Software demo for Workshop on Computational Tools for PDEs with Complicated Geometries and Interfaces
- FMM3D: Fast multipole libraries in three dimensions
- fmm3dbie: Fast multipole accelerated iterative solvers for integral equations
- chebfun: Numerical computing with functions
- Surface smoother: Converts flat triangulated meshes into high order meshes
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Demo 1: Illustrate loading of meshes, verify green's identity at an exterior point using smooth quadrature
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Demo 2: Compare application of layer potential on a sphere with its analytically known solution on and off surface
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Demo 3: Illustrate the use of the Surface Smoother GUI to convert a flat triangulated boxed torus to a high-order smoothed boxed torus
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Demo 4: Illustrate Neumann solver on boxed torus geometry
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Problem set 1: Illustrate order of convergence for a stellarator like geometry (Done)
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Problem set 2: Play with surface smoother with multiscale geometries
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Problem set 3: Compute bistatic radar cross-section of a smoothed boxed torus
Note that solutions to the problem sets are included in the solutions/ folder