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[Getfem-users] Implementing nonlinearity with multiple variables


From: Xilexio
Subject: [Getfem-users] Implementing nonlinearity with multiple variables
Date: Sun, 16 Feb 2014 12:24:36 +0100

I'm trying to implement discretization of reaction-diffusion PDEs
(u_t(x,t) - D^2 u(x,t) = f(u(x,t)), where my unknown (u : R^2 x R ->
R^3) is multi-dimensional (not a vector though) and function f
(R^3->R^3) is a rational function (P_k/P_l). I'm having trouble with
discretizing f(u(x,t)). I'm using getfem 4.2 on Windows, mingw32 (with
muparser).

Is there a way to implement discretization of f(u(x,t)) without using
internal functions?

Basic nonlinear brick supports only a single scalar field variable and
low-level generic assembly requires coding non-linear term using
getfem++'s internals.

I'd use high-level generic assembly from svn trunk's getfem++, but it
doesn't ./configure for me (after ./autogen.sh, ./configure has syntax
errors in config.status and, after repairing it, missing Makefiles and
other files).



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