Results 61 to 70 of about 732 (184)

Three‐Dimensional Simulation of Crack Initiation in ice Shelves at Pinning Points

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Ice shelves are large ice masses floating on the ocean that are still connected to the inland ice of a glacier. Due to high elevations in the bathymetry, the ice shelf can be partially grounded. These areas are called ice rises that act as pinning points.
Rabea Sondershaus, Angelika Humbert, Ralf Müller   +2 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

Approximate Stability Analysis of Omega‐Stringer Stiffened Composite Panels

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Thin‐walled composite structures are widely used in weight‐critical applications such as aircraft and spacecraft. However, ensuring the stability of such structures under various load cases remains a key challenge in their design and optimization.
Cherine El Yaakoubi‐Mesbah, Christian Mittelstedt   +1 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 multilevel discontinuous Galerkin method [PDF]

Numerische Mathematik, 2003
With extended references to the major papers on the subject, this work analyzes mathematically multigrid techniques for two discontinuous Galerkin methods: one for elliptic problems and a second one for singular perturbed advection-diffusion problems. In the former case, the analysis predicts convergence rates of the multigrid method independent of the
Gopalakrishnan, Jay, Kanschat, Guido
openaire   +3 more sources

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin, Simon Byrne, Charles Kawczynski, Sriharsha Kandala, Gabriele Bozzola, Akshay Sridhar, Zhaoyi Shen, Anna Jaruga, Julia Sloan, Jia He, Daniel Zhengyu Huang, Valeria Barra, Ray Chew, Anudhyan Boral, Yi‐fan Chen, Oswald Knoth, Paul Ullrich, Cheikh Mbengue, Tapio Schneider   +18 more
wiley   +1 more source

Localized Threats: How Ground Conductivity Shapes the Geoelectric Response

Space Weather, Volume 24, Issue 3, March 2026.
Abstract Geomagnetic storms can induce strong geoelectric fields in the ground. These fields drive geomagnetically induced currents in technological conductor systems, such as power grids. In this study, we analyze 4‐hr periods of two such major geomagnetic storms: the Halloween storm (29–31 October 2003) and the 7–8 September 2017 storm.
M. Kellinsalmi, E. Marshalko, L. Juusola, A. Viljanen   +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

Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions [PDF]

SIAM Journal on Numerical Analysis, 2005
The author proves convergence of a discontinuous Galerkin method for a convection-reaction equation under very weak assumptions on the coefficients. The proof is based on work of \textit{R. J. DiPerna} and \textit{P. L. Lions} [Invent. Math. 98, 511--547 (1989; Zbl 0696.34049)]. Applications include modeling the flow of incompressible immiscible fluids.
openaire   +2 more sources

Numerical Approximation of a PDE‐Constrained Optimization Problem that Appears in Data‐Driven Computational Mechanics

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia, Roberto F. Ausas   +3 more
wiley   +1 more source