Results 201 to 210 of about 13,144,199 (261)

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

Simultaneous Optimization of Design Layout and Material Properties in Reinforced Concrete Structures

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The sustainable transformation of the building sector requires the design of mechanically efficient civil engineering structures, the consideration of material properties in the design layout plays an important role in this context. Steel‐reinforced concrete is an anisotropic bi‐material composite, which represents one of the most popular ...
Daniela Masarczyk   +2 more
wiley   +1 more source

Global Graph Surrogates and Neural Graph Elements for Computational Mechanics

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
wiley   +1 more source

LPV Updates for Sequentially Linearized Moving Horizon Estimation of Nonlinear Systems

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Moving horizon estimation (MHE) provides high‐precision state estimation for nonlinear systems, but it is often limited by the substantial computational demands of solving a nonlinear optimization problem at every sampling step. To address this issue, we develop an efficient MHE scheme based on linear parameter‐varying (LPV) formulation, where
Jiaxin Ji   +3 more
wiley   +1 more source

On Switching Times Optimization and Second‐Order Sufficient Conditions for Optimal Bang‐Bang Boundary Control of the Heat Equation

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley   +1 more source

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