+02:00https://puma.ub.uni-stuttgart.de/bibtex/23eb9b24ed2183a2102ad741efde6a5c8/mariawirzbergermariawirzberger2025-09-12T20:18:51+02:00myown cluster analysis personas sustainability behavior <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Laura Höpfl" itemprop="url" href="/person/114e755dab2f9215e0c77dbd14917426e/author/0"><span itemprop="name">L. Höpfl</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Maximilian Grimlitza" itemprop="url" href="/person/114e755dab2f9215e0c77dbd14917426e/author/1"><span itemprop="name">M. Grimlitza</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Isabella Lang" itemprop="url" href="/person/114e755dab2f9215e0c77dbd14917426e/author/2"><span itemprop="name">I. Lang</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Maria Wirzberger" itemprop="url" href="/person/114e755dab2f9215e0c77dbd14917426e/author/3"><span itemprop="name">M. Wirzberger</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Humanities and Social Sciences Communications</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">11 </span></span>(<span itemprop="issueNumber">1</span>): <span itemprop="pagination">1--12</span></em> </span>(<em><span>2024<meta content="2024" itemprop="datePublished"/></span></em>)</span>Fri Sep 12 20:18:51 CEST 2025Humanities and Social Sciences Communications11--12Promoting sustainable behavior: addressing user clusters through targeted incentives112024myown cluster analysis personas sustainability behavior Given the urgency of climate change action and the significant climate impact of household emissions, understanding the drivers of individuals’ sustainable behavior patterns is more important than ever. Consequently, we investigate whether different clusters of individual users can be distinguished regarding sustainability-related values, attitudes, and intentions. If these diverse clusters exist, we can explore tailored approaches to promote sustainable behavior patterns among them based on their unique needs and targets. For this purpose, we employ a mixed-method approach combining qualitative interviews with a quantitative survey. The obtained insights help us identify core factors that drive sustainable behavior, develop representations of different user groups, and suggest individualized interventions for supporting sustainable behavior patterns. The qualitative part comprised interviews with ten participants, resulting in the development of qualitative personas. Emerging differences could subsequently be used to select validated psychological scales for the quantitative part to confirm the differences. Applying data-driven clustering, we identify five intention-based clusters that vary regarding factors such as belief in climate change, collaboration, or skepticism concerning sustainability. Building on both qualitative and quantitative insights, five validated personas are created for research and practical use. These personas include Socially Sustainable, Responsible Savers, Unconcerned Spenders, Comfort-Oriented, and Skeptical Consumers. Individuals corresponding to the selected persona may, for example, respond positively to sustainability benefits, while others may be more receptive to hedonistic benefits. Addressing related varying motivational factors raises the demand for individualized interventions. These could be achieved by incorporating the personas’ needs with more individualized products and services to promote sustainable behavior.https://puma.ub.uni-stuttgart.de/bibtex/25f5ee26748b071079c32fd33ce47b9c7/elkepeterelkepeter2023-03-27T11:15:44+02:00Lienstromberg IADM systems microelectromechanical qualitative solutions of to analysis <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Joachim Escher" itemprop="url" href="/person/157bcec82c654b77435bedbd12b4dccc8/author/0"><span itemprop="name">J. Escher</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christina Lienstromberg" itemprop="url" href="/person/157bcec82c654b77435bedbd12b4dccc8/author/1"><span itemprop="name">C. Lienstromberg</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Comm. Partial Differential Equations</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">41 </span></span>(<span itemprop="issueNumber">1</span>): <span itemprop="pagination">134--149</span></em> </span>(<em><span>2016<meta content="2016" itemprop="datePublished"/></span></em>)</span>Mon Mar 27 11:15:44 CEST 2023Comm. Partial Differential Equations1134--149A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile412016Lienstromberg IADM systems microelectromechanical qualitative solutions of to analysis https://puma.ub.uni-stuttgart.de/bibtex/26542ad7fbcea229e7f345790a76dbc7f/elkepeterelkepeter2023-03-13T12:12:09+01:00Lienstromberg Analysis IADM PDEs gradient-flow FOS <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Peter Gladbach" itemprop="url" href="/person/1939b1f264055663e904645113e2b2e05/author/0"><span itemprop="name">P. Gladbach</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jonas Jansen" itemprop="url" href="/person/1939b1f264055663e904645113e2b2e05/author/1"><span itemprop="name">J. Jansen</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christina Lienstromberg" itemprop="url" href="/person/1939b1f264055663e904645113e2b2e05/author/2"><span itemprop="name">C. Lienstromberg</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"> </span>(<em><span>2023<meta content="2023" itemprop="datePublished"/></span></em>)</span>Mon Mar 13 12:12:09 CET 2023Non-Newtonian thin-film equations: global existence of solutions, gradient-flow structure and guaranteed lift-off2023Lienstromberg Analysis IADM PDEs gradient-flow FOS We study the gradient-flow structure of a non-Newtonian thin film equation with power-law rheology. The equation is quasilinear, of fourth order and doubly-degenerate parabolic. By adding a singular potential to the natural Dirichlet energy, we introduce a modified version of the thin-film equation. Then, we set up a minimising-movement scheme that converges to global positive weak solutions to the modified problem. These solutions satisfy an energy-dissipation equality and follow a gradient flow. In the limit of a vanishing singularity of the potential, we obtain global non-negative weak solutions to the power-law thin-film equation ∂tu+∂x(m(u)|∂3xu−G′′(u)∂xu|α−1(∂3xu−G′′(u)∂xu))=0 with potential G in the shear-thinning (α>1), Newtonian (α=1) and shear-thickening case (0<α<1). The latter satisfy an energy-dissipation inequality. Finally, we derive dissipation bounds in the case G≡0 which imply that solutions emerging from initial values with low energy lift up uniformly in finite time.https://puma.ub.uni-stuttgart.de/bibtex/2cf82c2cba53516e9630c31dbf5760ea5/inspo5inspo52022-07-19T11:10:29+02:00biomechanics analysis endurance estimation fatigue optimization dynamics parameter sensitivity time first-order <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Robert Rockenfeller" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/0"><span itemprop="name">R. Rockenfeller</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Michael Günther" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/1"><span itemprop="name">M. Günther</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Norman Stutzig" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/2"><span itemprop="name">N. Stutzig</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Daniel F. B. Haeufle" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/3"><span itemprop="name">D. Haeufle</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Siebert" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/4"><span itemprop="name">T. Siebert</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Syn Schmitt" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/5"><span itemprop="name">S. Schmitt</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kay Leichsenring" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/6"><span itemprop="name">K. Leichsenring</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Markus Böl" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/7"><span itemprop="name">M. Böl</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Thomas Götz" itemprop="url" href="/person/1f9d277a1e8c689ed9606efdfca787b8f/author/8"><span itemprop="name">T. Götz</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Frontiers in Physiology</span>, </em> </span>(<em><span>Mai 2020<meta content="Mai 2020" itemprop="datePublished"/></span></em>)</span>Tue Jul 19 11:10:29 CEST 2022Frontiers in Physiology05Exhaustion of Skeletal Muscle Fibers Within Seconds: Incorporating Phosphate Kinetics Into a Hill-Type Model112020biomechanics analysis endurance estimation fatigue optimization dynamics parameter sensitivity time first-order https://puma.ub.uni-stuttgart.de/bibtex/24c4e8721f29b1ea5976a6d62d1fd7c1e/mariawirzbergermariawirzberger2021-11-25T21:00:30+01:00myown schools survival learning analysis COVID-19 <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Markus Wolfgang Hermann Spitzer" itemprop="url" href="/person/137155827da23b554fdcc78e1a52f3cc2/author/0"><span itemprop="name">M. Spitzer</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Raphael Gutsfeld" itemprop="url" href="/person/137155827da23b554fdcc78e1a52f3cc2/author/1"><span itemprop="name">R. Gutsfeld</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Maria Wirzberger" itemprop="url" href="/person/137155827da23b554fdcc78e1a52f3cc2/author/2"><span itemprop="name">M. Wirzberger</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Korbinian Moeller" itemprop="url" href="/person/137155827da23b554fdcc78e1a52f3cc2/author/3"><span itemprop="name">K. Moeller</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Trends in Neuroscience and Education</span>, </em> </span>(<em><span>Dezember 2021<meta content="Dezember 2021" itemprop="datePublished"/></span></em>)</span>Thu Nov 25 21:00:30 CET 2021Trends in Neuroscience and Education12100168Evaluating students' engagement with an online learning environment during and after {COVID}-19 related school closures: A survival analysis approach252021myown schools survival learning analysis COVID-19 Evaluating students’ engagement with an online learning environment during and after COVID-19 related school closures: A survival analysis approach - ScienceDirecthttps://puma.ub.uni-stuttgart.de/bibtex/2caeb335741272a191839dd3fd993fcbe/elkepeterelkepeter2021-10-08T19:59:18+02:00iadm Hänel elastic analysis Dirichlet-to-Neumann <meta content="thesis" itemprop="educationalUse"/><span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="André Hänel" itemprop="url" href="/person/10279573e7b0ce47b72d05612f6ec0663/author/0"><span itemprop="name">A. Hänel</span></a></span></span>. </span><span class="additional-entrytype-information"><em>Universität Stuttgart, </em><em>Stuttgart, </em><em><span itemprop="educationalUse">Dissertation</span>, </em>(<em><span>2015<meta content="2015" itemprop="datePublished"/></span></em>)</span>Fri Oct 08 19:59:18 CEST 2021StuttgartSingular problems in quantum and elastic waveguides via Dirichlet-to-Neumann analysis.Dissertation2015iadm Hänel elastic analysis Dirichlet-to-Neumann "The present work is concerned with the existence and the behaviour of discrete eigenvalues arising from a perturbation of an infinite waveguide in quantum mechanics or elasticity theory. Physically, eigenvalues correspond to bound states in quantum me-chanics or harmonic oscillations near imperfections such as cracks and holes in elasticity theory. They play an important role in applications in science and industry such as non-destructive testing theory of sensitive structures (e.g. wings of air planes, nuclear components etc.). More specifically we consider the asymptotic behaviour of the discrete eigenvalues for small perturbations which arise from a change of the boundary conditions on a small sub-set of the boundary. From the spectral-theoretic point of view this kind of perturbation is of particular interest since standard methods such as the Birman-Schwinger principle for handling additive perturbations of operators fail. To determine the asymptotic be-haviour of the discrete eigenvalues we shall use a pseudo-differential approach which is based on an analysis of the corresponding Dirichlet-to-Neumann operator. This method is of benefit mainly because it uses the symbol expansion of the Dirichlet-to-Neumann operator in local charts and the behaviour of the resolvent near the spectral minimum. ... "https://puma.ub.uni-stuttgart.de/bibtex/21237a0ffaf182fdd91641c941d3d4db1/mhartmannmhartmann2018-07-20T10:54:15+02:00parabolic problems, adaptive elements, convergence finite analysis vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Kreuzer" itemprop="url" href="/person/14f9e70559b93e67305a10572434e4d6a/author/0"><span itemprop="name">C. Kreuzer</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Möller" itemprop="url" href="/person/14f9e70559b93e67305a10572434e4d6a/author/1"><span itemprop="name">C. Möller</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Alfred Schmidt" itemprop="url" href="/person/14f9e70559b93e67305a10572434e4d6a/author/2"><span itemprop="name">A. Schmidt</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kunibert G. Siebert" itemprop="url" href="/person/14f9e70559b93e67305a10572434e4d6a/author/3"><span itemprop="name">K. Siebert</span></a></span></span>. </span><span class="additional-entrytype-information"><em>IMA J. Numer. Anal. doi:10.1093/imanum/drr026, </em>(<em><span>2012<meta content="2012" itemprop="datePublished"/></span></em>)<em>Online First.</em></span>Fri Jul 20 10:54:15 CEST 2018IMA J. Numer. Anal. doi:10.1093/imanum/drr026IMA Journal of Numerical AnalysisOnline FirstDesign and Convergence Analysis for an Adaptive Discretization of the Heat Equation2012parabolic problems, adaptive elements, convergence finite analysis vorlaeufig We derive an algorithm for the adaptive approximation of solutions to parabolic equations. It is based on adaptive finite elements in space and the implicit Euler discretization in time with adaptive time-step sizes. We prove that, given a positive tolerance for the error, the adaptive algorithm reaches the final time with a space�time error between continuous and discrete solution that is below the given tolerance. Numerical experiments reveal a more than competitive performance of our algorithm ASTFEM (adaptive space�time finite element method).