Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

作者： Tarek Poonithara Abraham Mathew

DOI:

关键词: Numerical partial differential equations 、 Iterative method 、 Variational inequality 、 Lagrange multiplier 、 Schur complement 、 Mathematical analysis 、 FETI 、 Domain decomposition methods 、 Mathematics 、 Parabolic partial differential equation

摘要: Decomposition Frameworks.- Schwarz Iterative Algorithms.- Schur Complement and Substructuring Lagrange Multiplier Based Substructuring: FETI Method.- Computational Issues Parallelization.- Least Squares-Control Theory: Multilevel Local Grid Refinement Methods.- Non-Self Adjoint Elliptic Equations: Parabolic Equations.- Saddle Point Problems.- Non-Matching Discretizations.- Heterogeneous Domain Fictitious Imbedding Variational Inequalities Obstacle Maximum Norm Theory.- Eigenvalue Optimization Helmholtz Scattering Problem.