Results 111 to 120 of about 11,070 (191)

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

Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]

Arch Ration Mech Anal
Chen GG, Irving C, Torres M.
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, Carolin Birk, Sundararajan Natarajan, Hauke Gravenkamp   +3 more
wiley   +1 more source

Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation. [PDF]

Sci Rep
Hussain A, Zeeshan M, Junaid U Rehman M, Jhangeer A.   +3 more
europepmc   +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, Nikolas Uesseler, Philipp Wacker, Benedikt Wirth   +3 more
wiley   +1 more source

Analytical solutions of the time-fractional symmetric regularized long wave equation using the [Formula: see text] model expansion method. [PDF]

Sci Rep
Aldwoah K, Eljaneid N, Younis B, Alsharafi M, Osman O, Muflh B.   +5 more
europepmc   +1 more source

On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng, Robert Lasarzik, Marita Thomas   +2 more
wiley   +1 more source

Beyond Bayesian Inference: The Correlation Integral Likelihood Framework and Gradient Flow Methods for Deterministic Sampling. [PDF]

Bull Math Biol
Gwiazda P, Kazarnikov A, Marciniak-Czochra A, Szymańska Z.   +3 more
europepmc   +1 more source

Advances in Erectile Dysfunction Management: What Does Work

Trends in Urology &Men's Health, Volume 17, Issue 3, June 2026.
ABSTRACT Erectile dysfunction (ED) is a prevalent and multifactorial disorder that substantially affects quality of life. Pathophysiology includes vascular, neurogenic, drug‐induced, and psychogenic causes, and frequently coexists with cardiometabolic disease.
Jolie Shen, Daye Park, Jasper Bash, Juan Andino   +3 more
wiley   +1 more source

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
europepmc   +1 more source