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

Abstract

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.

Item Metadata

Title
Finite elements on polygon domains in ℝ²
Creator
Thériault, Alec; Dawydiak, Stefan
Date Issued
2013-05-02
Description
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.
Genre
Report
Type
Text
Language
eng
Series
University of British Columbia. Science One Research Projects
Date Available
2013-05-30
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0107238
URI
http://hdl.handle.net/2429/44526
Affiliation
Science, Faculty of
Campus
UBCV
Peer Review Status
Unreviewed
Scholarly Level
Undergraduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
DSpace

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Attribution-NonCommercial-NoDerivatives 4.0 International