scholarly journals Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition

2009 ◽  
Vol 232 (1) ◽  
pp. 109-121 ◽  
Author(s):  
Daisuke Koyama
Keyword(s):  
Finite Element Method ◽  
Boundary Condition ◽  
Finite Element ◽  
Error Estimates ◽  
The Finite Element Method ◽  
Helmholtz Problem ◽  
Element Method

Transient Stokes Flow in a Wedge

1987 ◽  
Vol 54 (1) ◽  
pp. 203-208 ◽  
Author(s):  
Bohou Xu ◽  
E. B. Hansen
Keyword(s):  
Finite Element Method ◽  
Boundary Condition ◽  
Finite Element ◽  
Boundary Element Method ◽  
Circular Cylinder ◽  
Stokes Flow ◽  
Constant Velocity ◽  
Transient Flow ◽  
The Finite Element Method ◽  
Element Method

The transient flow in the sector region bounded by two intersecting planes and a circular cylinder is determined in the Stokes approximation. The plane boundaries are assumed to be at rest while the cylinder is rotating with a constant velocity starting at t = 0. The problem is solved by means of three different methods, a finite element, a finite difference, and a boundary element method. The corresponding problem in which the constant velocity boundary condition on the cylinder is replaced by a condition of constant stress is also solved by means of the finite element method.

Finite element error estimates for nonlinear convective problems

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Václav Kučera
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Estimates ◽  
The Finite Element Method ◽  
Element Error ◽  
Element Method

AbstractThis paper is concerned with the analysis of the finite element method applied to a nonstationary nonlinear convective problem. Using special estimates of the convective terms, we prove

Sign in / Sign up

Export Citation Format

Share Document