Accession Number : ADA110966


Title :   Lectures on the Numerical Solution of Partial Differential Equations.


Descriptive Note : Lecture notes no. 20,


Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS


Personal Author(s) : Babuska,I ; Liu,T -P ; Osborn,J


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a110966.pdf


Report Date : Dec 1981


Pagination or Media Count : 604


Abstract : Contents: Adapting Courant-Friedrichs-Levy to the 1980's; Parametrization Methods for Approximation of Solutions of Elliptic Boundary Value Problems; Two Mixed Finite Element Methods for the Simply Supported Plat Problem; Approximation of Non-linear Problems; Two-dimensional Approximations of Three-dimensional Models in Nonlinear Plate Theory; Changing Meshes in Time-dependent Problems; Alternating-direction Galerkin Methods for Parabolic Hyperbolic and Sobolev Partial Differential Equations; Galerkin Methods for Miscible Displacement Problems with Point Sources and Sinks-Unit Mobility Ratio Case; Overtaking of Shock Waves in Steady Two-dimensional Supersonic Flows; Homogenization, Convex Analysis, and the Geometry Optimization of Engineering Structures; Stability and Error Bounds for a Fractional Step Scheme to Compute Weak Solutions of the Nonlinear Waterhammer Problem; Schauder Estimates for Finite Element Approximations of Second Order Elliptic Boundary Value Problems; Analysis of Some Contact Problems in Nonlinear Elasticity; Single Step Methods for Linear Differential Equations in Banach Spaces; The Quasi-optimality in the Maximum Norm of the H1 Projection into Piecewise Linear Functions in the Plane: a Complete Proof (Second lecture); A Brief Survey of Parabolic Smoothing and How It Affects a Numerical Solution: Finite Differences and Finite Elements (Third lecture); Integral Equation Methods for Mixed Boundary Value Problems (Second lecture).


Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS , *NUMERICAL METHODS AND PROCEDURES , PARAMETRIC ANALYSIS , FINITE ELEMENT ANALYSIS , ELASTIC PROPERTIES , PROBLEM SOLVING , FINITE DIFFERENCE THEORY , PLATES , BOUNDARY VALUE PROBLEMS , CONVERGENCE , INTEGRAL EQUATIONS , ASYMPTOTIC NORMALITY , FLUID FLOW , LECTURES , BANACH SPACE


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE