Infinite Element Methods

Contents: Chapter I: Two dimensional exterior problems of the Laplace equation - Fourier methods - Iterative methods - General elements - Three dimensional exterior problems of the Laplace equation - Problems on other unbounded domains - Corner problems - Nonhomogeneous equations and nonhomogeneous boundary conditions - Plane elasticity problems - Calculation of stress intensity factors - Exterior Stokes problems - Non-similar problems - Chapter II: Foundations of Algorithm - Infinite element spaces - Shift matrices - Further discussion for the infinite element spaces and the shift matrices - Shift matrices for the plane elasticity problems - Combined stiffness matrices - Structure of general solutions - Block circular stiffness matrices - Iterative method of the first type - Iterative method of the second type - General elliptic systems - Exterior Stokes problems - Nonhomogeneous equations and the Helmholtz equation - Chapter III: Some auxiliary inequalities - Approximate properties of piecewise polynomials - H1 and L2 convergence - Maximum priniciple and uniform convergence - A superconvergence estimate - Term by term convergence near the corner - Chapter IV: Boundary value problems and Eigenvalue problems - Stress intensity factors - Stokes external flow - Navier-Stokes external flow.