Results 61 to 70 of about 625,960 (181)

Reproductive solution for grade-two fluid model in two dimensions

open access: yesRevista Integración, 2009
We treat the existence of reproductive solution (weak periodic solution) of a second-grade fluid system in two dimensions, by using the Galerkin approximation method and compactness arguments.
L. Friz   +2 more
doaj   +4 more sources

Recent developments in stabilized Galerkin and collocation meshfree methods

open access: yesComputer 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
doaj  

Galerkin approximation for multi-term time-fractional differential equations

open access: yesAin Shams Engineering Journal
Fractional differential equations (FDEs) are utilized as a precise model for describing a wide range of biological and physical processes, benefiting from the inherent symmetry feature in natural phenomena.
Shams Ul Arifeen   +3 more
doaj   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor   +2 more
wiley   +1 more source

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

open access: yes, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

Entropy‐Stable and Energy‐Conservative Fully‐Discrete Finite Element Method for Non‐Isothermal Phase‐Field Models

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This work presents a conforming finite‐element scheme for non‐isothermal phase‐field systems coupled to the incompressible Navier–Stokes equations. The proposed numerical scheme preserves entropy production and total energy conservation exactly by variable transformations using entropy as the main variable instead of temperature.
Aaron Brunk, Dennis Höhn
wiley   +1 more source

Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel   +2 more
wiley   +1 more source

Numerical Implementation of Meshless Methods for Beam Problems

open access: yesArchives of Civil Engineering, 2012
For solving a partial different equation by a numerical method, a possible alternative may be either to use a mesh method or a meshless method. A flexible computational procedure for solving 1D linear elastic beam problems is presented that currently ...
Rosca V. E., Leitāo V. M. A.
doaj   +1 more source

Performance of a Mixed Least‐Squares Finite Element Formulation With Application in Poroelasticity

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A mixed least‐squares finite element method (LSFEM), previously proposed for the theory of porous media (TPM), is further investigated in this work. Finite deformation of a fully saturated, incompressible solid–fluid binary system is studied using the LSFEM.
Manu Hegde   +3 more
wiley   +1 more source

Discontinuous Galerkin approximation of the Maxwell eigenproblem [PDF]

open access: yes, 2005
A theoretical framework for the analysis of discontinuous Galerkin approximations of the Maxwell eigenproblem with discontinuous coefficients is presented.
BUFFA A.   +6 more
core   +1 more source

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