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This reference/text focuses on classical approximate solution techniques such as the finite difference method, the method of weighted residuals, and variation methods, culminating in an introduction to the finite element method (FEM)-discussing the general notion of approximate solutions and associated errors.
With 1500 equations and more than 750 references, drawings, and tables, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods describes the approximate solution of ordinary and partial differential equations using the finite difference method....covers the method of weighted residuals....considers variational methods.......highlights all aspects associated with the formulation of finite element equations......outlines meshing of the solution domain, modal specifications, solution of global equations, solution refinement, and assessment of results.....focuses on interpolation functions for one-, two-, and three-dimensional elements....analyzes element mapping....examines scalar field problems.....spotlights application of the FEM to elastostatic problems.....details meshing schemes and guidelines for developing correct mathematical models.....showcases general programming aspects associated with the FEM...and more.
