Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics)
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to the most important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers a large number of examples from various science- and engineering-related specialties.This text encompasses all kinds of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, in addition to stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step keep an eye on. The relevant mathematics are expressed in non-technical terms every time imaginable, within the interests of keeping the remedy accessible to a majority of students.