Numerical convergence of the scalar auxiliary variable method applied to nonlinear stiff string models. [PDF]
Nonlinear DynRusso R, Ducceschi M, Bilbao S.
europepmc +1 more source
A Spike‐Based Graph Surrogate for Modeling Finite Element Structures
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The use of Artificial Intelligence (AI) in structural mechanics has grown substantially in the recent years, with diverse applications ranging from constitutive laws and Gauss‐point‐level enhancements to the complete replacement of classical Finite Element Methods (FEM) with surrogate models.
Vaishnav Bhaskaran +2 more
wiley +1 more source
Explicit electrothermal LLP VO<sub>2</sub> model reproducing Preisach like hysteresis for memristive and neuromorphic devices. [PDF]
Sci RepSena BASF, de Almeida LAL.
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Reconfigurable Computing in Neural Network‐Enhanced Finite Element Analysis in Structural Dynamics
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In the present study, artificial neural networks (ANNs) trigger a better physically plausible initial guess in the Newton–Raphson scheme of an implicit material integration scheme of rate‐dependent viscoplastic dynamic response of plate structures in an in‐house finite element (FE) solver.
Vasileios Polydoras +2 more
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Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]
J Sci ComputBenková K, Pearson JW, Ptashnyk M.
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The paper deals with the simulation of porous journal bearings by solving the Reynolds and Darcy equations in conjunction with the continuity equation. To find the solution, the solution domain is discretized using the finite volume method.
Laurenz Stellmach +2 more
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Absolute Negative Mobility of Inertial Active Ornstein-Uhlenbeck Particles in Media with Power-Law Correlated Noise. [PDF]
Entropy (Basel)Liu S, Suleiman K.
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Proceedings 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
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Model-order-reduced spectral-element method for high-accuracy and fast 3-D transient electromagnetic forward modeling with SAI-Krylov. [PDF]
Sci RepFan Y, Lu K, Huang Y, Yue J, Yang Q.
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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
wiley +1 more source