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[D] Boundary element method for Differential Equations

Boundary element methods can be used to solve differential equations, where for some of the elements (boundary elements), the solution value is given/ fixed. Boundary element methods have been used in ML, example being solving image blending task using poisson equation with given boundary elements.

https://en.wikipedia.org/wiki/Discrete_Poisson_equation

My question is: What is the effect of sparsity of boundary elements on the solution of the differential equation ?

submitted by /u/WillingCucumber
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Toronto AI is a social and collaborative hub to unite AI innovators of Toronto and surrounding areas. We explore AI technologies in digital art and music, healthcare, marketing, fintech, vr, robotics and more. Toronto AI was founded by Dave MacDonald and Patrick O'Mara.