Results 111 to 120 of about 91,586,058 (209)

A Level Set Method on Particle Flow Maps

International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.
ABSTRACT Accurate interface tracking is central to numerical simulations involving moving boundaries, including multiphase flows, free‐surface dynamics, phase‐change problems, and other interface‐driven processes in computational mechanics. Although, level set methods provide a flexible implicit representation of evolving interfaces, their grid‐based ...
Jinjin He, Taiyuan Zhang, Zhiqi Li, Junwei Zhou, Duowen Chen, Bo Zhu   +5 more
wiley   +1 more source

Towards unified AI-driven fracture mechanics: the extended deep energy method (XDEM). [PDF]

Nat Commun
Wang Y, Lin Y, Goswami S, Zhao L, Zhang H, Bai J, Anitescu C, Sadegh Eshaghi M, Zhuang X, Rabczuk T, Liu Y.   +10 more
europepmc   +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

The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]

Sci Rep
Abda M, Berthet L, Hamedi M, Hibatullah D, Piollet E, Blake C, Blais B, Gosselin FP.   +7 more
europepmc   +1 more source

A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer

International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira, Diego C. Knupp, Lucas L. S. Costa, Luiz A. S. Abreu, Mousa J. Huntul, Antônio J. Silva Neto   +5 more
wiley   +1 more source

Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. [PDF]

PLoS Comput Biol
Srivastava S, Kinnunen PC, Wang Z, Ho KKY, Humphries BA, Chen S, Linderman JJ, Luker GD, Luker KE, Garikipati K.   +9 more
europepmc   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, Volume 600, Issue 20, Page 3009-3028, October 2026.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]

Arch Ration Mech Anal
Bögelein V, Duzaar F, Treu G.
europepmc   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, Volume 36, Issue 81, 8 October 2026.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

An effective and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids. [PDF]

J Comput Phys
Terrell EM, Davey M, Wells DR, Griffith BE.   +3 more
europepmc   +1 more source