Results 111 to 120 of about 2,048 (231)

Reduced-Order Model for Performance Simulation and Conceptual Design of Rocket-Type Pulse Detonation Engines

Aerospace
A model-based method has been developed for the performance simulation and conceptual design of rocket-type pulse detonation engines (PDEs). A reduced-order model (ROM) has been generated based on the high order singular value decomposition of a data ...
Luis Sánchez de León, Francisco Sastre, Elena Martin, Angel Velazquez   +3 more
doaj   +1 more source

On the Choice of Optimization Norm for Anderson Acceleration of the Picard Iteration for Navier–Stokes Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley   +1 more source

A nonsmooth primal-dual method with interwoven PDE constraint solver

We introduce an efficient first-order primal-dual method for the solution of nonsmooth PDE-constrained optimization problems. We achieve this efficiency through not solving the PDE or its linearisation on each iteration of the optimization method ...
Valkonen, T, Jensen, Bjørn, Valkonen, Tuomo, Jensen, B   +3 more
core   +1 more source

Reduced Models for Optimal Control, Shape Optimization and Inverse Problems in Haemodynamics [PDF]

, 2012
The objective of this thesis is to develop reduced models for the numerical solution of optimal control, shape optimization and inverse problems. In all these cases suitable functionals of state variables have to be minimized.
Manzoni, Andrea
core   +1 more source

Latent Twins

Machine Learning: Science and Technology
Over the past decade, scientific machine learning has transformed the development of mathematical and computational frameworks for analyzing, modeling, and predicting complex systems.
Matthias Chung, Deepanshu Verma, Max Collins, Amit N Subrahmanya, Varuni Katti Sastry, Vishwas Rao   +5 more
doaj   +1 more source

LocRes–PINN: A Physics–Informed Neural Network with Local Awareness and Residual Learning

Computation
Physics–Informed Neural Networks (PINNs) have demonstrated efficacy in solving both forward and inverse problems for nonlinear partial differential equations (PDEs).
Tangying Lv, Wenming Yin, Hengkai Yao, Qingliang Liu, Yitong Sun, Kuan Zhao, Shanliang Zhu   +6 more
doaj   +1 more source

A Pseudo‐Two‐Dimensional Reaction–Diffusion Model for Rational Design of Antibacterial–Antioxidant Ag–ZnO/Fucoidan Nanocomposites

Engineering Reports, Volume 8, Issue 6, June 2026.
A pseudo‐two‐dimensional (P2D) reaction–diffusion framework is proposed to model reactive oxygen species (ROS) generation, transport, and scavenging in Ag–ZnO/Fucoidan nanocomposites. Spatially segregated ROS source (Ag–ZnO) and sink (fucoidan) domains are embedded into a one‐dimensional computational model, capturing nonlinear feedback between site ...
Mohamed Abu Shuheil, Maryam Saleem Mohammed Ali, Roopashree R., Subhashree Ray, Baraa Mohammed Yaseen, Kavitha V., Renu Sharma, Aashna Sinha, Naser Aslanian   +8 more
wiley   +1 more source

A rational deferred correction approach to parabolic optimal control problems [PDF]

, 2016
The accurate and efficient solution of time-dependent PDE-constrained optimization problems is a challenging task, in large part due to the very high dimension of the matrix systems that need to be solved.
Stefan Güttel, John W Pearson, Pearson, John W., Güttel, Stefan, Güttel, Stefan; id_orcid, Pearson, John W   +5 more
core   +1 more source

One-Dimensional Elastic and Viscoelastic Full-Waveform Inversion in Heterogeneous Media Using Physics-Informed Neural Networks

IEEE Access
In this study, we discuss a mathematical framework to handle the inverse problem for the applications of partial differential equations (PDEs). In particular, we focus on wave equations and attempt to identify the wave parameters such as wave velocity ...
Alireza Pakravan
doaj   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos, Antonios Charalambopoulos   +1 more
wiley   +1 more source