Addresses computational methods that have proven efficient for the
solution of a large variety of nonlinear elliptic problems. These
methods can be applied to many problems in science and engineering,
but this book focuses on their application to problems in continuum
mechanics and physics. This book differs from others on the topic
by:* Presenting examples of the power and versatility of
operator-splitting methods.* Providing a detailed introduction to
alternating direction methods of multipliers and their
applicability to the solution of nonlinear (possibly non-smooth)
problems from science and engineering.* Showing that nonlinear
least-squares methods, combined with operator-splitting and
conjugate gradient algorithms, provide efficient tools for the
solution of highly nonlinear problems.
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