Results 101 to 110 of about 102,961 (219)

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

POD-Galerkin reduced-order modeling of the El Niño-Southern Oscillation (ENSO)

Applied Ocean Research
Reduced-order modeling (ROM) aims to mitigate computational complexity by reducing the size of a high-dimensional state space. In this study, we demonstrate the efficiency, accuracy, and stability of proper orthogonal decomposition (POD)-Galerkin ROM ...
Yusuf Aydogdu, Navaratnam Sri Namachchivaya   +1 more
doaj   +1 more source

Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems

Abstract and Applied Analysis, 2014
The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
doaj   +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

Supercomputer implementation of finite element algorithms for high speed compressible flows [PDF]

Prediction of compressible flow phenomena using the finite element method is of recent origin and considerable interest. Two shock capturing finite element formulations for high speed compressible flows are described. A Taylor-Galerkin formulation uses a
Ramakrishnan, R., Thornton, E. A.
core   +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

On the convergence of Galerkin method for solving hypersingular integral equations in special classes of functions

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The numerical method for solving hypersingular integral equations on a segment that arise in many problems of mathematical physics is considered. Materials and methods.
Yu.G. Smirnov
doaj   +1 more source

非定常热对流传导问题的Lagrange-Galerkin方法(英文)

四川大学学报. 自然科学版, 2009
Lagrange-Galerkin方法是求解传导占优的扩散问题的数值方法.它将Galerkin有限元法和沿着质点轨道上关于物质导数的特殊离散结合在一起.本文作者研究了非定常热对流传导问题的Lagrange-Galerkin方法的存在性和最优误差估计.
陈豫眉, 骆艳, 冯民富
doaj  

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 5897-5912, 15 May 2026.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

A comparison between characteristic lines and streamline upwind Petrov-Galerkin method for advection dominated problems

Revista Facultad de Ingeniería Universidad de Antioquia, 2013
This article develops numerically the advection-diffusion equation problem, using Galerkin on characteristic lines and Streamline Upwind Petrov-Galerkin (SUPG) methods. The dominated advective conditions in the solved problem showed that for cases where
Carlos Humberto Galeano, Diego Alexander Garzón, Juan Miguel Mantilla   +2 more
doaj