Results 271 to 280 of about 217,226 (371)

The automation of PDE-constrained optimisation and its applications

, 2012
Simon W. Funke
openalex   +2 more sources

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

Phase-Change Silicone Elastomers for Tough, Soft Actuators. [PDF]

Macromolecules
Lee YJ, Dana A, George SM, Sivaperuman Kalairaj M, Tseng YC, Nitschke BM, Gibson JA, Grunlan MA, Ware TH.   +8 more
europepmc   +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, Christian Gierden, Klaus Hackl, Johanna Waimann   +3 more
wiley   +1 more source

Poroelasticity derived from the microstructure for intrinsically incompressible constituents. [PDF]

Z Angew Math Phys
Penta R, Lonati C, Miller L, Marzocchi 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

Innovative Aboodh-based gractional analytical methods for nonlinear Burgers' partial differential equations. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Haleemzai I, Zaidi HN, Hussain S, Mukhtar S, Mohammed WW.   +6 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

QEKI: A Quantum-Classical Framework for Efficient Bayesian Inversion of PDEs. [PDF]

Entropy (Basel)
Yong J, Tang S.
europepmc   +1 more source

Quantitative Strong Maximum Principles for Nonlocal and Degenerate Elliptic PDEs

Revista, Zen, MATH, 10
openalex   +1 more source