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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