000			01813nam a22002537a 4500
003			IIITD
005			20240504101126.0
008			240412b |||||||| |||| 00| 0 eng d
020			_a9783030563400
040			_aIIITD
082			_a515.353 _bERN-F
100			_aErn, Alexandre
245			_aFinite elements I : _bapproximation and interpolation _cby Alexandre Ern and Jean-Luc Guermond.
260			_aSwitzerland : _bSpringer, _c©2021
300			_axii, 325 p. : _bill. ; _c24 cm.
490			_aTexts in Applied Mathematics ; Volume 75
504			_aIncludes bibliographical references and index.
505			_tPart I: Elements of Functional Analysis. Lebesgue spaces ; Weak derivatives and Sobolev spaces ; Traces and Poincare Inequalities ; Duality in Sobolev spaces _tPart II: Introduction to Finite Elements. Main ideas and definitions ; One-dimensional finite elements and tensorization ; Simplicial finite elements _tPart III: Finite element interpolation. Meshes ; Finite element generation ; Mesh orientation ; Local interpolation on affine meshes ; Local inverse and functional inequalities ; Local interpolation on non-affine meshes ; H(div) finite elements ; H(curl) finite elements ; Local interpolation in H(div) and H(curl) (I) ; Local interpolation in H(div) and H(curl) (II) _tPart IV: Finite element spaces. From broken to conforming spaces ; Main properties of the conforming spaces ; Face gluing ; Construction of the connectivity classes ; Quasi-interpolation and best approximation ; Commuting quasi-interpolation Appendices. Banach and Hillbert spaces ; Differential calculus.
650			_aFinite element method.
650			_aDifferential equations, Partial -- Numerical solutions.
650			_aFinite element method.
700			_aGuermond, Jean-Luc
942			_2ddc _cBK
999			_c172463 _d172463