Sparse matrix solvers on the GPU: conjugate gradients and multigrid

  • Authors:
  • Jeff Bolz;Ian Farmer;Eitan Grinspun;Peter Schröder

  • Affiliations:
  • Caltech;Caltech;Caltech;Caltech

  • Venue:
  • SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

Many computer graphics applications require high-intensity numerical simulation. We show that such computations can be performed efficiently on the GPU, which we regard as a full function streaming processor with high floating-point performance. We implemented two basic, broadly useful, computational kernels: a sparse matrix conjugate gradient solver and a regular-grid multigrid solver. Real-time applications ranging from mesh smoothing and parameterization to fluid solvers and solid mechanics can greatly benefit from these, evidence our example applications of geometric flow and fluid simulation running on NVIDIA's GeForce FX.