Results 51 to 60 of about 397 (150)

Hyper‐Reduced Model Based on the Proper Orthogonal Decomposition and the LU Factorization Applied to the Neutron Diffusion Eigenvalue Problem

International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.
ABSTRACT An efficient method for solving large eigenvalue problems efficiently can be developed using hyper‐reduced order models, such as those arising from the LU Proper Orthogonal Decomposition (LUPOD). The LUPOD employs dominant orthogonal modes along with a flexible number of collocation points to establish a reduced scalar product, thereby ...
A. Vidal‐Ferràndiz, A. Carreño, E. Javaloyas, D. Ginestar, G. Verdú   +4 more
wiley   +1 more source

PyPOD-GP: Using PyTorch for accelerated chip-level thermal simulation of the GPU

SoftwareX
The rising demand for high-performance computing (HPC) has made full-chip dynamic thermal simulation in many-core GPUs critical for optimizing performance and extending device lifespans. Proper orthogonal decomposition (POD) with Galerkin projection (GP)
Neil He, Ming-Cheng Cheng, Yu Liu
doaj   +1 more source

Exploring forms of the moist shallow‐water equations using a new compatible finite‐element discretisation

Quarterly Journal of the Royal Meteorological Society, Volume 152, Issue 774, January 2026 Part A.
We present a compatible finite‐element discretisation of a general formulation of moist shallow‐water equations, with the aim of providing a simple model to advance understanding of physics–dynamics coupling. We detail set‐ups and show three moist shallow‐water test cases in four different model formulations. The results demonstrate differences between
Nell Hartney, Thomas M. Bendall, Jemma Shipton   +2 more
wiley   +1 more source

Three-dimensional electro-thermal coupling analysis of ultra-high-voltage autotransformer based on MPI-PETSc parallel computing framework

Sustainable Energy Research
Ultra-high-voltage (UHV) autotransformers are widely employed in long-distance power transmission systems. Their operation involves complex energy conversion and coupling mechanisms, including high-intensity magnetic induction energy and strong induced ...
E. Tianlong, Kai Qin, Zhao Liu, Yanwen Xu, Linke Huang   +4 more
doaj   +1 more source

Implementation and Evaluation of Parallel Computing Approaches for Large‐Domain, Process‐Based Hydrologic Simulations

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 1, January 2026.
Abstract Process‐based hydrologic simulations in large domains generally require intensive computing resources. In this study, we implement various parallelization approaches within a process‐based hydrologic solver, SUMMA, including the Message Passing Interface (MPI), Open Multi‐Processing (OMP), and the Actor Model, to enable high‐performance ...
Junwei Guo, Martyn P. Clark, Wouter J. M. Knoben, Kasra Keshavarz, Kyle Klenk, Ashley Van Beusekom, Victoria Guenter, Raymond J. Spiteri   +7 more
wiley   +1 more source

Structure–Property Relationships of Solid Oxide Fuel Cell Electrodes Using Real and Reconstructed Microstructures

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT Solid oxide fuel cells (SOFCs) are a promising technology for producing clean energy in the future. To enhance the efficiency and the lifetime of SOFCs and SOFC stacks, novel materials and innovative material compositions for the constituent layers—namely the cathode, anode, and electrolyte—must be developed.
Eric Langner, Paul Seibert, Artem Semenov, Markus Kästner, Thomas Wallmersperger   +4 more
wiley   +1 more source

Effects of Stress and Friction Heterogeneity on Spatiotemporal Complexity of Seismic and Aseismic Slip on Strike‐Slip Faults

Journal of Geophysical Research: Solid Earth, Volume 130, Issue 12, December 2025.
Abstract Numerical and laboratory models of earthquake cycles on faults governed by rate‐and‐state friction often show cycle‐invariant behavior, while natural faults exhibit considerable variability in slip history. Possible explanations include heterogeneities in fault stress and frictional properties. We investigate how various types of heterogeneity
Jeena Yun, Alice‐Agnes Gabriel, Dave A. May, Yuri Fialko   +3 more
wiley   +1 more source

Stabilized Mixed Formulations for Incompressible Finite Strain Electromechanics Including Stress Accurate Analysis

International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT In this study, we introduce a novel methodology for finite strain electromechanics that effectively addresses the incompressible limit. The primary innovation of this work is the first‐time application of robust and accurate stabilized mixed formulations, previously developed by the authors for hyperelasticity, within the realm of ...
Inocencio Castañar, Jesús Martínez‐Frutos, Rogelio Ortigosa, Ramon Codina   +3 more
wiley   +1 more source

Inf‐Sup Stable Non‐Conforming Finite Elements on Tetrahedra With Second‐ and Third‐Order Accuracy

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We introduce a family of scalar non‐conforming finite elements with second‐ and third‐order accuracy with respect to the H1$$ {H}^1 $$‐norm on tetrahedra. Their vector‐valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf‐sup stable finite element pairs with convergence order two ...
Loïc Balazi, Grégoire Allaire, Pierre Jolivet, Pascal Omnes   +3 more
wiley   +1 more source

The Water Table Model (WTM) (v2.0.1): coupled groundwater and dynamic lake modelling [PDF]

Geoscientific Model Development
Ice-free land comprises 26 % of the Earth's surface and holds liquid water that delineates ecosystems, affects global geochemical cycling, and modulates sea levels.
K. L. Callaghan, K. L. Callaghan, K. L. Callaghan, A. D. Wickert, A. D. Wickert, A. D. Wickert, R. Barnes, J. Austermann   +7 more
doaj   +1 more source