Results 41 to 50 of about 2,057 (240)
Reconstructing initial data using observers: error analysis of the semi-discrete and fully discrete approximations [PDF]
, 2010 A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani et al. (Automatica 46(10), 1616-1625, 2010 ).
Karim Ramdani +3 more
core +1 more source
Solving inverse-PDE problems with physics-aware neural networks [PDF]
Journal of Computational Physics, 2021 39 pages, 17 ...
Samira Pakravan +3 more
openaire +2 more sources
Numerical methods for boundary value problems on random domains [PDF]
, 2014 In this thesis, we consider the numerical solution of elliptic boundary value problems on random domains. The underlying domain is modelled via a random vector field which is given by its mean and its covariance.
Peters, Michael
core +1 more source
Hierarchical matrix approximations of hessians arising in inverse problems governed by PDEs [PDF]
, 2019 Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role in delivering efficient, dimension-independent convergence for Newton solution of deterministic inverse problems, as well as Markov chain
Keyes, David E. +10 more
core +1 more source
Modelling and Simulation in Engineering, 2019 Critical comments on the complexity of computational systems and the basic singularly perturbed (SP) concepts are given. A class of several complex SP nonlinear elliptic equations arising in various branches of science, technology, and engineering is ...
Anastasia-Dimitra Lipitakis
doaj +1 more source
Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems [PDF]
, 2011 Advanced numerical solvers and associated simulation tools, such as, for example, numerical algorithms based on novel spectral methods, efficient time-stepping and domain meshing techniques for solution of Partial Differential Equations (PDEs ...
Beni, Catherine Elizabeth
core +1 more source
Accelerated PDE's for efficient solution of regularized inversion problems
CoRR, 2018 We further develop a new framework, called PDE Acceleration, by applying it to calculus of variations problems defined for general functions on $\mathbb{R}^n$, obtaining efficient numerical algorithms to solve the resulting class of optimization problems based on simple discretizations of their corresponding accelerated PDE's.
Minas Benyamin +3 more
openaire +2 more sources
Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.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
Gradient Statistics-Based Multi-Objective Optimization in Physics-Informed Neural Networks
Sensors, 2023 Modeling and simulation of complex non-linear systems are essential in physics, engineering, and signal processing. Neural networks are widely regarded for such tasks due to their ability to learn complex representations from data.
Sai Karthikeya Vemuri, Joachim Denzler
doaj +1 more source
Advanced Functional Materials, EarlyView.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