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Partial differential equations (PDEs) are equations that relate the partial derivatives of a function of more than one variable. This tag is intended for questions on modeling phenomena with PDEs, solving PDEs, and other related aspects.
8
votes
2
answers
434
views
The effect of decoupling a coupled system of PDEs
I asked a somewhat similar question previously but perhaps it might have been too specific for anyone to really answer. Here is a bit more general of a question that I am struggling with. Consider the …
14
votes
0
answers
542
views
Sequential approach to solving coupled PDEs
I'm dealing with a coupled system of three transient, non-linear convection-diffusion equations. Let's just say to simplify the problem that they take the following form:
$$
-\nabla\cdot(D_{1}(u_{2},u …
6
votes
1
answer
804
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How to project a vector into the H(div) space (in the context of finite elements)?
Say I have a simple elliptic PDE:
$$
-\nabla\cdot(K\nabla p) = f \;\;\;\text{in}\;\Omega
$$
with the appropriate boundary conditions. …