Results 61 to 70 of about 27,288 (164)

Monitoring of water volume in a porous reservoir using seismic data: Validation of a numerical model with a field experiment

Near Surface Geophysics, Volume 24, Issue 2, Page 110-127, April 2026.
Abstract As global groundwater levels continue to decline rapidly, there is a growing need for advanced techniques to monitor and manage aquifers effectively. This study focuses on validating a numerical model using seismic data from a small‐scale experimental setup designed to estimate water volume in a porous reservoir.
Mahnaz Khalili, Bojan Brodic, Peter Göransson, Suvi Heinonen, Jan S. Hesthaven, Antti Pasanen, Marko Vauhkonen, Rahul Yadav, Timo Lähivaara   +8 more
wiley   +1 more source

High Order ADER Schemes for Continuum Mechanics

Frontiers in Physics, 2020
In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999 by Toro et al.
Saray Busto, Simone Chiocchetti, Michael Dumbser, Elena Gaburro, Ilya Peshkov   +4 more
doaj   +1 more source

On Multiscale Methods in Petrov-Galerkin formulation [PDF]

, 2014
In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel, Ginting, Victor, Henning, Patrick   +2 more
core  

Fault Friction, Plate Rheology, and Mantle Torques From a Global Dynamic Model of Neotectonics

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 4, April 2026.
Abstract Improvements in software, parallel computing, global data sets, and laboratory flow‐laws help to develop the global Earth5 thin‐shell finite‐element model of Bird et al. (2008, https://doi.org/10.1029/2007jb005460) into a benchmark study. All experiments confirm that modeled faults (other than megathrusts) have low effective friction of 0.085 ±
Peter Bird, Jon Bryan May, Michele M. C. Carafa   +2 more
wiley   +1 more source

Local Discontinuous Galerkin Methods Coupled with Implicit Integration Factor Methods for Solving Reaction-Cross-Diffusion Systems

Discrete Dynamics in Nature and Society, 2016
We present a new numerical method for solving nonlinear reaction-diffusion systems with cross-diffusion which are often taken as mathematical models for many applications in the biological, physical, and chemical sciences.
Na An, Xijun Yu, Chaobao Huang, Maochang Duan   +3 more
doaj   +1 more source

A posteriori error control for discontinuous Galerkin methods for parabolic problems

, 2010
We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems.
Emmanuil H. Georgoulis, Ern A., Juha M. Virtanen, Omar Lakkis, Yang J.-M.   +4 more
core   +1 more source

Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu, Ismail Caylak, Richard Ostwald   +2 more
wiley   +1 more source

Homogenization With Guaranteed Bounds via Primal‐Dual Physically Informed Neural Networks

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT Physics‐informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to materials with discontinuous coefficients, such as media with piecewise constant properties. This paper introduces a dual formulation for the PINN framework to improve
Liya Gaynutdinova, Ondřej Rokoš, Martin Doškář, Ivana Pultarová   +3 more
wiley   +1 more source

The Time Discontinuous H1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations

Discrete Dynamics in Nature and Society, 2015
We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized.
Hong Yu, Tongjun Sun, Na Li
doaj   +1 more source

Application of Discontinuity Layout Optimization to Metal Shells and Assemblies

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Discontinuity Layout Optimization (DLO) provides a computationally efficient means of determining collapse loads and associated failure mechanisms across a wide spectrum of plasticity problems. The classical DLO method has focused separately on in‐plane and out‐of‐plane plasticity.
John Valentino, Linwei He, Matthew Gilbert   +2 more
wiley   +1 more source