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 Jul 10 comment Factorizing a saddle point operator @ShuhaoCao: It is the divergence operator, but my current formulation is continuous, not discrete. For simplicity, I'm currently considering a 1D case where the divergence and gradient operators are equivalent. In the future, I'd like to consider higher dimensional cases where $u_1$ is, in fact, vector valued. Jul 10 comment Factorizing a saddle point operator @RobertLewis: LU is not favorable because the resulting discrete linear operator is large. I'm trying to avoid a large solve by splitting the continuous operator before discretizing the system. Jul 10 asked Factorizing a saddle point operator Jun 5 accepted Laplace equation with periodic boundary conditions Jun 4 comment Laplace equation with periodic boundary conditions @Landscape: Sounds fair enough :) Jun 4 comment Laplace equation with periodic boundary conditions @Landscape: Indeed, this is what I suspected. But what of the form of the solutions? Are all solutions scalar shifts of each other if the periodic neumann condition is not imposed? Jun 4 comment Laplace equation with periodic boundary conditions @Landscape: Of course! Jun 4 asked Laplace equation with periodic boundary conditions May 6 awarded Caucus May 5 accepted Factoring a time derivative operator outside of an integral in space May 5 asked Factoring a time derivative operator outside of an integral in space Apr 8 awarded Nice Question Mar 24 accepted What is the purpose of computing the eigenvalue of a PDE problem? Feb 28 accepted Name of a maximum bound Feb 28 comment Name of a maximum bound Thanks @copper.hat! I presume that we could also limit our search for a maximum to the unit ball $||x||=1$, correct? Feb 28 asked Name of a maximum bound Feb 15 comment Convexity of a function @Star: I agree with GodricSeer. If you could provide some of the details (or an outline) of your proof, and where in the proof you need help, we will be able to help you better. Feb 15 comment Convexity of a function Have you tried using the definition of convexivity? en.wikipedia.org/wiki/Convex_function#Definition Jan 31 comment Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks Thank you so much for posting this question! You may have just single handedly saved my research!!! Jan 20 asked Classification of linear systems of partial differential equations