Results 101 to 110 of about 37,719 (241)

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

open access: yesJournal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

Free Bars in Straight Channels: Pattern Formation far Beyond Criticality

open access: yesJournal of Geophysical Research: Earth Surface, Volume 131, Issue 7, July 2026.
Abstract Bar formation plays a central role in river morphodynamics and has been extensively studied by means of analytical theories, flume experiments and numerical simulations. In this study, we investigate strongly nonlinear mode competition and free bar dynamics using a spectral numerical model. Starting from near‐flat random bed initial conditions,
F. Weber   +4 more
wiley   +1 more source

Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]

open access: yesمهندسی عمران شریف
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj   +1 more source

Leaky Sewers Hydraulically Disconnect from Groundwater: A Proof‐of‐Concept

open access: yesGroundwater, Volume 64, Issue 4, Page 483-497, July/August 2026.
In this study, we newly demonstrate that leaky pipes can become hydraulically disconnected from the underlying groundwater—a phenomenon analogous to river–groundwater interactions. Through numerical modeling, we show that, as the groundwater table declines, the leakage flux from the pipe (in absolute terms) initially increases until a critical depth ...
Aaron Peche   +5 more
wiley   +1 more source

Comparison of high-order methods on unstructured grids [PDF]

open access: yes, 2013
A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
core  

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes [PDF]

open access: yes, 2005
This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight ...
Buffa, Annalisa   +2 more
core  

A Cartesian-grid integrated-RBF Galerkin technique [PDF]

open access: yes, 2010
This paper describes a high-order Galerkin technique, which is based on indirect/integrated radial-basis-function networks (IRBFNs) and Cartesian grids, for the discretisation of elliptic problems in two dimensions.
Mai-Duy, N., Ho-Minh, D., Tran-Cong, T.
core  

A symmetric nodal conservative finite element method for the Darcy equation [PDF]

open access: yes, 2009
This work introduces and analyzes novel stable Petrov-Galerkin EnrichedMethods (PGEM) for the Darcy problem based on the simplest but unstable continuous P1/P0 pair.
Franca, L. P.   +2 more
core   +1 more source

Galerkin methods

open access: yesScholarpedia, 2010
Slimane Adjerid, Mahboub Baccouch
openaire   +2 more sources

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