Finite difference procedure for solution of poisson equation over complex domains with Neumann boundary conditions

1978 ◽  
Vol 6 (2) ◽  
pp. 71-81 ◽  
Author(s):  
R.W. Benodekar ◽  
A.W. Date
Keyword(s):  
Finite Difference ◽  
Boundary Conditions ◽  
Poisson Equation ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions

Boundary conditions for the numerical solution of wave propagation problems

Geophysics ◽  
1978 ◽  
Vol 43 (6) ◽  
pp. 1099-1110 ◽  
Author(s):  
Albert C. Reynolds
Keyword(s):  
Wave Propagation ◽  
Reflection Coefficient ◽  
Finite Difference ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Neumann Boundary ◽  
Synthetic Seismograms ◽  
Neumann Boundary Conditions ◽  
Numerical Calculations ◽  
Reflection Coefficients

Many finite difference models in use for generating synthetic seismograms produce unwanted reflections from the edges of the model due to the use of Dirichlet or Neumann boundary conditions. In this paper we develop boundary conditions which greatly reduce this edge reflection. A reflection coefficient analysis is given which indicates that, for the specified boundary conditions, smaller reflection coefficients than those obtained for Dirichlet or Neumann boundary conditions are obtained. Numerical calculations support this conclusion.

On the Treatment of Neumann Boundary Conditions in Solving Poisson Equation Using Meshless Galerkin Method

2013 ◽  
Vol 816-817 ◽  
pp. 734-738
Author(s):  
Xiang Dong Zhang ◽  
Lei Wang
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Poisson Equation ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Proper Method ◽  
Meshless Galerkin Method

This paper studies the treatment of Neumann boundary conditions when solving Poisson equation using meshless Galerkin method. We find that Neumann boundary conditions can be implemented more accurately by adopting proper method. Advantages of doing this are also shown.

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