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A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
Existence and concentration of solutions for a class of biharmonic equations
Existence and concentration of solutions biharmonic equations
2010/11/22
Some superlinear fourth order elliptic equations are considered. Ground states are proved to exist and to concentrate at a point in the limit. The proof relies on variational methods, where the existe...
A gradient recovery-based a posteriori error estimators for the Ciarlet - Raviart formulation of the second biharmonic equations
the second biharmonic problem weighted Cle′ment -type interpolation
2010/9/15
This paper proposes a posteriori error estimators of gradient recovery type for the Ciarlet-Raviart formulation of the second biharmonic equations. By the appropriate modification of weighted Cle men′...
EXISTENCE OF NONTRIVIAL SOLUTIONS FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS
Nontrivial solution biharmonic equation
2007/12/17
4) is the critical sobolev exponent. This result is a extension of [1].
EXISTENCE OF MULTIPLE SOLUTIONS AND BIFURCATION FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS
Biharmonic equation critical exponent mu
2007/8/7
We inverstigate in this paper the existence problem for a critical semilinear biharmonic problem defined on a bounded domain.It is verified that the Palais-Smale condition holds true in certain interv...
A HIGH ACCURACY ANALYSIS OF THE MIXED FINITE ELEMENT METHOD FOR BIHARMONIC EQUATIONS
Biharmonic equation mixed finite element
2007/8/7
In this paper, the linear mixed finite element method is considered for the biharmonic Dirichlet boundary value problem. Almost optimal error estimates, superconvergence estimates and the derivative e...