Results 81 to 90 of about 383,945 (221)
Energies, 2017 Reduced-order modeling approaches for gas flow in dual-porosity dual-permeability porous media are studied based on the proper orthogonal decomposition (POD) method combined with Galerkin projection.
Yi Wang, Shuyu Sun, Bo Yu
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The Influence of Gradiations of Porous Structures Onto Their Effective Mechanical Behavior
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Hybrid porous materials exploit graded pore architectures to tailor their mechanical performance. Here, FFT‐based homogenization of three‐dimensional volume elements is used to study the influence of different gradation concepts in an aluminum matrix at a fixed solid volume fraction of 80%.
Sarah Staub +3 more
wiley +1 more source
Rapid convergence of a Galerkin projection of the KdV equation
Comptes Rendus. Mathématique, 2005 In this Note, it is shown that a Fourier Galerkin approximation of the Korteweg–de Vries equation with periodic boundary conditions converges exponentially fast if the initial data can be continued analytically to a strip about the real axis.
openaire +1 more source
, 2020 Recent results on the convergence of a Galerkin projection method for the Sylvester equation are extended to more general linear systems with tensor product structure.
Christine Tobler +2 more
core
Journal of Inequalities and Applications, 2017 In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is ( k + 3 / 2 ) $(k+3/2)$ th-order superconvergent to a particular projection ...
Hui Bi, Chengeng Qian
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT This paper addresses polytope element formulations, which facilitate flexible meshing of complex geometries. While two‐dimensional polygon elements have gained popularity, we focus specifically on less explored three‐dimensional polyhedral element formulations.
Ajay Kumar Pasupuleti +4 more
wiley +1 more source
An Error Analysis Of Galerkin Projection Methods For Linear Systems With Tensor Product Structure [PDF]
Recent results on the convergence of a Galerkin projection method for the Sylvester equation are extended to more general linear systems with tensor product structure.
Kressner, Daniel +2 more
core +2 more sources
A Galerkin Method for a Gaseous Ignition Model
Sultan Qaboos University Journal for Science, 2012 We consider a Galerkin procedure to solve a parabolic integrodifferential equation that arises in a gas combustion model. This model has been proposed by Kassoy and Poland, and subsequently analyzed by Bebernes, Eberly and Bressan.
M. Salman, Jintae Kim
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Shooting Methods for Boundary Value Problems of Fractional Differential Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider two‐point boundary value problems of fractional differential equations (FDEs) including a Caputo derivative with a fractional order in the range (0,1) or (1,2). The numerical solution of a boundary value problem is investigated using shooting methods.
Roland Pulch, Abhishek Kumar Singh
wiley +1 more source