Numerical Solution of Partial Differential Equations by the Finite Element Method

Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial differential equations. The bulk of the text focuses on linear problems, however a chapter extending the development of non-linear problems is also included, as is one on finite element methods for integral equations. Throughout the text the author has included applications to important problems in mathematics and physics, and has endeavored to keep the mathematics as simple as possible while still presenting significant results.

"It gives exact and, in most cases, exceedingly elegant proofs of the existence and convergence theorems underlying the commonly used algorithms and clearly presents the necessary mathematical background beyond that of a general requirement of elementary linear algebra and advanced calculus." Computing Reviews