Results 61 to 70 of about 498 (168)

A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

East Asian Journal on Applied Mathematics, 2020
Summary: A local discontinuous Galerkin finite element method for a class of timefractional Burgers equations is developed. In order to achieve a high order accuracy, the time-fractional Burgers equation is transformed into a first order system. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space.
Yuan, Wenping, Chen, Yanping, Huang, Yunqing   +2 more
openaire   +1 more source

Discontinuous Galerkin Trefftz Methods for Model Reduction of Wave Phenomena

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The space–time discontinuous Galerkin (dG)‐Trefftz is known to be a highly efficient numerical scheme for solving linear hyperbolic problems. We investigate to what extent such a dG‐Trefftz method can be used as a basis for a model reduction method for a traveling wave problem using the wave speed as a parameter.
Tobias Born, Karsten Urban
wiley   +1 more source

Advancing Heliophysics and Space Weather Modeling Through Open Science

Space Weather, Volume 24, Issue 6, June 2026.
Abstract We present a community‐wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potential to enhance the quality and pace of scientific discovery, its application to scientific modeling requires more careful consideration regarding open data and open ...
C. Corti, M. M. Kuznetsova, M. A. Reiss, J. Yue, J. Karpen, C. N. Arge, F. Bacchini, C. Bard, S. Bruinsma, R. M. Caplan, L. K. S. Daldorff, P. J. Deka, C. R. DeVore, S. Elvidge, N. Ganushkina, J. D. Huba, B. V. Jackson, V. Jordanova, J. A. Linker, H. Liu, J. G. Luhmann, S. Markidis, P. Mayank, V. Merkin, N. Moens, D. Odstrcil, Y. A. Omelchenko, M. Palmroth, S. Poedts, A. J. Ridley, Y. Shou, V. Tenishev, D. R. Themens, G. Toth, W. Wang, R.‐P. Wilhelm, M. A. Young, B. Cecconi, M.‐Y. Chou, D. De Zeeuw, G. L. Delzanno, C. Didigu, M. El Alaoui, S. Fung, J. Green, Z. Huang, L. K. Jian, L. J. Landwer, M. Lesko, P. MacNeice, A. Masson, M. L. Mays, P. M. Mehta, M. S. Miesch, E. Palmerio, M. Petrenko, E. Provornikova, L. Rastätter, L. Rusaitis, N. Sachdeva, E. Samara, D. Sur, A. Taktakishvili, J. Topper, T. Tsui, C. Verbeke, J. Wang, C. Wiegand, M. Wiltberger, Y. Zheng, M. M. Bisi, M. K. Georgoulis, T. Kodikara, T. Pulkkinen, A. Chartier, D. da Silva, A. Faturahman, K. Garcia‐Sage, D. Kondrashov, V. E. Ledvina, W. Liu, C. Pandey, E. Resnick, C. Shi, R. S. Weigel, K. Whitman, I. Zakharenkova, K. Zhang   +87 more
wiley   +1 more source

Machining Simulation of Recrystallized SiC: Failure Mechanisms, Numerical Influences, Tool Dynamics, and Friction Behavior

Journal of the American Ceramic Society, Volume 109, Issue 6, June 2026.
ABSTRACT This paper presents a comprehensive study on the machining simulation of recrystallized silicon carbide (R‐SiC), with a focus on material failure mechanisms, numerical influences, tool kinematics, and frictional behavior. A representative volume of interest was derived from CT data, and a meshing algorithm for CT‐based structures was ...
Simon Unseld, Stefan Kleiner, Achim Rösiger, Ralf Goller, Dietmar Koch   +4 more
wiley   +1 more source

Equivalence Between DFR Method and LDG Method for Solving Linear Third-Order KdV Equation

Journal of Harbin University of Science and Technology
The equivalence between direct flux reconstruction method and local discontinuous Galerkin method in solving linear third-order KdV equation is studied.
BI Hui, LI Xiaotong
doaj   +1 more source

A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D

International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Optimizing Light in Space and Time: Inverse Design of Spacetime‐Modulated Metasurfaces via Discontinuous Galerkin Time‐Domain Method

Advanced Photonics Research, Volume 7, Issue 5, May 2026.
This work presents a rigorous inverse design framework based on a discontinuous Galerkin time‐domain (DGTD) framework to handle arbitrary temporal variations in material properties. Our DGTD method is coupled with an advanced Bayesian optimization algorithm to design a realistic space‐time modulated silicon‐based metasurface that achieves nearly 80%$80\
Roman Gelly, Mahmoud Elsawy, Stéphane Lanteri   +2 more
wiley   +1 more source

Rapid City‐Scale Earthquake Assessment by Combining Numerical Simulation and Sparse Sensing

Earthquake Spectra, Volume 42, Issue 2, May 2026.
This study proposes a framework to assess the seismic risk by integrating city‐scale numerical simulations with sensor data prediction. The study begins with advanced numerical simulations using two primary methods: the integrated earthquake simulator (IES) and the stochastic Green's function method.
Dongyang Tang, Hidekazu Usami, Saneiki Fujita, Reika Nomura, Kenjiro Terada, Susumu Ohno, Jia Guo, Masaaki Sakuraba, Kazuya Nojima, Shuji Moriguchi   +9 more
wiley   +1 more source

Dynamic Simulation of Distribution Networks Using Multi-stage Discontinuous Galerkin Method

CSEE Journal of Power and Energy Systems
Dynamic simulation plays a fundamental role in security evaluation of distribution networks (DNs). However, the strong stiffness and non-linearity of distributed generation (DG) models in DNs bring about burdensome computation and noteworthy instability ...
Ruizhi Yu, Wei Gu, Weiqi Liu, Peixin Li, Wei Liu   +4 more
doaj   +1 more source

On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

CoRR, 2012
Submitted to International Journal of Numerical Analysis and ...
Cangiani A., Chapman J., Georgoulis E. H., Jensen M.   +3 more
openaire   +4 more sources