by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English
|The Physical Object|
Substructuring Methods For Parabolic Problems. By Maksymilian Dryja. Abstract. Domain decomposition methods without overlapping for the approximation of parabolic problems are considered. Two kinds of methods are discussed. In the first method systems of algebraic equations resulting from the approximation on each time level are solved Author: Maksymilian Dryja. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We study substructuring preconditioners for the linear system aris-ing from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence we build an effi-cient edge block preconditioner and we prove a polylogarithmic bound for the condition. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid. This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method.
Abstract. We present and analyze waveform relaxation variants of the Dirichlet-Neumann and Neumann-Neumann methods for parabolic problems. These methods are based on a non-overlapping spatial domain decomposition, and each iteration involves subdomain solves with Dirichlet boundary conditions followed by subdomain solves with Neumann boundary conditions. () A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Journal of Computational Physics , () New formulation of iterative substructuring methods without Lagrange multipliers: Neumann–Neumann and FETI. An illustration of an open book. Books. An illustration of two cells of a film strip. Video An illustration of an audio speaker. Full text of "Iterative substructuring methods: algorithms and theory for elliptic problems in the plane" See other formats. Parabola problems with answers and detailed solutions, at the bottom of the page, are presented.. Questions and Problems. Find the x and y intercepts, the vertex and the axis of symmetry of the parabola with equation y = - x 2 + 2 x + 3?; What are the points of intersection of the line with equation 2x + 3y = 7 and the parabola with equation y = - 2 x 2 + 2 x + 5?Missing: Substructuring.
Substructuring Waveform Relaxation Methods for Parabolic Optimal Control Problems. Soft Computing for Problem Solving, () Massively Parallel Implementation of FETI-2LM Methods for the Simulation of the Sparse Receiving Array Evolution of the GRAVES Radar System for Space Surveillance and Tracking. We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. book is primarily intended for. () Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling. Mathematics and Computers in Simulation , () An alternating explicit–implicit domain decomposition method for the parallel solution of parabolic . This book serves as a matrix oriented introduction to domain decomposition methodology. The topics discussed include hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations, saddle.