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Thursday, August 6, 2020 | History

3 edition of Mixed finite element methods for quasilinear second order elliptic problems found in the catalog.

Mixed finite element methods for quasilinear second order elliptic problems

F. A. Milner

Mixed finite element methods for quasilinear second order elliptic problems

by F. A. Milner

  • 304 Want to read
  • 37 Currently reading

Published .
Written in English


Edition Notes

Statementby Fabio Augusto Milner.
Classifications
LC ClassificationsMicrofilm 83/254 (Q)
The Physical Object
FormatMicroform
Paginationiii, 54 p.
Number of Pages54
ID Numbers
Open LibraryOL2796525M
LC Control Number83225843

In this article we construct and analyze a mixed finite volume method for second‐order nonlinear elliptic problems employing H(div; Ω)‐conforming approximations for the vector variable and completely discontinuous approximations for the scalar variable. A weak Galerkin mixed finite element method for second-order elliptic problems. Math Comp, , Google Scholar [5] Wang J, Ye X. A weak Galerkin finite element method for .

Conforming finite element methods for second order problems; Chapter 4. Other finite element methods for second-order problems; Chapter 5. Application of the finite element method to some nonlinear problems; Chapter 6. Finite element methods for the plate problem; Chapter 7. A mixed finite element method. Series Title. The Finite Element Method for Elliptic Problems is the only book available that fully analyzes the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, and also a working textbook for graduate courses in numerical analysis. It includes many useful figures, as well as.

A finite element method for growth in biological development. Mathematical Biosciences & Engineering, , 4 (2): doi: /mbe [10] Yueqiang Shang, Qihui Zhang. A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations. On mixed finite element methods for elliptic equations 63 elements and piecewise quadratic elements that ffh goes to zero like h*. It seems likely that this is true for all commonly used finite element subspaces regardless of the dimension, but we have been unable to give a rigorous proof of this.


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Mixed finite element methods for quasilinear second order elliptic problems by F. A. Milner Download PDF EPUB FB2

Finite Element Method Complementary Energy Mixed Finite Element Method Order Elliptic Equation Regular Family These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm by: For the second lowest order Raviart–Thomas mixed method, we prove that the canonical interpolant and finite element solution for the vector variable in elliptic problems are superclose in the H.

Salim Meddahi, On a mixed finite element formulation of a second‐order quasilinear problem in the plane, Numerical Methods for Partial Differential Equations, /num, 20, 1, (), ().Cited by: 9.

Book chapter Full text access Chapter 4 - Other Finite Element Methods For Second-Order Problems Pages Download PDF. MIXED FINITE ELEMENT METHODS FOR ELLIPTIC PROBLEMS* DOUGLAS N. ARNOLDy Abstract. This paper treats the basic ideas of mixed nite element methods at an introductory level. Although the viewpoint presented is that of a mathematician, the paper is aimed at practitioners and the mathematical prerequisites are kept to a Size: KB.

Purchase The Finite Element Method for Elliptic Problems, Volume 4 - 1st Edition. Print Book & E-Book. ISBNMilner F () A primal hybrid finite element method for quasilinear second order elliptic problems, Numerische Mathematik,(), Online publication date: 1-Mar Ruas V () Quasisolenoidal velocity-pressure finite element methods for the three-dimensional Stokes problem, Numerische Mathematik,(), Online.

EXPANDED MIXED FINITE ELEMENT METHODS FOR QUASILINEAR SECOND ORDER ELLIPTIC PROBLEMS, It (*) Zhangxin CHEN Department of Mathematics, BoxSouthern Methodist University, Dallas, TexasUSA E-mail address [email protected] math smu edu Abstract Anew mixed formulation recently proposedfor hnear problems is extended to quasihnear second.

Mixed nite element approximations for second order elliptic problems, which approximate the source variable and ux simultaneously, have been studied by many authors (cf., e.g., and the book).

The local conservation of velocity ux is an important property in the mixed nite element methods. The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis.

Abstract Mixed finite element methods for strongly nonlinear second order elliptic problems are proposed and analyzed.

Existence and uniqueness of the approximate solution are demonstrated using a fixed point argument. For second- order elliptic problems, the mixed method was described and analyzed by many authors [3, 5, 7, 11] in the case of linear equations in divergence form, as well as in [4, 8, 9] for quasilinear problems in divergence form.

Numer. Math. 47, () Numerische MathemaUk 9 Springer-Verlag Two Families of Mixed Finite Elements for Second Order Elliptic Problems. MIXED FINITE ELEMENT METHOD FOR NONLINEAR SECOND-ORDER ELLIPTIC PROBLEMS: RELAXATION SCHEME MARIAN SLODICKA y Abstract.

We consider a 2nd order nonlinear elliptic boundary value problem (BVP) in a bounded domain ˆ RN, N = 2;3 with a Dirichlet boundary condition. The mixed nite element method in lowest order Raviart-Thomas spaces is used. Babuška, I., Aziz, A.K.: Survey lectures on the mathematical foundations of the finite element method.

In: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (Proceedings of a Symposium Held at the University of Maryland, Baltimore, ), pp. 1– Academic, New York (). A Stable Mixed Finite Element Scheme for the Second Order Elliptic Problems Miaochan Zhao, Hongbo Guan, and Pei Yin Abstract—A stable mixed finite element method (MFEM) for the second order elliptic problems, in which the scheme just satisfies the discrete B:B condition, is.

Some types of finite element methods (conforming, nonconforming, mixed finite element methods) are particular cases of the gradient discretization method (GDM). Hence the convergence properties of the GDM, which are established for a series of problems (linear and non-linear elliptic problems, linear, nonlinear, and degenerate parabolic.

Abstract — The p-version of the finite element method is analyzed for quasilinear second order elhptic problems in mixed weak form Approximation properties of the Raviart-Thomas projection are demonstrated and L 2-error bounds for the three relevant variables in the mixed.

A new mixed formulation recently proposed for linear problems is extended to quasilinear second order elliptic problems.

This new formulation expands the standard mixed formulation in the sense that three variables are explicitly treated, i.e., the scalar unknown, its gradient, and its flux (the coefficients times the gradient).

A new mixed formulation recently proposed for linear problems is extended to quasilinear second-order elliptic problems.

This new formulation expands the standard mixed formulation in the sense that three variables are explicitly treated; i.e., the scalar unknown, its gradient, and its flux (the coefficient times the gradient).

Article Tools. Add to my favorites. Download Citations.Raviart and J.-M. Thomas, A mixed finite element method for 2-nd order elliptic problems, in Galligani I., Magenes E.

(eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, volSpringer, Berlin, Heidelberg.The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method.

The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and.