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A New Finite Element Space for Expanded Mixed Finite Element Method
Journal of Computational Mathematics, 2023In this article, we propose a new finite element space $Λ_h$ for the expanded mixed finite element method (EMFEM) for second-order elliptic problems to guarantee its computing capability and reduce the computation cost. The new finite element space $Λ_h$ is designed in such a way that the strong requirement $V_h ⊂ Λ_h$ in [9] is weakened to $\{v_h ...
Jing Chen +3 more
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Mixed finite elements for elasticity
Numerische Mathematik, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Douglas N. Arnold, Ragnar Winther
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On Mixed Finite Element Approximations
SIAM Journal on Numerical Analysis, 1976A theory of mixed finite element approximations of a class of linear self-adjoint boundary value problems is developed which involves splitting a problem of the type $T^ * Tu = f$ into a pair of canonical equations, $Tu = {\bf v}$, $T^ * v = f$. Consistency and stability of Galerkin/finite element approximations of the pair is described, convergence ...
Oden, J. T., Reddy, J. N.
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MIXED FINITE ELEMENTS IN MAGNETOSTATICS
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 1993The mixed variational formulation in two‐dimensional magnetostatics and the corresponding discretization are presented in a systematic way. The comparison between the mixed finite element approach and the classical one is shown with reference to some case studies; numerical results are reported.
Di Barba, P., Marini, L. D., Savini, A.
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A note on least-squares mixed finite elements in relation to standard and mixed finite elements
IMA Journal of Numerical Analysis, 2006The least-squares mixed finite-element method for second-order elliptic problems yields an approximation u h ∈ V h C H 1 0 (Q) of the potential u together with an approximation p h ∈ r h ⊂ H(div; Q) of the vector field p = -AVu. Comparing u h with the standard finite-element approximation of u in V h , and p h with the mixed finite-element ...
Brandts, J.H., Chen, Y.P., Yang, J.
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2022
The parameters of the structure contain random variables and interval variables. The Taylor expansion method and Neumann expansion method of random interval finite element are proposed. The parameters of the structure are random and fuzzy. Taylor expansion method and Neumann expansion method of the random fuzzy finite element are illustrated.
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The parameters of the structure contain random variables and interval variables. The Taylor expansion method and Neumann expansion method of random interval finite element are proposed. The parameters of the structure are random and fuzzy. Taylor expansion method and Neumann expansion method of the random fuzzy finite element are illustrated.
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Mixed moving finite element method
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shengjie Zhao, Yufu Chen
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A generalization for stable mixed finite elements
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling, 2010Mixed finite element methods solve a PDE involving two or more variables. In typical problems from electromagnetics and electrodiffusion, the degrees of freedom associated to the different variables are stored on both primal and dual domain meshes and a discrete Hodge star is used to transfer information between the meshes. We show through analysis and
Andrew Gillette, Chandrajit L. Bajaj
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Mixed finite elements on sparse grids
Numerische Mathematik, 2003The authors are concerned with the construction of discrete differential forms of lowest order on regular sparse grids. They analyse fairly rigorously their approximation properties and find accurate and computable approximations for nodal interpolation operators.
Vasile Gradinaru, Ralf Hiptmair
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