Results 101 to 110 of about 2,172 (181)
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
wiley +1 more source
An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
Gram Decay and Intrinsic Dimensions of Krylov Subspaces
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley +1 more source
Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
A Compact Algorithm for Applying Periodic Boundary Conditions in 3D RVE Modeling with Abaqus
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Periodic boundary conditions (PBCs) are essential in multiscale modeling for computing the effective properties of heterogeneous materials via representative volume elements (RVEs). While several automated solutions have been developed for implementing PBCs in finite element software, many rely on structured node classification and predefined ...
Reza Sadeghpour, Martin Kraska
wiley +1 more source
Two Scale FE‐FFT‐Based Modeling of Cancellous Bone
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Osteoporosis is characterized by a loss of volume percentage of cortical bone, which reduces the loading capacity of this organ and increases its likelihood for fractures. The disease has the highest prevalence of any bone disease worldwide, with a particularly high incidence among the elderly.
Mischa Blaszczyk +3 more
wiley +1 more source
On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Respirology, Volume 31, Issue 6, Page 561-577, June 2026.ABSTRACT Chronic obstructive pulmonary disease (COPD) remains the third leading cause of death worldwide, and conventional bronchodilator‐based therapies have limited efficacy in preventing exacerbations and disease progression. The 2024–2026 period represents a historic inflection point: three mechanistically distinct agents received Food and Drug ...
Naoya Fujino, Hisatoshi Sugiura
wiley +1 more source
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Simulations of numerical weather prediction models indicate that the atmosphere possesses an intrinsic limit of predictability. Initial perturbations of tiny amplitude grow quickly in areas of convection and latent heat release, then spread out and move upscale, eventually affecting even the largest planetary scales after about 2 weeks.
T. Selz, G. C. Craig
wiley +1 more source
Beyond the next step: A multi‐criteria generative validation framework for step selection functions
Methods in Ecology and Evolution, Volume 17, Issue 6, Page 1754-1767, June 2026.Abstract Step‐selection functions (SSFs), typically fitted using step‐selection analysis (SSA) or integrated step‐selection analysis (iSSA) are widely used to infer habitat selection and movement kernels from high‐frequency telemetry data, but most standard validation tools focus on one‐step‐ahead prediction and do not guarantee that fitted models ...
Aurélien Nicosia
wiley +1 more source