Re: [deal.II] Initial guidance/starting point for solving a non-linear diffusion equation with double neumann BCs

2020-03-13 Thread Wolfgang Bangerth
1. Unlike Step-7, I have Neumann-only BCs. In my prior experience with the FD and FV methods, this is a difficult problem. Is there any specific advice that can help me with this? But step-7 also has Neumann boundary conditions. What is different in your case? That you *only* have Neumann

Re: [deal.II] Initial guidance/starting point for solving a non-linear diffusion equation with double neumann BCs

2020-03-13 Thread Krishnakumar Gopalakrishnan
Hi Daniel, Thank you for your reply. I had seen all the tutorials you mentioned. Let me further clarify some of the things in my PDE that are somewhat different from the tutorials. 1. Unlike Step-7, I have Neumann-only BCs. In my prior experience with the FD and FV methods, this is a difficult

Re: [deal.II] Initial guidance/starting point for solving a non-linear diffusion equation with double neumann BCs

2020-03-12 Thread Daniel Arndt
Krishna, Have a look at step-7 for Neumann boundary conditions, step-15 for nonlinear problems and step-26 for time-dependent problems to get started. Let us know if you have more specific questions. Best, Daniel Am Do., 12. März 2020 um 17:38 Uhr schrieb Krishnakumar Gopalakrishnan <

[deal.II] Initial guidance/starting point for solving a non-linear diffusion equation with double neumann BCs

2020-03-12 Thread Krishnakumar Gopalakrishnan
I need to solve the following non-linear diffusion equation on a unit 1D domain: du/dt = \nabla \dot ( D(u) \grad u) subject to Neumann bcs at both ends. D(u)*grad(u) = f(t) at x=0, and D(u)*grad(u) = 0 at x=1, with a constant initial condition u(x,0) = u0 The difficulty with this problem is