An introduction to analysis, adaptivity and multigrid for variational inequalities

Variational inequalities provide the mathematical framework for a variety of nonlinear and non-smooth phenomena in science and engineering. Efficient and reliable solution procedures are closely linked to the mathematics of function spaces and partial differential equations. The main subjects of this book are a posteriori error analysis and convergence of adaptive finite element methods, the treatment of multigrid methods and multilevel methods with solution-dependent multilevel bases. The discussion is centered around some model obstacle and contact problems and based upon introductory section son the mathematics of variational inequalities and on finite element discretisation including short MATLAB programs First textbook which treats certain recent developments in the solution of variational inequalities, like a posteriori error analysis, adaptive discretisations including convergence analysis, and fast algebraic solvers Combines all important aspects (analysis, discretisation, multigrid) into an exposition on the graduate or even undergraduate level, assuming some basic knowledge on partial differential equations and finite elements INDICE: 1.Variational Inequalities: An Introduction.- 2. Finite Element Discretisation of Variational Inequalities.- 3. Multigrid Methods for Variational Inequalities and Contact Problems in Linear Elasticity.

• ISBN: 978-3-0346-0068-2
• Editorial: Birkhaüser
• Encuadernacion: Rústica
• Páginas: 180
• Fecha Publicación: 01/11/2009
• Nº Volúmenes: 1
• Idioma: Inglés