Variational Modeling of Porosity Waves
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley +1 more source
The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]
J Math BiolDemongeot J, Hillen T, Ruan S, Webb G.
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The Microlayer Framework: Extension to Aggregates With Non‐Uniform Shapes
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate‐matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for ...
Marcel May +3 more
wiley +1 more source
Enhanced kernel search algorithm for optimizing local search capability and its application to carbon fiber draft process. [PDF]
PLoS OneDong R +6 more
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PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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Inhomogeneous broadening in the time domain: Gauss-Lorentz, Gauss-Drude and Gauss-Debye material models. [PDF]
NanophotonicsProkopeva LJ, Kildishev AV.
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Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
wiley +1 more source
Aggregating dependent signals with heavy-tailed combination tests. [PDF]
BiometrikaGui L, Jiang Y, Wang J.
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PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Crystal plasticity simulations offer insights into the anisotropic deformation of polycrystalline materials such as metals and alloys. However, rate‐independent crystal plasticity models encounter the Taylor ambiguity, where the active slip systems and plastic slip magnitudes are not uniquely defined, posing well‐known numerical challenges [1].
Felix Steinmetz, Lisa Scheunemann
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Modified Black-Winged Kite Optimization Algorithm with Three-Phase Attacking Strategy and Lévy-Cauchy Migration Behavior to Solve Mathematical Problems. [PDF]
Biomimetics (Basel)Ma Y, Meng W, Gu R, Zhang X.
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