Results 31 to 40 of about 85,642,486 (133)

Sparsity‐Driven Source Localization in Tomographic Sensing Applications

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Hyperspectral standoff detection systems such as Focal Plane Array (FPA) Fourier Transform Infrared (FTIR) spectrometers provide high spatial resolution in detecting airborne chemical contaminants that are invisible to the human eye but potentially hazardous. When two such systems are operated simultaneously with a suitable opening angle, they
Marco Mattuschka, Noah An der Lan, Stefanie Schröder, Arne Ficks, Max von Danwitz, Alexander Popp   +5 more
wiley   +1 more source

Comparing parameter choice methods for regularization of ill-posed problems [PDF]

, 2011
In the literature on regularization, many different parameter choice methods have been proposed in both deterministic and stochastic settings. However, based on the available information, it is not always easy to know how well a particular method will ...
Bauer, F., Lukas, M.A.
core  

Symplecticity‐Preserving Prediction of Parameter‐Dependent Hamiltonian Dynamics by Generalized Kernel Interpolation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We extend the kernel‐based symplectic predictor introduced by Herkert et al. (2026) to a parameter‐augmented setting in which the learned flow‐map surrogate depends not only on the state, but also on additional variables such as physical parameters and macro time‐step sizes. The method uses a product kernel ansatz on a parameter and macro step
Robin Herkert, Tobias Ehring, Bernard Haasdonk   +2 more
wiley   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source

An entropic Landweber method for linear ill-posed problems [PDF]

, 2019
The aim of this paper is to investigate the use of a Landweber-type method involving the Shannon entropy for the regularization of linear ill-posed problems.
Benning, M, Burger, Martin, Benning, Martin, Resmerita, E, Resmerita, Elena, Burger, M   +5 more
core   +1 more source

A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.
ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
wiley   +1 more source

Asymptotic behaviour of the minimum bound method for choosing the regularization parameter [PDF]

, 1998
We consider a parameter choice method (called the minimum bound method) for regularization of linear ill-posed problems that was developed by Raus and Gfrerer for the case with continuous, deterministic data.
Lukas, M.A.
core  

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

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

Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales

, 2017
We study Tikhonov regularization for ill-posed non-linear operator equations in Hilbert scales. Our focus is on the interplay between the smoothness-promoting properties of the penalty and the smoothness inherent in the solution.
Mathé, Peter, Bernd Hofmann, Hofmann, Bernd, Peter Mathé   +3 more
core   +1 more source