The Laplace Transform Dual Reciprocity Boundary Element Method For Nonlinear Transient Field Problems
Free (open access)
M E Honnor & A J Davies
The Laplace transform method in the time domain provides an alternative to time marching schemes for nonlinear transient field problems. The advantages over time marching schemes are that there are no time step limits imposed due to accuracy and stability. Furthermore since the solution at a particular time is not dependant on the solution at any other time, apart from initial conditions, the method is suitable for the solution in a distributed memory environment, with virtually no communication overhead between processors, as each processor is working on the solution at a different time. The Laplace Transform Dual Reciprocity Boundary Element Method has been implemented on a 512 processor nCUBE machine arranged in a hypercube configuration.