Results 81 to 90 of about 86,380,618 (176)
Proceedings 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
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
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Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We develop a physics‐informed Fourier Neural Operator (PINO) for the surrogate modeling of full‐field responses in polycrystalline microstructures. Reference stress and strain fields are generated using an FFT‐based full‐field solver under prescribed macroscopic loading. The model maps the crystallographic orientation field q(x)$\bm{q}(\bm{x})$
Ahmad Awad, Lisa Scheunemann
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle +2 more
wiley +1 more source
Global Graph Surrogates and Neural Graph Elements for Computational Mechanics
Proceedings 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
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Sparsity‐Driven Source Localization in Tomographic Sensing Applications
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Hyperspectral standoff detection systems such as Focal Plane Array (FPA) Fourier Transform Infrared (FTIR) spectrometers provide high spatial resolution in detecting airborne chemical contaminants that are invisible to the human eye but potentially hazardous. When two such systems are operated simultaneously with a suitable opening angle, they
Marco Mattuschka +5 more
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Gradient Flows on Sparse Representations for PDE‐Regularized Inverse Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this short paper, we summarize the theory of Atomic Gradient Flows (AGF) introduced in (Amend, Carioni and Zemas, arxiv:2603.25675, 2026), which provides a framework to construct gradient flows on sparse representations for convex regularized optimization problems.
Christian Amend, Marcello Carioni
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Maximum Principle for Boundary Control Problems Arising in Optimal Investment with Vintage Capital [PDF]
The paper concerns the study of the Pontryagin Maximum Principle for an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations.
Silvia Faggian
core
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Regenerative medicine is a promising approach for the treatment of meniscus injuries. In silico experiments provide a valuable framework for optimizing such therapies by improving the understanding of both environmental effects on cell behavior and the interaction between cells and nonwoven scaffolds, which act as porous media supporting cell ...
Ahmad Hussein +3 more
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