An accessible introduction to the finite element method for solving
numeric problems, this volume offers the keys to an important
technique in computational mathematics. Suitable for advanced
undergraduate and graduate courses, it outlines clear connections
with applications and considers numerous examples from a variety of
science- and engineering-related specialties.This text encompasses
all varieties of the basic linear partial differential equations,
including elliptic, parabolic and hyperbolic problems, as well as
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 control. The relevant mathematics
are expressed in non-technical terms whenever possible, in the
interests of keeping the treatment accessible to a majority of
students.
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