Results 101 to 110 of about 625,960 (181)

Existence of Solutions for a Viscoelastic Plate Equation with Variable Exponents and a General Source Term

Mathematics
The subject of this study is a nonlinear viscoelastic plate equation with variable exponents and a general source term. Through the application of the Faedo–Galerkin approximation method and a fixed point theorem under appropriate assumptions, we proved ...
Youcef Bouizem, Asma Alharbi, Salah Boulaaras   +2 more
doaj   +1 more source

Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems

International Journal of Mathematics and Mathematical Sciences, 1979
Linear multistep methods are considered which have a stability region S and are D-stable on the whole boundary ∂S⊂S of S. Error estimates are derived which hold uniformly for the class of initial value problems Y′=AY+B(t), t>0, Y(0)=Y0 with normal matrix
Eckart Gekeler
doaj   +1 more source

Global Existence and Decay Estimates for a Viscoelastic Petrovsky–Kirchhoff-Type Equation with a Delay Term

Axioms
In this paper, we consider a viscoelastic Kirchhoff equation with a delay term in the internal feedback. By using the Faedo–Galerkin approximation method, we prove the well posedness of the global solutions.
Noureddine Sebih, Abdelhamid Mohammed Djaouti, Chafi Boudekhil, Ashraf Al-Quran   +3 more
doaj   +1 more source

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core   +1 more source

Galerkin approximations of nonlinear optimal control problems in Hilbert spaces

Electronic Journal of Differential Equations, 2017
Nonlinear optimal control problems in Hilbert spaces are considered for which we derive approximation theorems for Galerkin approximations. Approximation theorems are available in the literature.
Mickael D. Chekroun, Axel Kroner, Honghu Liu   +2 more
doaj  

Galerkin approximation of dynamical quantities using trajectory data. [PDF]

J Chem Phys, 2019
Thiede EH, Giannakis D, Dinner AR, Weare J.   +3 more
europepmc   +1 more source

Semi-discrete Galerkin approximation method applied to initial boundary value problems for Maxwell's equations in anisotropic, inhomogeneous media

, 1981
SynopsisIn this paper the semi-discrete Galerkin approximation of initial boundary value problems for Maxwell's equations is analysed. For the electric field a hyperbolic system of equations is first derived.
Pekka Neittaanmäki, Jukka Saranen
core   +1 more source

A Galerkin Finite Element Method for a Nonlocal Parabolic System with Nonlinear Boundary Conditions Arising from the Thermal Explosion Theory

Mathematics
In this paper, we discuss a class of nonlocal parabolic systems with nonlinear boundary conditions arising from the thermal explosion theory. First, we prove the local existence and uniqueness of the classical solution using the Leray–Schauder fixed ...
Qipeng Guo, Yu Zhang, Baoqiang Yan
doaj   +1 more source

Sparse tensor phase space Galerkin approximation for radiative transport. [PDF]

Springerplus, 2014
Grella K.
europepmc   +1 more source

A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]

, 1996
A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
core