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" Mathematical theory of finite and boundary element methods "
Albert H.Schatz, Vidar Thomée, Wolfgang L. Wendland.
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BL
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| Record Number
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723740
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b543455
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| Main Entry
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Albert H.Schatz, Vidar Thomée, Wolfgang L. Wendland.
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| Title & Author
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Mathematical theory of finite and boundary element methods\ Albert H.Schatz, Vidar Thomée, Wolfgang L. Wendland.
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| Publication Statement
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Basel ; Boston ; Berlin: Birkhäuser, 1990
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| Series Statement
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DMV seminar, Bd. 15.
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276 str. ; 24 cm.
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| ISBN
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376432211X
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: 9783764322113
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| Contents
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I: An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems.- O. Introduction.- 1. Some function spaces, notation and preliminaries.- 2. Some finite element spaces and their properties.- 3. Orthogonal projections onto finite element spaces in L2, in H1 and H01.- 4. Galerkin finite element method for second order elliptic boundary value problems. Basic Hl and L2 estimates.- 5. Indefinite second order elliptic problems.- 6. Local error estimates.- 7. An introduction to grid refinement. An application to boundary value problems with non-convex corners.- 8. Maximum norm estimates for the L2 projection. A method using weighted norms.- 9. Maximum norm estimates for the Galerkin finite element method for second order elliptic problems.- References.- II: The Finite Element Method for Parabolic Problems.- 1. Introduction.- 2. Non-smooth data error estimates for the semidiscrete problem.- 3. Completely discrete schemes.- 4. A nonlinear problem.- References.- III: Boundary Element Methods for Elliptic Problems.- 1 Boundary Integral Equations.- 1.1 The exterior Neumann problem for the Laplacian.- 1.2 Exterior viscous flow problems.- 1.3 Scattering problems in acoustics.- 1.4 Some problems of elastostatics.- 1.5 The boundary integral equations of the direct approach for general elliptic boundary value problems of even order.- 2 The Characterization of Boundary Integral Operators and Galerkin Boundary Element Methods.- 2.1 The representation and the order of boundary integral operators.- 2.2 Variational formulation and strong ellipticity.- 2.3 Boundary element Galerkin methods.- 3 Collocation Methods.- 3.1 Collocation with smoothest splines of piecewise odd polynomials.- 3.2 Naive spline collocation for n = 2 on almost uniform partitions.- 4 Concluding Remarks.
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| Subject
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finite element method -- elliptic boundary value problems -- parabolic problems -- boundary value problems -- collocation -- boundary integral operator
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| LC Classification
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QA377.A434 1990
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| Added Entry
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Albert H Schatz
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Vidar Thomée
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Wolfgang L Wendland
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