Results 211 to 220 of about 528,309 (248)

On the Computation of Crack Surface Normals in the Phase‐Field Model of Hydraulic Fracture

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Hydraulic fracturing techniques have been used to extract oil from the Earth's crust and to enhance the efficiency of geothermal systems among other applications. Numerical simulation of hydraulic fracturing is essential for predicting the environmental impact of this method, as well as its efficiency in such applications. In the present work,
Anuj Gupte, Elten Polukhov, Marc‐André Keip   +2 more
wiley   +1 more source

Global Graph Surrogates and Neural Graph Elements for Computational Mechanics

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
wiley   +1 more source

LPV Updates for Sequentially Linearized Moving Horizon Estimation of Nonlinear Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Moving horizon estimation (MHE) provides high‐precision state estimation for nonlinear systems, but it is often limited by the substantial computational demands of solving a nonlinear optimization problem at every sampling step. To address this issue, we develop an efficient MHE scheme based on linear parameter‐varying (LPV) formulation, where
Jiaxin Ji, Jan Heiland, Dimitrios S. Karachalios, Hossam S. Abbas   +3 more
wiley   +1 more source

Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems

International Journal of Robust and Nonlinear Control, Volume 36, Issue 16, Page 7450-7463, 10 November 2026.
ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes, João Manoel Gomes da Silva Jr., Sophie Tarbouriech   +2 more
wiley   +1 more source

A perspective on parsimonious hybrid models for online use: Augmenting fundamental models with ARIMA disturbances

The Canadian Journal of Chemical Engineering, Volume 104, Issue 11, Page 5854-5874, November 2026.
Abstract Hybrid models (HMs) combine fundamental model (FM) equations with empirical components. These models can lead to improved predictions because they reduce process/model mismatch and can account for phenomena that are not considered in the FM equations.
Mouna Y. Harb, Kimberley B. McAuley
wiley   +1 more source

Exact Computation of the Color Function for Triangular Element Interfaces

International Journal for Numerical Methods in Fluids, Volume 98, Issue 11, Page 1181-1194, November 2026.
We propose a robust algorithm, the Front2VOF algorithm, to compute the color function for triangular element interfaces in Front‐Tracking methods on a Cartesian mesh. ABSTRACT The calculation of the volume enclosed by curved surfaces discretized into triangular elements and a cube is of great importance in different domains, such as computer graphics ...
Jieyun Pan, Désir‐André Koffi Bi, Ahmed Basil Kottilingal, Serena Costanzo, Jiacai Lu, Yue Ling, Ruben Scardovelli, Grétar Tryggvason, Stéphane Zaleski   +8 more
wiley   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen, Filip Szczepankiewicz   +1 more
wiley   +1 more source

Fracture Modeling of Nearly Incompressible Hyperelastic Materials: A Phase‐Field Approach via Simo–Taylor–Pister Three‐Field Variation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT Incompressibility is commonly observed in the majority of hyperelastic materials, which are fundamental to a wide range of technical applications owing to their distinctive properties, particularly their flexibility, stretchability, and resilience.
Le Zhang, Bin Li, Dong Zhao, Bo Yin, Michael Kaliske   +4 more
wiley   +1 more source

High performance adaptive step size fractional numerical scheme for solving fractional differential equations. [PDF]

Sci Rep
Shams M, Alalyani A.
europepmc   +1 more source

Multiscale Coupling From Mastication to Retronasal Aroma Perception: The PG‐DTCFN Model and Multiphysics Simulation

Advanced Science, Volume 13, Issue 55, 5 October 2026.
Using grilled lamb skewers as a model system, this work builds a multiscale coupling framework from oral processing to retronasal aroma perception, reveals dual‐kinetic release patterns and Electroencephalogram‐characterized central encoding features, and proposes an interpretable physics‐guided deep learning model validated by multiphysics simulation,
Che Shen, Xiongfeng He, Zihao Li, Zidong Chen, Jiajin Sun, Xinyu Jiang, Yunhui Zhang, Lizhang Wu, Ran Wang, Jingnan Lu, Bo Wang, Kezhou Cai, Baocai Xu   +12 more
wiley   +1 more source