Bangerth W., Rannacher R. Adaptive Finite Element Methods for Differential Equations

Birkhauser Boston, 2003. — 207 p.Text compiled from the material presented by the second author in a lecture series at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self-adaptivity' in the numerical solution of differential equations are discussed, with emphasis on Galerkin finite element models.
Most graduate students in engineering and physical sciences should be able to handle the material without excessive difficulty. The presentation is very much a tutorial approach promoting a hands-on experience, reinforced with practical exercises at the end of each chapter, aimed towards practitioners. The present book provides a gentler introduction for the beginning graduate student or nonspecialist practitioner.