Guodong Chen

Guodong Chen

Doctor of Philosophy @
Aerospace Engineering
& Scientific Computing,
University of Michigan

Hello World

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Hello world! This is a test blog! My personal web just came online, I’ll keep updating it ;)

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Discontinuous Galerkin On Graphics Processing Units

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Discontinuous Galerkin (DG) is a popular class of numerical methods for solving partial differential equations (PDEs). Like any other finite element method, the solution inside each mesh element is approximated by a set of basis functions in DG. However, as indicated by the name, no continuity restrictions are enforced at element interfaces. The coupling between adjacent elements only comes in with uniquely defined inter-element numerical fluxes. The discontinuity nature might be counterintuitive at first glance, while it buys DG many advantages over traditional numerical methods.

Some Interesting Linear Algebra Problems

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In this blog, I collected some interesting (I thought) theorems, conclusions, and problems in linear algebra. It’s mainly for my own reference and for fun! I’ll update them and related proofs frequently ;).