Results 31 to 40 of about 90 (82)
Hilbert Transform Pairs of Wavelets
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The orthogonal projection of a real orthonormal wavelet basis onto the Hardy space—consisting of functions whose Fourier transform is supported only on the positive real axis—yields a Parseval frame of wavelets. Motivated by practical considerations, Kingsbury proposed the use of two real scaling functions from multiresolution analyses (MRAs ...
Moritz Proell
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Performance of a Mixed Least‐Squares Finite Element Formulation With Application in Poroelasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A mixed least‐squares finite element method (LSFEM), previously proposed for the theory of porous media (TPM), is further investigated in this work. Finite deformation of a fully saturated, incompressible solid–fluid binary system is studied using the LSFEM.
Manu Hegde +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Due to the widespread usage of specialized piezoelectric actuators in various applications, accurate simulations have become key components of modern design processes. Although simulation tools for piezoelectric devices are widely available, nonlinear effects, which occur when exciting near resonance at elevated amplitudes, are often neglected
Jonas Hölscher +2 more
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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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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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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We extend the kernel‐based symplectic predictor introduced by Herkert et al. (2026) to a parameter‐augmented setting in which the learned flow‐map surrogate depends not only on the state, but also on additional variables such as physical parameters and macro time‐step sizes. The method uses a product kernel ansatz on a parameter and macro step
Robin Herkert +2 more
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An improved method using adaptive smoothing for GNSS tomographic imaging of ionosphere. [PDF]
PLoS One, 2021 Jia R, Yu X, Xing J, Ning Y, Sun H.
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Plant, Cell &Environment, Volume 49, Issue 12, Page 9524-9539, December 2026.ABSTRACT Sorghum anthracnose caused by Colletotrichum sublineola (C. sublineola) is a destructive disease leading to severe crop damages. Pterostilbene is a phytoalexin that contributes to defence responses in sorghum, but the transcriptional regulation of its biosynthesis remained poorly understood.
Yajing Li +5 more
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Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
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Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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