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Mixed Finite Elements, Compatibility Conditions, and Applications

2008-04-14 Mathematics
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Release : 2008-04-14
Genre : Mathematics
Kind : eBook
Book Rating : 148/5 ( reviews)

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Book Synopsis Mixed Finite Elements, Compatibility Conditions, and Applications by : Daniele Boffi

Download or read book Mixed Finite Elements, Compatibility Conditions, and Applications written by Daniele Boffi. This book was released on 2008-04-14. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.

Mixed Finite Elements, Compatibility Conditions, and Applications

2009-09-03 Mathematics
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Release : 2009-09-03
Genre : Mathematics
Kind : eBook
Book Rating : 632/5 ( reviews)

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Book Synopsis Mixed Finite Elements, Compatibility Conditions, and Applications by : Daniele Boffi

Download or read book Mixed Finite Elements, Compatibility Conditions, and Applications written by Daniele Boffi. This book was released on 2009-09-03. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.

Mixed Finite Elements, Compatibility Conditions, and Applications

2008 Differential equations, Partial
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Release : 2008
Genre : Differential equations, Partial
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Mixed Finite Elements, Compatibility Conditions, and Applications by : Franco Brezzi

Download or read book Mixed Finite Elements, Compatibility Conditions, and Applications written by Franco Brezzi. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.

Mixed Finite Element Methods and Applications

2013-07-02 Mathematics
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Release : 2013-07-02
Genre : Mathematics
Kind : eBook
Book Rating : 191/5 ( reviews)

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Book Synopsis Mixed Finite Element Methods and Applications by : Daniele Boffi

Download or read book Mixed Finite Element Methods and Applications written by Daniele Boffi. This book was released on 2013-07-02. Available in PDF, EPUB and Kindle. Book excerpt: Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.

A Simple Introduction to the Mixed Finite Element Method

2014-01-09 Mathematics
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Release : 2014-01-09
Genre : Mathematics
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis A Simple Introduction to the Mixed Finite Element Method by : Gabriel N. Gatica

Download or read book A Simple Introduction to the Mixed Finite Element Method written by Gabriel N. Gatica. This book was released on 2014-01-09. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.

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