Algebraic Multigrid Methods for Large Scale Finite Element Equations

[1]  Gundolf Haase,et al.  Parallel multigrid 3D Maxwell solvers , 2001, Parallel Comput..

[2]  P. M. De Zeeuw,et al.  Matrix-dependent prolongations and restrictions in a blackbox multigrid solver , 1990 .

[3]  Manfred Kaltenbacher,et al.  3D simulation of controlled micromachined capacitive ultrasound transducers , 1999, 1999 IEEE Ultrasonics Symposium. Proceedings. International Symposium (Cat. No.99CH37027).

[4]  A. Brandt Algebraic multigrid theory: The symmetric case , 1986 .

[5]  J. Mandel,et al.  Energy optimization of algebraic multigrid bases , 1999 .

[6]  Gundolf Haase,et al.  Preprocessing for 2D FE–BE domain decomposition methods , 1999 .

[7]  Manfred Kaltenbacher,et al.  A Finite-Element / Boundary-Element Method for the Simulation of Coupled Electrostatic-Mechanical Systems , 1997 .

[8]  Pranay Chaudhuri,et al.  An $O(n^2)$ Self-Stabilizing Algorithm for Computing Bridge-Connected Components , 1999, Computing.

[9]  Michael Jung,et al.  On the parallelization of multi-grid methods using a non-overlapping domain decomposition data structure , 1997 .

[11]  Panayot S. Vassilevski,et al.  Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG , 2001, SIAM J. Sci. Comput..

[12]  S. F. McCormick An Algebraic Interpretation of Multigrid Methods , 1982 .

[13]  Tony F. Chan,et al.  An Energy-minimizing Interpolation for Robust Multigrid Methods , 1999, SIAM J. Sci. Comput..

[14]  G. Meurant Computer Solution of Large Linear Systems , 1999 .

[15]  K. Schittkowski The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function , 1982 .

[16]  P. Deuflhard,et al.  Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations , 1997 .

[17]  E. Kreyszig Introductory Functional Analysis With Applications , 1978 .

[18]  Arnulf Kost,et al.  Numerische Methoden in der Berechnung elektromagnetischer Felder , 1994 .

[19]  Jim E. Jones,et al.  AMGE Based on Element Agglomeration , 2001, SIAM J. Sci. Comput..

[20]  Gundolf Haase Parallel Incomplete Cholesky Preconditioners Based on the Non-Overlapping Data Distribution , 1998, Parallel Comput..

[21]  Thomas A. Manteuffel,et al.  Algebraic Multigrid Based on Element Interpolation (AMGe) , 2000, SIAM J. Sci. Comput..

[22]  Klaus Stüben,et al.  Parallel algebraic multigrid based on subdomain blocking , 2001, Parallel Comput..

[23]  R. Hiptmair Multigrid Method for Maxwell's Equations , 1998 .

[24]  Michael Griebel,et al.  Algebraic multigrid methods for the solution of the Navier–Stokes equations in complicated geometries , 1998 .

[25]  Joachim Schöberl,et al.  Algebraic multigrid methods based on element preconditioning , 2001, Int. J. Comput. Math..

[26]  Manfred Kaltenbacher,et al.  Algebraic Multigrid for Solving Electromechanical Problems , 2000 .