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A popular krylov subspace method for solving linear systems of equations, particularly those that exhibit symmetric positive definiteness.
4
votes
1
answer
465
views
Linear equation system: Direct solver works, iterative solver does not
I have to solve for x in b = A*x, where a is sparse. This works fine with Matlab's mldivide: x = A \ b. Since I will have to use an iterative algorithm for very large A, I'm currently testing Matlab's …
4
votes
Accepted
Linear equation system: Direct solver works, iterative solver does not
The problem was in the underlying coupled PDE FEM model. This model includes a potential which is not fixed in any point, so any result potential = phi + C would be a solution, where C is an integrati …
2
votes
1
answer
175
views
Solve FEM matrix from coupled system
I'm developing an FEM solver for a coupled system. I have diffusion and potential equations which result in positive definite matrices for each equation, but the coupling makes the overall system matr …