4301Intro20081105

4301Intro20081105 - • Algebraic Multigrid (AMG) –...

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Applied Mathematics 4301: Numerical Methods for PDEs Introduction, Lecture #10 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 #10 (Part A) 5 November 2008
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Plan for 5 Nov meeting • Review of stationary iterative methods and multigrid • Questions • Main lecture “Introduction to Krylov methods”
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Outline Model Problems Basic Iterative Methods – Convergence tests – Analysis Elements of Multigrid – Relaxation – Coarsening Implementation – Complexity – Diagnostics Some Theory – Spectral vs. algebraic Chapters 1-5: Chapters 6-10: Nonlinear Problems – Full approximation scheme Selected Applications – Neumann boundaries – Anisotropic problems – Variable meshes – Variable coefficients
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Unformatted text preview: • Algebraic Multigrid (AMG) – Matrix coarsening • Multilevel Adaptive Methods – FAC • Finite Elements – Variational methodology √ For the remaining topics, read the book! (We may come back to a few highlights in this introductory course.) √ √ Homework pipeline • PS #5 solution set available • PS #6 solution set being prepared • PS #7 posted – draws on lecture #9 and lecture #10 – due Friday 11/21, 4:30pm Schedule modification • There will be no class 19 Nov 2007 • “Lecture #12” will be made up at a mutually convenient and curricularly appropriate time – December 10 proposed • Remember the AFTERMATH party on 26 Nov 2007 Action items for this week • Obtain new electronic handouts – two slide sets for Lecture #10...
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This note was uploaded on 08/30/2011 for the course APMA 4301 taught by Professor Keyes during the Fall '08 term at Columbia.

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4301Intro20081105 - • Algebraic Multigrid (AMG) –...

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