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andrewritzmann / femtools

A c++ toolkit for finite element tools
Apache License 2.0
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Research and establish a time-dependent problem that can be solved using one-dimensional finite element methods #3

Open andrewritzmann opened 7 years ago

andrewritzmann commented 7 years ago

This item involves identifying a sample problem that requires evolving a finite element solution over time.

  1. If the "samples" directory does not yet exist in the root of the repository, please create it.
  2. Add a c++ file to the samples directory that contains comments outlining the problem and how it is to be solved using finite element approaches.
  3. Upload a document (word, pdf, etc...) to this thread explaining the problem you are trying to solve. The problem should be well-described, properly researched, and references should be provided. This document shall contain a flowchart showing how the problem will be solved using finite elements. The document must contain reference solutions so that the results may be validated in comparison to expected results.
andrewritzmann commented 7 years ago

I would suggest solving a heat equation dT/dt = -alpha * d2T/dx2 in one dimension. Consider using quadratic or higher order elements.