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- Matthew G. Knepley, Dmitry A. Karpeev
- Scientific Programming
- 2009

We have developed a new programming framework, called Sieve, to support parallel numerical PDE1 algorithms operating over distributed meshes. We have also developed a reference implementation ofâ€¦ (More)

- Peter R. Brune, Matthew G. Knepley, Barry Smith, Xuemin Tu
- SIAM Review
- 2015

Most efficient linear solvers use composable algorithmic components, with the most common model being the combination of a Krylov accelerator and one or more preconditioners. A similar set ofâ€¦ (More)

- Brad T. Aagaard, Matthew G. Knepley, Charles A. Williams
- ArXiv
- 2013

We employ a domain decomposition approach with Lagrange multipliers to implement fault slip in a finite-element code, PyLith, for use in both quasi-static and dynamic crustal deformationâ€¦ (More)

- Matthew G. Knepley, Vivek Sarin, Ahmed H. Sameh
- IRREGULAR
- 1998

Simulation of particles in uids is computationally a very challenging problem. These simulations require the solution of nonlinear Navier-Stokes equations for uids coupled with Newton's equations forâ€¦ (More)

- Rio Yokota, Jaydeep P. Bardhan, Matthew G. Knepley, Lorena A. Barba, Tsuyoshi Hamada
- Computer Physics Communications
- 2011

We present teraflop-scale calculations of biomolecular electrostatics enabled by the combination of algorithmic and hardware acceleration. The algorithmic acceleration is achieved with the fastâ€¦ (More)

- Rio Yokota, Lorena A. Barba, Matthew G. Knepley
- ArXiv
- 2009

We have developed a parallel algorithm for radial basis function (rbf) interpolation that exhibits O(N) complexity, requires O(N) storage, and scales excellently up to a thousand processes. Theâ€¦ (More)

- Robert C. Kirby, Matthew G. Knepley, Anders Logg, L. Ridgway Scott
- SIAM J. Scientific Computing
- 2005

Assembling stiffness matrices represents a significant cost in many finite element computations. We address the question of optimizing the evaluation of these matrices. By finding redundantâ€¦ (More)

- Felipe A. Cruz, Matthew G. Knepley, Lorena A. Barba
- ArXiv
- 2009

Fast algorithms for the computation of N -body problems can be broadly classified into mesh-based interpolation methods, and hierarchical or multiresolution methods. To this last class belongs theâ€¦ (More)

- Jed Brown, Matthew G. Knepley, David A. May, Lois C. McInnes, Barry Smith
- 2012 11th International Symposium on Parallel andâ€¦
- 2012

The Portable, Extensible Toolkit for Scientific computing (PETSc), which focuses on the scalable solution of problems based on partial differential equations, now incorporates new components thatâ€¦ (More)

We present PetClaw, a scalable distributed-memory solver for time-dependent nonlinear wave propagation. PetClaw unifies two well-known scientific computing packages, Clawpack and PETSc, using Pythonâ€¦ (More)