Results 41 to 50 of about 117,310 (166)
Two-Level Brezzi-Pitkäranta Stabilized Finite Element Methods for the Incompressible Flows
Abstract and Applied Analysis, 2014 We present a new stabilized finite element method for incompressible flows based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of finite element solutions are derived for classical one-level method. Combining the techniques of
Rong An, Xian Wang
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Combined Hybrid Finite Element Methods for Eigenvalue Problems
四川大学学报. 自然科学版, 2017 In this paper, we apply combined hybrid finite element methods to the eigenvalue problems, and construct a new finite element method for solving the smallest eigenvalue. First, we derive the optimal error estimation, and then we use numerical examples to
FU Wei, WANG Hao, ZHANG Shi-Quan
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Convergence of Adaptive Finite Element Methods [PDF]
SIAM Review, 2002 The authors consider the use of adaptive finite element methods. They construct an algorithm, which converges linearly and which does not involve preliminary mesh adaptation. They give the results of a number of numerical experiments and point out the possibilities associated with higher order elements and saddle point problems are also discussed.
Morin, Pedro +2 more
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Acta NumericaCut finite element methods (CutFEM) extend the standard finite element method to unfitted meshes, enabling the accurate resolution of domain boundaries and interfaces without requiring the mesh to conform to them. This approach preserves the key properties and accuracy of the standard method while addressing challenges posed by complex geometries and ...
Erik Burman +3 more
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Numerical approximation for a degenerate parabolic-elliptic system modeling flows in porous media
Electronic Journal of Differential Equations, 2012 We present a numerical scheme for the approximation of the system of partial differential equations of the Peaceman model for the miscible displacement of one fluid by another in a two dimensional porous medium.
Rabah-Hacene Bellout
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Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems
Abstract and Applied Analysis, 2014 The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
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An Optimal Adaptive Finite Element Method [PDF]
SIAM Journal on Numerical Analysis, 2005 The Dirichlet problem in a polygonal domain \(\Omega\) in \({\mathbb R}^2\) for a second-order elliptic equation with disconinuous coefficients is considered. The finite element methods on triangulations of \(\bar\Omega \) are investigated and the main purpose of the paper is to generalize some published results dealing with convergence analysis of ...
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On Convex Functions and the Finite Element Method [PDF]
SIAM Journal on Numerical Analysis, 2009 Many problems of theoretical and practical interest involve finding a convex or concave function. For instance, optimization problems such as finding the projection on the convex functions in $H^k(Ω)$, or some problems in economics. In the continuous setting and assuming smoothness, the convexity constraints may be given locally by asking the Hessian ...
Aguilera, Néstor Edgardo, Morin, Pedro
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Parallel iterative computational methods for 3D finite element flow simulations
Computer Assisted Methods in Engineering and Science, 2023 In this paper we discuss sparse matrix computational methods, and their parallel implementations, for evaluating matrix-vector products in iterative solution of coupled, nonlinear equations encountered in finite element flow simulations. Based on sparse
Vinay Kalro, Tayfun Tezduyar
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Adaptive Finite Element Methods in Electrochemistry
Langmuir, 2006 In this article, we review some of our previous work that considers the general problem of numerical simulation of the currents at microelectrodes using an adaptive finite element approach. Microelectrodes typically consist of an electrode embedded (or recessed) in an insulating material.
Gavaghan, D, Gillow, K, Süli, E
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