Variational methods applied to pdes

Results 121 to 130 of about 91,586,058 (209)

Embedded Ferroelectric Nanoclusters Can Drive Polarization Reversal in a Non‐Ferroelectric Polar Film via the Proximity Effect

Advanced Functional Materials, Volume 36, Issue 81, 8 October 2026.
Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source

Neural Operator-enabled Topology-informed Evolutionary Strategy for PDE-Constrained Optimization. [PDF]

IEEE Trans Evol Comput
Huang X, Zhang G, Lu L, Pestourie R.
europepmc +1 more source

ARTICLE NO. IV970630 Efficient Multiresolution Counterparts to Variational Methods for Surface Reconstruction ∗

, 2008
Variational methods have been employed with considerable success in computer vision, particularly for surface reconstruction problems. Formulations of this type require the solution of computationally complex Euler–Lagrange partial differential equations
William C. Karl, Alan S. Willsky, Paul W. Fieguth +2 more
core

Pattern‐Aware Intelligence Enables Nondestructive, Rapid Quantification of High‐Aspect‐Ratio Silicon Etching

Advanced Science, Volume 13, Issue 57, 14 October 2026.
Pattern‐dependent etching is converted into a physical prior for intelligent reconstruction of high‐aspect‐ratio silicon structures. Combining YOLO‐Pose feature extraction with a topography network, the framework retrieves depth, sidewall angle, and scallop texture from minimal destructive observations, enabling accurate cross‐scale metrology and near ...
Shuyan He +4 more
wiley +1 more source

Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]

J Math Imaging Vis
Sherry FM, Schaefer K, Duits R.
europepmc +1 more source

Closing the Loop: High‐Precision 3D Photofabrication in Living Tissues

Advanced Science, Volume 13, Issue 58, 19 October 2026.
Writing 3D microstructures inside living tissue demands more than laser access; It demands information. Hierarchical sensing captures thermal and mechanical states across pulse‐train, voxel, and structure timescales, feeding a controller that steers the laser in real time.
Amirbahador Zeynali +2 more
wiley +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc +1 more source

Toward Knowledge‐Guided AI for Inverse Design in Manufacturing: A Perspective on Domain, Physics, and Human–AI Synergy

Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.
This perspective highlights how knowledge‐guided artificial intelligence can address key challenges in manufacturing inverse design, including high‐dimensional search spaces, limited data, and process constraints. It focused on three complementary pillars—expert‐guided problem definition, physics‐informed machine learning, and large language model ...
Hugon Lee +3 more
wiley +1 more source

A variational framework for residual-based adaptivity in neural PDE solvers and operator learning. [PDF]

NPJ Artif Intell
Toscano JD +4 more
europepmc +1 more source

UniNS: A Neuro‐Symbolic Framework for Structure‐Regularized Causal Modeling of Catalytic Nanorobot Swarms in Confined Tumor Microenvironments

Applied Research, Volume 5, Issue 5, October 2026.
UniNS is a hybrid neuro‐symbolic framework that simulates nanoscale swarms in tumor microenvironments by coupling mesoscopic hydrodynamics with structure‐regularized causal discovery. It reduces biochemical prediction errors by 27.3% and dynamically prevents spurious correlations, offering a scalable, thermodynamically consistent testbed for precision ...
Xinyuan Chen +3 more
wiley +1 more source