Results 91 to 100 of about 4,808 (199)
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
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Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG
Abstract and Applied Analysis, 2014 We study a streamline upwind Petrov-Galerkin method (SUPG) with bubble stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a consistent Petrov-Galerkin method and shows similar numerical performances as the standard SUPG ...
Xiaowei Liu, Jin Zhang
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On the Convergence of Ritz-Galerkin's Method
Publications of the Research Institute for Mathematical Sciences, 1968 where D is a bounded domain in the (#, jO -plane, P is the boundary of D, and 0), &(:>0), c(>0), / are smooth functions defined on D. In Ritz-Galerkin's method, first we choose a system of linearly independent functions {^J such that they satisfy the given homogeneous boundary condition and they are dense in a function space containing the exact ...
openaire +3 more sources
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 +87 more
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Numerical simulation of fluid-structure interactions with stabilized finite element method
EPJ Web of Conferences, 2016 This paper is interested to the interactions of the incompressible flow with a flexibly supported airfoil. The bending and the torsion modes are considered. The problem is mathematically described.
Sváček Petr
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Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. [PDF]
Int J Numer Methods Eng, 2022 Romor F, Tezzele M, Lario A, Rozza G.
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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 +4 more
wiley +1 more source
Constructing robust and efficient experimental designs in groundwater modeling using a Galerkin method, proper orthogonal decomposition, and metaheuristic algorithms. [PDF]
PLoS One, 2021 Ushijima TT, Yeh WWG, Wong WK.
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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
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Recent developments in stabilized Galerkin and collocation meshfree methods
Computer Assisted Methods in Engineering and Science, 2017 Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields ...
Jiun-Shyan Chen +2 more
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