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Mixed finite element method

About: Mixed finite element method is a(n) research topic. Over the lifetime, 22284 publication(s) have been published within this topic receiving 614167 citation(s).

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Papers
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Book
Philippe G. Ciarlet, J. T. Oden1Institutions (1)
01 Jan 1978-
Abstract: Preface 1. Elliptic boundary value problems 2. Introduction to the finite element method 3. Conforming finite element methods for second-order problems 4. Other finite element methods for second-order problems 5. Application of the finite element method to some nonlinear problems 6. Finite element methods for the plate problem 7. A mixed finite element method 8. Finite element methods for shells Epilogue Bibliography Glossary of symbols Index.

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8,401 citations


Book
26 Jun 1995-
Abstract: 1. An Introduction to the Use of Finite Element Procedures. 2. Vectors, Matrices and Tensors. 3. Some Basic Concepts of Engineering Analysis and an Introduction to the Finite Element Methods. 4. Formulation of the Finite Element Method -- Linear Analysis in Solid and Structural Mechanics. 5. Formulation and Calculation of Isoparametric Finite Element Matrices. 6. Finite Element Nonlinear Analysis in Solid and Structural Mechanics. 7. Finite Element Analysis of Heat Transfer, Field Problems, and Incompressible Fluid Flows. 8. Solution of Equilibrium Equations in State Analysis. 9. Solution of Equilibrium Equations in Dynamic Analysis. 10. Preliminaries to the Solution of Eigenproblems. 11. Solution Methods for Eigenproblems. 12. Implementation of the Finite Element Method. References. Index.

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7,875 citations


Book
14 Feb 2013-
Abstract: Preface(2nd ed.).- Preface(1st ed.).- Basic Concepts.- Sobolev Spaces.- Variational Formulation of Elliptic Boundary Value Problems.- The Construction of a Finite Element of Space.- Polynomial Approximation Theory in Sobolev Spaces.- n-Dimensional Variational Problems.- Finite Element Multigrid Methods.- Additive Schwarz Preconditioners.- Max-norm Estimates.- Adaptive Meshes.- Variational Crimes.- Applications to Planar Elasticity.- Mixed Methods.- Iterative Techniques for Mixed Methods.- Applications of Operator-Interpolation Theory.- References.- Index.

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6,557 citations


Book
Roger Ghanem1, Pol D. Spanos2Institutions (2)
20 Dec 1990-
Abstract: Representation of stochastic processes stochastic finite element method - response representation stochastic finite element method - response statistics numerical examples.

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5,207 citations


Book
Franco Brezzi1, Michel FortinInstitutions (1)
23 Nov 2011-
TL;DR: Variational Formulations and Finite Element Methods for Elliptic Problems, Incompressible Materials and Flow Problems, and Other Applications.

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Abstract: Variational Formulations and Finite Element Methods. Approximation of Saddle Point Problems. Function Spaces and Finite Element Approximations. Various Examples. Complements on Mixed Methods for Elliptic Problems. Incompressible Materials and Flow Problems. Other Applications.

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4,907 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20223
2021104
2020109
201990
2018209
2017670

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Topic's top 5 most impactful authors

Ivo Babuška

74 papers, 14.4K citations

J. N. Reddy

64 papers, 7.8K citations

Gabriel N. Gatica

62 papers, 1.4K citations

Klaus-Jürgen Bathe

55 papers, 5.2K citations

Carsten Carstensen

53 papers, 1.6K citations