Finite Element Methods Of The Least Squares Type For Regions With Corners


Finite Element Methods Of The Least Squares Type For Regions With Corners
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Finite Element Methods Of The Least Squares Type For Regions With Corners


Finite Element Methods Of The Least Squares Type For Regions With Corners
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Author : George J. Fix
language : en
Publisher:
Release Date : 1981

Finite Element Methods Of The Least Squares Type For Regions With Corners written by George J. Fix and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Finite element method categories.


"This paper treats problems with corner singularities. It is shown that if appropriate weights are used in the least squares formulation, then optimal error estimates can be derived in unweighted L2 norms" -- abstract.



Least Squares Finite Element Methods


Least Squares Finite Element Methods
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Author : Pavel B. Bochev
language : en
Publisher: Springer
Release Date : 2010-11-16

Least Squares Finite Element Methods written by Pavel B. Bochev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-16 with Mathematics categories.


Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.



On The Accuracy Of Least Squares Methods In The Presence Of Corner Singularities


On The Accuracy Of Least Squares Methods In The Presence Of Corner Singularities
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Author : C. L. Cox
language : en
Publisher:
Release Date : 1985

On The Accuracy Of Least Squares Methods In The Presence Of Corner Singularities written by C. L. Cox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.




On The Accuracy Of Least Squares Methods In The Presence Of Corner Singularities


On The Accuracy Of Least Squares Methods In The Presence Of Corner Singularities
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Author : C. L. Cox
language : en
Publisher:
Release Date : 1985

On The Accuracy Of Least Squares Methods In The Presence Of Corner Singularities written by C. L. Cox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.




The Least Squares Finite Element Method


The Least Squares Finite Element Method
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Author : Bo-nan Jiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

The Least Squares Finite Element Method written by Bo-nan Jiang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.


This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.



The Finite Element Method For Boundary Value Problems


The Finite Element Method For Boundary Value Problems
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2016-11-17

The Finite Element Method For Boundary Value Problems written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Science categories.


Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.



Elliptic Problem Solvers


Elliptic Problem Solvers
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Author : Garrett Birkhoff
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Elliptic Problem Solvers written by Garrett Birkhoff and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Elliptic Problem Solvers, II covers the proceedings of the Elliptic Problem Solvers Conference, held at the Naval Postgraduate School in Monterey, California from January 10 to 12, 1983. The book focuses on various aspects of the numerical solution of elliptic boundary value problems. The selection first offers information on building elliptic problem solvers with ELLPACK; presentation and evolution of the club module; and a fourth order accurate fast direct method for the Helmholtz equation. The text then examines the ITPACK project, CMMPAK, solving elliptic problems on an array processor system, and parallel architectures for iterative methods on adaptive, block structured grids. Topics include adaptive solution algorithm, data structure, elliptic problem solvers, input data, and vector ITPACK. The publication ponders on conjugate gradient preconditioners for vector and parallel processors; an algebra for systolic computation; and an incomplete-Cholesky factorization by a matrix partition algorithm. The book also tackles the numerical solution of a model equation near the onset of the Rayleigh-Benard instability; numerical methods for solving coupled semiconductor equations on a minicomputer; and analysis of nonlinear elliptic systems arising in reaction/diffusion modeling. The selection is highly recommended for researchers interested in elliptic problem solvers.



Siam Journal On Scientific Computing


Siam Journal On Scientific Computing
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Author :
language : en
Publisher:
Release Date : 1999

Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematical statistics categories.




Analysis And Thermomechanics


Analysis And Thermomechanics
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Author : Bernard D. Coleman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analysis And Thermomechanics written by Bernard D. Coleman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."



Least Squares Finite Element Simulation Of Transonic Flows


Least Squares Finite Element Simulation Of Transonic Flows
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Author : T. F. Chen
language : en
Publisher:
Release Date : 1986

Least Squares Finite Element Simulation Of Transonic Flows written by T. F. Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.