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Results tagged with linear-pde
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user 126814
Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Analytical testcase for 2D/3D anisotropic Diffusion (Heat Kernel)
I want to verify and compare different Discretizations of the anisotropic diffusion equation in 2D / 3D image of my testsetting.
I want to verify and compare different Discretizations of the anisotro …
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Analytical testcase for 2D/3D anisotropic Diffusion (Heat Kernel)
Thanks to @Andrew I dug out the following solution:
$$
u(\vec{x},\vec{\mu},t) = \frac{1}{(4\pi~ t)^{d/2}~\sqrt{|\mathbf{D}|}} \exp \large(\frac{-(\vec{x}-\vec{\mu})^{T} \mathbf{D}^{-1}(\vec{x}-\vec{\ …
- 11