UBC Undergraduate Research

Finite elements on polygon domains in ℝ² Thériault, Alec; Dawydiak, Stefan


Partial differential equations with Dirichlet boundary conditions are treated with a Finite Element Method over non-convex non-punctured polygon domains in ℝ². A program for generating and optimizing triangular meshes is developed. The model's error is measured against analytic solutions for certain heat and wave equation domains.

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