'Iterative solvers' diaporamas de présentation

Sources of Parallelism and Locality (Part 2)

Sources of Parallelism and Locality (Part 2). Recap of last lecture. Simulation models A model problem: sharks and fish Discrete event systems Particle systems Lumped systems (Ordinary Differential Equations, ODEs). Outline. Continuation of (ODEs) Partial Differential Equations (PDEs).

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LECTURE 2

1.13k views • 30 slides

Computation on meshes, sparse matrices, and graphs

Computation on meshes, sparse matrices, and graphs. Some slides are from David Culler, Jim Demmel, Bob Lucas, Horst Simon, Kathy Yelick, et al., UCB CS267. Parallelizing Stencil Computations. Parallelism is simple Grid is a regular data structure

410 views • 29 slides

Bill Appelbe, bill@vpac.org

Bill Appelbe, bill@vpac.org . THE SNARK PROJECT. Outline Why do we need another solver? Design of Snark Implementation timetable. Why Another Solver. No solver meets the requirements we have The fundamental requirement is that the solver be Adapt to a wide range problems Fast (parallel)

506 views • 20 slides

Challenges Facing Design and Analysis Tools

Challenges Facing Design and Analysis Tools. Norman F. Knight, Jr. Veridian Systems Division. Second FEMCI Workshop on Innovative Finite Element Modeling Solutions to Challenging Problems May 16-17, 2001 NASA Goddard Space Flight Center. Sponsored by NASA Langley Research Center.

309 views • 20 slides

Overview of CFD Solution Methodologies

Overview of CFD Solution Methodologies. Outline. Ingredients Overview of Solution Methodologies Finite Difference Finite Volume (i.e., Control Volume) Finite Element Strengths and Weaknesses. domain discretization (grid). solution of algebraic equations. equation discretization.

550 views • 14 slides

Iterative Solution of Linear Systems Jacobi Method

Iterative Solution of Linear Systems Jacobi Method. while not converged do {. }. Gauss Seidel Method. while not converged do {. }. Iterative method can be expressed as: x new =c + Mx old , where M is an iteration matrix. Jacobi : Ax = b, where A = L+D+U, i.e.,

2.96k views • 13 slides

Current works

Current works. Finishing Matlab simulator OpenGL Graphics: done Geometry file: can load OBJ file (see later slide) Simple physics framework: 80% Stewart Trinkle: Done with w/o collision detection. Current works.

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Mathematical model: four-field extended MHD equations

Iterative and direct linear solvers in fully implicit magnetic reconnection simulations with inexact Newton methods. Xuefei (Rebecca) Yuan 1 , Xiaoye S. Li 1 , Ichitaro Yamazaki 1 , Stephen C. Jardin 2 , Alice E. Koniges 1 and David E. Keyes 3,4

83 views • 1 slides

Mathematical model: four-field extended MHD equations

Iterative and direct linear solvers in fully implicit magnetic reconnection simulations with inexact Newton methods. Xuefei (Rebecca) Yuan 1 , Xiaoye S. Li 1 , Ichitaro Yamazaki 1 , Stephen C. Jardin 2 , Alice E. Koniges 1 and David E. Keyes 3,4

82 views • 1 slides