Feng Xing <[email protected]> writes: > It’s a variation of 3d Poisson equation ( -Delta u=f, u is unknown, f > is a given function ). Mathematically, they have similar properties.
Variable coefficients? Negative shift? Geometry? (These totally change the behavior of the equation.) Or really just a Laplacian in a nice domain? > So, I didn’t precise the details to make it look like too > complicated. Numerically, the discretisation is by the standard finite > element method or the finite volume method. So this is a test problem and nobody cares about the answer? You're using it as a proxy for something else? It is extremely common to reach misleading conclusions when using the Laplacian as a test. If you really care about solving this particular problem efficiently, there are a myriad of techniques for improving performance by orders of magnitude.
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