Investigation of Solution Accuracy in PFEM Simulations Using Benchmark Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The simulation of large topological changes, such as those occurring in Cone Penetration Testing (CPT) and vibratory pile driving, remains a major challenge in computational geomechanics. Excessive mesh distortions render classical approaches like the Finite Element Method (FEM) unsuitable, emphasizing the need for alternative methodologies ...
Antaeus Bettmann +4 more
wiley +1 more source
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case. [PDF]
Calc Var Partial Differ EquAlmi S, Davoli E, Kubin A, Tasso E.
europepmc +1 more source
Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This work is concerned with the modeling of a cold‐box sand, a composition of sand grains and a resin binder. To this end, experiments are performed, which show the following characteristics: localization phenomena in the form of a shear band, softening behavior in the force‐displacement curve, and asymmetric behavior for compression and ...
Alexander Börger +3 more
wiley +1 more source
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers. [PDF]
BIT Numer MathNestola MGC +3 more
europepmc +1 more source
A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
wiley +1 more source
Parametric analysis of electromagnetic wave interactions with layered biological tissues for varying frequency, polarization, and fat thickness. [PDF]
Sci RepGasmelseed A.
europepmc +1 more source
Implementation of a Thermomechanical Model for Journal Bearings Using p‐FEM
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Hydrodynamic journal bearings are essential machine parts that are used for applications with high rotational speeds. Their precise simulation requires the consideration of thermomechanical interactions between solids and fluid. During operation, the shear stresses in the fluid (lubricant film heights: 5–100 μm${\umu }\mathrm{m}$), lead to ...
Fabian Schmidtchen +4 more
wiley +1 more source
Understanding the impacts of extreme weather on biological control through traveling wave analysis of a prey-predator model. [PDF]
Sci RepAktar MS +4 more
europepmc +1 more source
On the Performance and Convergence of PINNs for Problems in Linear Elasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Physics‐informed neural networks (PINNs) have emerged as a promising approach for solving partial differential equations by embedding physical laws directly into the loss function. However, their performance characteristics for problems in computational mechanics remain insufficiently understood.
Dipraj Kadlag +3 more
wiley +1 more source
A damage-structured PDE model of stem cell hierarchies: The dual role of dedifferentiation in tissue homeostasis and aging. [PDF]
PLoS OneWang LS, Yu J, Liu Z.
europepmc +1 more source