A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore +3 more
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Numerical Solution of the Convective and Diffusive Transport Problems in a Heterogeneous Porous Medium Using Finite Element Method [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The finite element approximation of the convective and diffusive transport equation has been considered. Different methods for stabilization of the finite element approximation have been discussed: upwind approximation of the convective term using ...
M.V. Vasilyeva +2 more
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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems. [PDF]
Entropy (Basel), 2022 Zhang T, Li X.
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A quasi-linear evolution equation and the method of Galerkin [PDF]
, 1973 R. W. Dickey
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Finite Strain Robust Topology Optimization Considering Multiple Uncertainties
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular, the loading, material properties, and geometry uncertainties are incorporated within the topology optimization framework and are modeled by random vectors or random
Nan Feng +2 more
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Time-periodic solution for a fourth-order parabolic equation describing crystal surface growth
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, by using the Galerkin method, the existence and uniqueness of time-periodic generalized solutions to a fourth-order parabolic equation describing crystal surface growth are proved.
Xiaopeng Zhao, Bo Liu, Ning Duan
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The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method. [PDF]
Eng Comput, 2022 Asadi-Mehregan F, Assari P, Dehghan M.
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Galerkin Methods in the Constructive Solvability of Nonlinear Hammerstein Equations with Applications to Differential Equations [PDF]
, 1978 Patricia M. Fitzpatrick, W. V. Petryshyn
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Space‐Time Boundary Elements on Graded Meshes for 3D Elastodynamics
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT The solution to the elastodynamic equations in the exterior of a polygonal or polyhedral domain or a screen exhibits singularities at corners and edges. This paper presents a space‐time boundary element method in 3D on algebraically graded meshes to resolve these singularities, based on recently obtained error estimates for the weakly singular
Alessandra Aimi +3 more
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Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]
Int J Appl Comput Math, 2022 Panchore V.
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