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3
votes
3answers
102 views

How to assemble Global matrix (for coupled) problem?

I'm trying to assemble global matrices for the following system. $$ \begin{bmatrix} K& Q\\ Q^T&S \end{bmatrix} \begin{bmatrix} u_h\\ p_h \end{bmatrix} = \begin{bmatrix} f_u\\ f_p ...
1
vote
1answer
110 views

What does “strongly conservative” mean in the context of numerical methods?

I have a homework problem that asks me to show that 1st order unwinding or central differencing can give a strongly conservative, consistent scheme for the 1-D Burger's Equation using a finite volume ...
2
votes
1answer
241 views

Singular matrix for 2D stokes flow in finite differences

I have a problem by solving stokes flow in 2D by finite differences. I am using a marker and cell method, my scheme is o-------vx1.1-------o-------vx1.2-------o | | ...
5
votes
1answer
189 views

Are serendipity elements still polynomially complete when the quadrilateral is skewed?

I have not implemented these elements before, but I like their reduced cardinality compared to (e.g.) a tensor product of lagrange interpolants, which is very "overcomplete" (especially for orders>2) ...