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• catalog abstract ""The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences and, therefore, reliability questions stand more and more at the forefront of engineering and theoretical interests." "The Finite Element Method and its Reliability presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference."--Jacket.".
• catalog contributor b12895383.
• catalog contributor b12895384.
• catalog created "2001.".
• catalog date "2001".
• catalog date "2001.".
• catalog dateCopyrighted "2001.".
• catalog description ""The Finite Element Method and its Reliability presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference."--Jacket.".
• catalog description ""The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences and, therefore, reliability questions stand more and more at the forefront of engineering and theoretical interests."".
• catalog description "A brief history of the finite element method -- On computational engineering -- Mathematical formulation of the model problem -- The one-dimensional model problem -- The two-dimensional model problem -- The variational formulation of the model problem -- The variational formulation of the model problem in two dimensions -- Smoothness of the solution of the model problem -- Smoothness of the solution of the two-dimensional model problem -- Historical and bibliographical remarks -- The finite element method -- The Galerkin method and the properties of the approximate solution -- The Galerkin method in two dimensions -- The finite element method -- The finite element method in two dimensions -- The finite element interpolation and approximation error -- The finite element interpolation and approximation error in two dimensions -- The finite element interpolation and approximation: a special case -- The interpolation error for the function r[superscript [alpha open phi]([theta]) in two dimensions -- The description of the mesh and analyses of its optimality -- The description of the mesh and analysis of its optimality in two dimensions -- Historical and bibliographical comments -- Local behavior in the finite element method -- A-priori estimates for the nodal errors and the maximum error -- A-priori estimates for the nodal errors and the maximum error in two dimensions -- A-priori estimates for negative norms of the error -- A-priori estimates for negative norms of the error in two dimensions.".
• catalog description "Includes bibliographical references and indexes.".
• catalog extent "xi, 802 p. :".
• catalog identifier "0198502761".
• catalog isPartOf "Numerical mathematics and scientific computation".
• catalog issued "2001".
• catalog issued "2001.".
• catalog language "eng".
• catalog publisher "Oxford, [England] : Clarendon Press ; New York : Oxford University Press,".
• catalog subject "620/.001/51535 21".
• catalog subject "Finite element method.".
• catalog subject "Reliability (Engineering)".
• catalog subject "TA347.F5 B33 2001".
• catalog tableOfContents "A brief history of the finite element method -- On computational engineering -- Mathematical formulation of the model problem -- The one-dimensional model problem -- The two-dimensional model problem -- The variational formulation of the model problem -- The variational formulation of the model problem in two dimensions -- Smoothness of the solution of the model problem -- Smoothness of the solution of the two-dimensional model problem -- Historical and bibliographical remarks -- The finite element method -- The Galerkin method and the properties of the approximate solution -- The Galerkin method in two dimensions -- The finite element method -- The finite element method in two dimensions -- The finite element interpolation and approximation error -- The finite element interpolation and approximation error in two dimensions -- The finite element interpolation and approximation: a special case -- The interpolation error for the function r[superscript [alpha open phi]([theta]) in two dimensions -- The description of the mesh and analyses of its optimality -- The description of the mesh and analysis of its optimality in two dimensions -- Historical and bibliographical comments -- Local behavior in the finite element method -- A-priori estimates for the nodal errors and the maximum error -- A-priori estimates for the nodal errors and the maximum error in two dimensions -- A-priori estimates for negative norms of the error -- A-priori estimates for negative norms of the error in two dimensions.".
• catalog title "The finite element method and its reliability / Ivo Babuška and Theofanis Strouboulis.".
• catalog type "text".