Results 241 to 250 of about 4,650,450 (283)

A New Superconvergence for Mixed Finite Element Approximations

SIAM Journal on Numerical Analysis, 2002
A new superconvergence result is established for numerical solutions of elliptic problems obtained from the mixed finite element method of Raviart--Thomas over rectangular partitions. The well-known optimal order error estimate in L 2 -norm for the flux approximation is of order ${\cal O}(h ...
Richard E. Ewing, Mingjun Liu, Junping Wang   +2 more
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Conforming Rectangular Mixed Finite Elements for Elasticity

Journal of Scientific Computing, 2010
A family of rectangular mixed finite elements for the stress-displacement system of the phase elasticity problem is described in the paper. Estimates of a certain type on the convergence velocity are found. In the reviewer's opinion the estimates in the paper (see Theorems 2 and 3) are not of an interest neither from the numerical point of view nor ...
Shao-Chun Chen, Ya-Na Wang
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A nonstandard mixed finite element family

Numerische Mathematik, 2009
The mixed method for the Poisson equation is applied to finite element functions with some extra continuity conditions in the BDM space or BDDF space. The degrees of freedom on the interfaces are adapted. Error estimates are given in terms of the \(L_2\) norm for \(\sigma\) and a broken \(H^1\) norm for \(u\), i.e., not for the pair \(H(\text{div ...
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Mixed methods and the marriage between “mixed” finite elements and boundary elements

Numerical Methods for Partial Differential Equations, 1991
AbstractWhen fields that describe a physical situation extend over the whole space, but with complex behavior (nonlinearity, coupling, etc.) only in a bounded region and simple behavior in the rest of space, it may be worthwhile to treat the inner field by a finite elements procedure and the outer field by boundary elements.
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A Mixed Finite Element Method for Coupled Plates

Computational Methods in Applied Mathematics
Abstract This paper introduces a mixed finite element method for the problem of two coupled plates with mixed boundary conditions and rigid junction conditions. By introducing the union of stresses and moments as an independent variable, which is of significant interest in practical applications, a mixed formulation is developed and its ...
Jun Hu 0013, Zhen Liu, Rui Ma, Ruishu Wang   +3 more
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Mixed finite elements in ?3

Numerische Mathematik, 1980
We present here some new families of non conforming finite elements in ?3. These two families of finite elements, built on tetrahedrons or on cubes are respectively conforming in the spacesH(curl) andH(div). We give some applications of these elements for the approximation of Maxwell's equations and equations of elasticity.
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A mixed finite element for the stokes problem using quadrilateral elements

Advances in Computational Mathematics, 1995
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Mohamed Farhloul, Michel Fortin
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Coupling of mixed finite elements and boundary elements

IMA Journal of Numerical Analysis, 2000
The authors carry out a fairly complete and rigorous a priori and a posteriori error analysis for the symmetric coupling of mixed finite elements and boundary elements corresponding to a model interface problem involving the Laplacian.
Carstensen, Carsten, Funken, Stefan A.
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New quadrilateral mixed finite elements

2010
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Hyon, Y Hyon, Yunkyong, Kwak, DY Kwak, Do Young   +1 more
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Mixed finite element modelling of cartilaginous tissues

Mathematics and Computers in Simulation, 2003
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E. F. Kaasschieter, Arjan J. H. Frijns, J. M. Huyghe   +2 more
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