scholarly journals Analysis of finite element approximation for time-dependent Maxwell problems

2003 ◽  
Vol 73 (247) ◽  
pp. 1089-1106 ◽  
Author(s):  
Jun Zhao
Keyword(s):  
Finite Element ◽  
Finite Element Approximation ◽  
Time Dependent ◽  
Element Approximation

Well‐posedness and finite element approximation of time dependent generalized bioconvective flow

2019 ◽  
Vol 36 (4) ◽  
pp. 709-733
Author(s):  
Yanzhao Cao ◽  
Song Chen ◽  
Hans‐Werner Wyk
Keyword(s):  
Finite Element ◽  
Finite Element Approximation ◽  
Time Dependent ◽  
Element Approximation ◽  
Well Posedness ◽  
Bioconvective Flow

Finite Element Solution and Dispersion Analysis for the Transient Structural Acoustics Problem

1990 ◽  
Vol 43 (5S) ◽  
pp. S381-S388 ◽  
Author(s):  
N. N. Abboud ◽  
P. M. Pinsky
Keyword(s):  
Finite Element ◽  
Wave Equation ◽  
Three Dimensional ◽  
Finite Element Approximation ◽  
Dispersion Analysis ◽  
Time Dependent ◽  
Element Approximation ◽  
Element Formulation ◽  
Structural Acoustics ◽  
Boundary Operators

In this paper a finite element formulation is proposed for solution of the time-dependent coupled wave equation over an infinite fluid domain. The formulation is based on a finite computational fluid domain surrounding the structure and incorporates a sequence of boundary operators on the fluid truncation boundary. These operators are designed to minimize reflection of outgoing waves and are based on an asymptotic expansion of the exact solution for the time-dependent problem. The variational statement of the governing equations is developed from a Hamiltonian approach that is modified for nonconservative systems. The dispersive properties of finite element semidiscretizations of the three dimensional wave equation are examined. This analysis throws light on the performance of the finite element approximation over the entire range of wavenumbers and the effects of the order of interpolation, mass lumping, and direction of wave propagation are considered.

Superconvergence of Finite Element Methods for Optimal Control Problems Governed by Parabolic Equations with Time-Dependent Coefficients

2013 ◽  
Vol 3 (3) ◽  
pp. 209-227
Author(s):  
Yuelong Tang ◽  
Yanping Chen
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Optimal Control Problems ◽  
Finite Element Approximation ◽  
Euler Method ◽  
Time Dependent ◽  
Control Problems ◽  
Element Approximation ◽  
Time Discretisation ◽  
Backward Euler

AbstractIn this article, a fully discrete finite element approximation is investigated for constrained parabolic optimal control problems with time-dependent coefficients. The spatial discretisation invokes finite elements, and the time discretisation a nonstandard backward Euler method. On introducing some appropriate intermediate variables and noting properties of the L2 projection and the elliptic projection, we derive the superconvergence for the control, the state and the adjoint state. Finally, we discuss some numerical experiments that illustrate our theoretical results.

scholarly journals Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

2007 ◽  
Vol 196 (21-24) ◽  
pp. 2413-2430 ◽  
Author(s):  
Ramon Codina ◽  
Javier Principe ◽  
Oriol Guasch ◽  
Santiago Badia
Keyword(s):  
Finite Element ◽  
Incompressible Flow ◽  
Finite Element Approximation ◽  
Time Dependent ◽  
Element Approximation ◽  
Stabilized Finite Element ◽  
Flow Problems

scholarly journals Finite element approximation for time-dependent diffusion with measure-valued source

2012 ◽  
Vol 122 (4) ◽  
pp. 709-723 ◽  
Author(s):  
Thomas I. Seidman ◽  
Matthias K. Gobbert ◽  
David W. Trott ◽  
Martin Kružík
Keyword(s):  
Finite Element ◽  
Finite Element Approximation ◽  
Time Dependent ◽  
Element Approximation
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