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Advanced finite element methods with...

Chemnitz Finite Element Symposium (2017 :)

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Advanced finite element methods with applications = selected papers from the 30th Chemnitz Finite Element Symposium 2017 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advanced finite element methods with applications/ edited by Thomas Apel ... [et al.].
其他題名:	selected papers from the 30th Chemnitz Finite Element Symposium 2017 /
其他作者:	Apel, Thomas.
團體作者:	Chemnitz Finite Element Symposium
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xxii, 428 p. :ill., digital ;24 cm.
內容註:	1 Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem -- 2 Explicit and Implicit Reconstructions of the Potential in Dual Mixed hp-Finite Element Methods -- 3 Two Stabilized Three-Field Formulations for the Biharmonic Problem -- 4 Analysis of the hp-Version of a First Order system least squares method for the Helmholtz equation -- 5 Numerical Study of Goal-Oriented Error Control for Stabilized Finite Element Methods -- 6 Uniform Exponential Stability of Galerkin Approximations for a Damped Wave System -- 7 Adaptive Algorithm Based on Functional-Type A Posteriori Error Estimate for Reissner-Mindlin Plates -- 8 Wavelet Boundary Element Methods -- Adaptivity and Goal-Oriented Error Estimation -- 9 Comparison Analysis of Two Numerical Methods for Fractional Diffusion Problems Based on the Best Rational Approximations of t\gamma on [0;1] -- 10 A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions -- 11 A Parallel Multigrid Solver for Multi-Patch Isogeometric Analysis -- 12 On a Renewed Approach to A Posteriori Error Bounds for Approximate Solutions of Reaction-Diffusion Equations -- 13 Space-Time Finite Element Methods for Parabolic Evolution Problems with Variable Coefficients -- 14 ACA Improvement by Surface Segmentation -- 15 First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis -- 16 A Space-Time Finite Element Method for the Linear Bidomain Equations -- 17 A Stabilized Space-Time Finite Element Method for the Wave Equation -- 18 An Optimal Order CG-DG Space-Time Discretization Method for Parabolic Problems -- 19 A Framework for Efficient Hierarchic Plate and Shell Elements.
Contained By:	Springer eBooks
標題:	Finite element method. -
電子資源:	https://doi.org/10.1007/978-3-030-14244-5
ISBN:	9783030142445

Advanced finite element methods with applications = selected papers from the 30th Chemnitz Finite Element Symposium 2017 /
Advanced finite element methods with applicationsselected papers from the 30th Chemnitz Finite Element Symposium 2017 /[electronic resource] :edited by Thomas Apel ... [et al.]. - Cham :Springer International Publishing :2019. - xxii, 428 p. :ill., digital ;24 cm. - Lecture notes in computational science and engineering,1281439-7358 ;. - Lecture notes in computational science and engineering ;128..

1 Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem -- 2 Explicit and Implicit Reconstructions of the Potential in Dual Mixed hp-Finite Element Methods -- 3 Two Stabilized Three-Field Formulations for the Biharmonic Problem -- 4 Analysis of the hp-Version of a First Order system least squares method for the Helmholtz equation -- 5 Numerical Study of Goal-Oriented Error Control for Stabilized Finite Element Methods -- 6 Uniform Exponential Stability of Galerkin Approximations for a Damped Wave System -- 7 Adaptive Algorithm Based on Functional-Type A Posteriori Error Estimate for Reissner-Mindlin Plates -- 8 Wavelet Boundary Element Methods -- Adaptivity and Goal-Oriented Error Estimation -- 9 Comparison Analysis of Two Numerical Methods for Fractional Diffusion Problems Based on the Best Rational Approximations of t\gamma on [0;1] -- 10 A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions -- 11 A Parallel Multigrid Solver for Multi-Patch Isogeometric Analysis -- 12 On a Renewed Approach to A Posteriori Error Bounds for Approximate Solutions of Reaction-Diffusion Equations -- 13 Space-Time Finite Element Methods for Parabolic Evolution Problems with Variable Coefficients -- 14 ACA Improvement by Surface Segmentation -- 15 First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis -- 16 A Space-Time Finite Element Method for the Linear Bidomain Equations -- 17 A Stabilized Space-Time Finite Element Method for the Wave Equation -- 18 An Optimal Order CG-DG Space-Time Discretization Method for Parabolic Problems -- 19 A Framework for Efficient Hierarchic Plate and Shell Elements.

Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

ISBN: 9783030142445

Standard No.: 10.1007/978-3-030-14244-5doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: TL521 / .C44 2019

Dewey Class. No.: 629.108

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520 $a Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.
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