Example 322: Circular BEM example

This problems solves Laplaces equation on a circle of radius 1 with the Boundary Element Method (BEM). The circle has 16 nodes and 16 elements around the circumference and the basis functions used are cubic Hermite. A Dirichlet boundary condition of x^2 + 2xy -y^2 is set and the normal derivative is solved for. The numerical results are compared to the known analytic formula for this problem.

The comfile run by this example is as follows:

#Circular BEM test problem. Solves Laplaces equation on a 16 node circle
#of radius 1 with cubic Hermite basis functions. Solution is checked 
#against the analytic solution for a Dirichlet problem. 

fem define base;r;bemcircle;example   #Define a cubic Hermite BEM basis
fem define mesh;r;;example             #Define a circlar mesh with 16
#                                     !  nodes and 16 elements
fem define equa;r;;example             #Define a standard Laplace 
#                                     !  equation for the BEM
fem define mate;r;;example             #Define materials
fem define anal;r;;example             #Calculate the value of the dependent
#                                     !  variable at each of the nodes 
#                                     !  according to x^2+2xy-y^2
fem define init;g                     #Generate the initial conditions 
#                                     !  as per the analytic equation
fem define solv;r;;example             #Define the solve parameters
fem solve                             #Solve the problem

Additional testing commands:

fem solve
fem check solution

Files used by this example are:

Name               Modified     Size

example_322.com    08-Jun-2000  1.0k
bemcircle.changes  10-Apr-2000    0 
bemcircle.ipanal   10-Apr-2000  492 
bemcircle.ipbase   10-Apr-2000  1.2k
bemcircle.ipelem   10-Apr-2000  1.3k
bemcircle.ipequa   26-May-2003  1.0k
bemcircle.ipinit   10-Apr-2000  107 
bemcircle.ipmate   10-Apr-2000   54 
bemcircle.ipmesh   10-Apr-2000  736 
bemcircle.ipnode   10-Apr-2000  3.0k
bemcircle.ippara   17-Dec-2002  5.0k
bemcircle.ipsolv   13-Apr-2007  1.4k
bemcircle.out      10-Apr-2000  6.0k
test_output.com    10-Apr-2000   29 

Download the entire example:

Name                      Modified     Size

examples_3_32_322.tar.gz  14-Apr-2007  8.2k

Testing status by version:

Testing status by file:

• cmiss_test.log
  

  i686-linux
  Success	cm:	cmiss_test.log.retain.
  Success	cm-debug:	cmiss_test.log.retain.
  mips-irix
  Success	cm:	cmiss_test.log.retain.
  Success	cm-debug:	cmiss_test.log.retain.
  Success	cm-debug-clear-malloc:	cmiss_test.log.retain.
  Success	cm-debug-clear-malloc7:	cmiss_test.log.retain.
  Success	cm64:	cmiss_test.log.retain.
  Success	cm64-debug:	cmiss_test.log.retain.
  Success	cm64-debug-clear-malloc:	cmiss_test.log.retain.
  rs6000-aix
  Success	cm:	cmiss_test.log.retain.
  Success	cm-debug:	cmiss_test.log.retain.
  Success	cm64:	cmiss_test.log.retain.
  Success	cm64-debug:	cmiss_test.log.retain.
  x86_64-linux
  Success	cm:	cmiss_test.log.retain.
  Success	cm-debug:	cmiss_test.log.retain.

  
  
• cmiss_test.out
  

  i686-linux
  Success	cm:	ndiff test: no significant differences with generic answer.
  Success	cm-debug:	ndiff test: no significant differences with generic answer.
  mips-irix
  Success	cm:	ndiff test: no significant differences with generic answer.
  Success	cm-debug:	ndiff test: no significant differences with generic answer.
  Success	cm-debug-clear-malloc:	ndiff test: no significant differences with generic answer.
  Success	cm-debug-clear-malloc7:	ndiff test: no significant differences with generic answer.
  Success	cm64:	ndiff test: no significant differences with generic answer.
  Success	cm64-debug:	ndiff test: no significant differences with generic answer.
  Success	cm64-debug-clear-malloc:	ndiff test: no significant differences with generic answer.
  rs6000-aix
  Success	cm:	ndiff test: no significant differences with generic answer.
  Success	cm-debug:	ndiff test: no significant differences with generic answer.
  Success	cm64:	ndiff test: no significant differences with generic answer.
  Success	cm64-debug:	ndiff test: no significant differences with generic answer.
  x86_64-linux
  Success	cm:	ndiff test: no significant differences with generic answer.
  Success	cm-debug:	ndiff test: no significant differences with generic answer.

  
  

Html last generated: Sun Mar 6 05:50:16 2016

Input last modified: Fri Apr 13 10:32:06 2007