4301Intro20081001

4301Intro20081001 - • homogeneous Dirichlet BCs constant...

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Applied Mathematics 4301: Numerical Methods for PDEs Introduction, Lecture #5 Wed aft. 4:10-6:40 S. W. Mudd Bldg. 1024 Prof. David Keyes, instructor S. W. Mudd Bldg. 215 [email protected] Yan Yan, teaching assistant [email protected] Lecture #5 (Part A) 1 October 2008
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Plan for 1 Oct meeting • Review • Questions, Logistics, Action Items, Schedule • Main lecture “Introduction to Elliptic PDEs”
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Review of 24 Sept lecture • Discussed homework at the blackboard • Introduced the finite element method more properly – variational (or “weak”) form – cardinal basis of piecewise linear functions – goal of FE theory: bound norm of relative error over entire domain, not just sample points • Did examples: – started with the spatial (steady) term of the diffusion operator for ODE BVPs, a 1D elliptic prototype • homogeneous Dirichlet BCs, constant coefficients • variable coefficients • inhomogeneous Dirichlet BCs • homogeneous Neumann BCs • inhomogeneous Neumann BCs – put back the temporal (transient) term, 1D parabolic
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Unformatted text preview: • homogeneous Dirichlet BCs, constant coefficients • homogeneous Neumann BCs Questions? • Content from last week? • Logistics? Homework pipeline • PS #1 returned • PS #2 being graded • PS #3 posted 9/17 – due 10/1 • PS #4 posted 9/24 – due 10/8 – questions welcome today • PS #5 posted today – due 10/22* *In three weeks, not due on the evening of our midterm. However, it would be good to begin to work PS #5 as part of an overall strategy of preparing for the midterm. Action items for this week • Obtain new electronic handouts • Finish work on problem sets #4 • Start work on problem set #5 (in order to report questions) • Communicate suggestions/questions to [email protected] • Regularly check e-mail for updates on schedule – note Midterm coming up on October 15 – in class, full period, closed book and notes – study guide to be distributed by next week...
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4301Intro20081001 - • homogeneous Dirichlet BCs constant...

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