Parallel Solution of Partial Differential EquationsSpringer Science & Business Media, 2000 - 297 páginas The papers in this volume are based on lectures given at the IMA workshop on the Parallel Solution of PDE during June 9-13, 1997. The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computer offers the promise of greatly increased performance and the routine calculation of previously intractable problems. This volume contains papers on the development and assessment of new approximation and solution techniques that can take advantage of parallel computers. It will be of interest to applied mathematicians, computer scientists, and engineers concerned with investigating the state of the art and future directions in numerical computing. Topics include domain decomposition methods, parallel multi-grid methods, front tracking methods, sparse matrix techniques, adaptive methods, fictitious domain methods, and novel time and space discretizations. Applications discussed include fluid dynamics, radiative transfer, solid mechanics, and semiconductor simulation. |
Contenido
ITERATIVE SUBSTRUCTURING METHODS FOR SPECTRAL ELEMENT DISCRETIZATIONS OF ELLIPTIC SYSTEMS IN THREE DIMENSIO... | 1 |
PARALLEL LINEAR STATIONARY ITERATIVE METHODS | 31 |
ADAPTIVE FINITE ELEMENT METHODS FOR DOMAIN DECOMPOSITION ON NONMATCHING GRIDS | 57 |
SOLUTION OF MULTIDIMENSIONAL RADIATIVE TRANSFER PROBLEMS ON PARALLEL COMPUTERS | 85 |
A LAGRANGE MULTIPLIERFICTITIOUS DOMAINCOLLOCATION METHOD FOR SOLIDLIQUID FLOWS | 97 |
MULTIDIMENSIONAL PARALLEL SPECTRAL SOLVER FOR NAVIERSTOKES EQUATIONS | 120 |
AN OVERLAPPING SCHWARZ METHOD FOR SPECTRAL ELEMENT SIMULATION OF THREEDIMENSIONAL INCOMPRESSIBLE FLOWS | 156 |
OVERLAPPING AND MULTILEVEL SCHWARZ METHODS FOR VECTOR VALUED ELLIPTIC PROBLEMS IN THREE DIMENSIONS | 178 |
FRONT TRACKING AND OPERATOR SPLITTING FOR NONLINEAR DEGENERATE CONVECTIONDIFFUSION EQUATIONS | 206 |
SCALABLE POISSON AND VLSI BIHARMONIC SOLVERS | 226 |
PROSPECTS FOR CFD ON PETAFLOPS SYSTEMS | 244 |
ADDITIVE SCHWARZ FOR ANISOTROPIC ELLIPTIC PROBLEMS | 276 |
LIST OF PARTICIPANTS | 292 |
Otras ediciones - Ver todas
Parallel Solution of Partial Differential Equations Petter Bjorstad,Mitchell Luskin Vista previa limitada - 2012 |
Parallel Solution of Partial Differential Equations Petter Bjorstad,Mitchell Luskin Sin vista previa disponible - 2012 |
Parallel Solution of Partial Differential Equations Petter Bjorstad,Mitchell Luskin Sin vista previa disponible - 2000 |
Términos y frases comunes
additive Schwarz algorithm analysis Applications approximation AVERBUCH biharmonic bilinear form boundary conditions cell coarse grid coefficients condition number constant defined denote Department of Mathematics discrete Domain Decomposition Methods efficiency elliptic problems error estimator finite element methods finite element spaces flow fluid Fourier functions global implementation incompressible interface iterative methods Jacobi JSOR KARLSEN Lemma linear elasticity Maday Math matrix MDLF mesh multigrid method multilevel Navier-Stokes equations nodal nodes nonlinear number of processors operator optimal relaxation parameter p(MJ parabolic parallel computer particle performance petaflops PETSC Poisson equation preconditioned preconditioner saddle point saddle point problems scalable scalar scheme Schur complement Schwarz methods Section SIAM simulation solution solve solver spectral element spectral element method splitting step Stokes problem subdomains subspace techniques Theorem tion values vector velocity VLSI Vozovoi WIDLUND wire basket preconditioner