Searching for authors named "George Biros" – sorted by Relevance.

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21 documents found, showing 1 through 10. Next 10 →

Parallel Newton-Krylov Methods For PDE-Constrained Optimization
by George Biros, Omar GHATTAS — 1999 — In Proceedings of Supercomputing ’99
…. Large scale optimization of systems governed by partial differential equations (PDEs) is a frontier problem in scientific computation. The state-of-the-art for solving such problems is reduced-space quasi-Newton sequential quadratic programming (SQP) methods. These take full advantage of existing …
Cited by 3 (0 self) – Add To MetaCart

Inexactness issues in the Lagrange-Newton-Krylov-Schur method for PDE-constrained optimization
by George Biros, Omar Ghattas — Large-Scale PDE-Constrained Optimization, number 30 in Lecture
…Abstract. In this article we present an outline of the Lagrange-Newton-Krylov-Schur (LNKS) method and we discuss how we can improve its work efficiency by carrying out certain computations inexactly, without compromising convergence. LNKS has been designed for PDEconstrained optimization problems. I…
Cited by 2 (0 self) – Add To MetaCart

Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. Part I: The Krylov-Schur solver
by George Biros, Omar Ghattas — 2000 — SIAM J. Sci. Comput
…Abstract. Large scale optimization of systems governed by partial differential equations (PDEs) is a frontier problem in scientific computation. The state-of-the-art for such problems is reduced quasi-Newton sequential quadratic programming (SQP) methods. These methods take full advantage of existin…
Cited by 41 (8 self) – Add To MetaCart

A HIGH-ORDER SOLVER FOR THE HEAT EQUATION IN 1D DOMAINS WITH MOVING BOUNDARIES ∗
by Shravan K. Veerapaneni, George Biros
…Abstract. We describe a fast high-order accurate method for the solution of the heat equation in domains with moving Dirichlet or Neumann boundaries and distributed forces. We assume that the motion of the boundary is prescribed. Our method extends the work of L. Greengard and J. Strain, “A fast alg…
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The Chebyshev Fast Gauss and Nonuniform Fast Fourier Transforms and their application to the evaluation of distributed heat potentials
by Shravan K. Veerapaneni, George Biros — 2007
…We present a method for the fast and accurate computation of distributed (or volume) heat potentials in two dimensions. The distributed source is assumed to be given in terms of piecewise space-time Chebyshev polynomials. We discretize uniformly in time, whereas in space the polynomials are defined …
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A fast solver for the Stokes equations with distributed forces in complex geometries
by George Biros, Lexing Ying, Denis Zorin — J. Comput. Phys
…We present a new method for the solution of the Stokes equations. The main features of our method are: (1) it can be applied to arbitrary geometries in a black-box fashion; (2) it is second order accurate; and (3) it has optimal algorithmic complexity. Our approach, to which we refer as the Embedded…
Cited by 6 (4 self) – Add To MetaCart

A kernel-independent fast multipole algorithm
by Lexing Ying, George Biros, Denis Zorin — 2003 — Journal of Computational Physics
…We present a new fast multipole method for particle simulations. The main feature of our algorithm is that is kernel independent, in the sense that no analytic expansions are used to represent the far field. Instead we use equivalent densities, which we compute by solving small Dirichlet-type bounda…
Cited by 2 (2 self) – Add To MetaCart

Multigrid algorithms for inverse problems with linear parabolic PDE constraints. submitted
by Santi S. Adavani, George Biros — 2007 — In review
…Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equations. We consider problems in which the inversion variable is a function of space only; for stability we use an L 2 Tik…
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A New Parallel Kernel-Independent Fast Multipole Method
by Lexing Ying, George Biros, Denis Zorin, Harper Langston — in SC2003
…We present a new adaptive fast multipole algorithm and its parallel implementation. The algorithm is kernel-independent in the sense that the evaluation of pairwise interactions does not rely on any analytic expansions, but only utilizes kernel evaluations. The new method provides the enabling techn…
Cited by 4 (3 self) – Add To MetaCart

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