000			01829 a2200181 4500
005			20251010152041.0
008			251010b |||||||| |||| 00| 0 eng d
020			_a9783319323534
082			_a515.353 _bBarN
100			_aBartels, Soren
245			_aNumerical Approximation of Partial Differential Equations / _c Sören Bartels
260			_bSpringer : _aSwitzerland , _c©2016.
300			_axv,533p.
440			_aText in Applied Mathematics : _vVol.64
520			_aFinite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.
650			_aPartial differential equations
942			_cBK
999			_c6765 _d6765