Results 31 to 40 of about 82 (70)
Stability Analysis of Wilson's Element for Incompressible Elasticity
, 1994 In this work, the rectangular nonconforming Wilson element in solving incompressible elastic equation is analyzed. Although the element does not satisfies the inf-sup condition (in a mixed formulation), it still can be used to compute the displacement ...
Zhimin Zhang
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Computable convergence bounds for GMRES
, 1998 The main purpose of this paper is the derivation of computable bounds on the residual norms of (full) GMRES. The new bounds depend on the initial guess and thus are conceptually different from standard 'worst-case' bounds. The analysis is valid
Jörg Liesen
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, 2008 . The Ultra Weak Variational Formulation (UWVF) of the Helmholtz equation provides a variational framework suitable for discretization using plane wave solutions of the adjoint of the underlying equation.
Peter Monk, Annalisa Buffa
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, 1997 . Various sophisticated finite element models for surface water flow based on the shallow water equations exist in the literature. Gray, Kolar, Luettich, Lynch and Westerink have developed a hydrodynamic model based on the generalized wave continuity ...
M. L. Martinez +6 more
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A DUAL LEAST-SQUARES FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC PDES: A NUMERICAL STUDY
, 2008 . In this paper, we develop a least-squares finite element method for linear Partial Differential Equations (PDEs) of hyperbolic type. This formulation allows for discontinuities in the numerical approximation and yields a linear system which can be ...
Luke Olson
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Numerical verification method for solutions of the perturbed Gelfand equation
, 1998 A numerical verification method for radially symmetric solutions of the perturbed Gelfand equation is presented for the case in which this equation possesses turning points.
Mitsuhiro T. Nakao +2 more
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Local Error Estimates And Adaptive Refinement For First-Order System Least Squares (FOSLS)
, 1997 . We establish an a-posteriori error estimate, with corresponding bounds, that is valid for any FOSLS L 2 -minimization problem. We present some numerical examples to support our theoretical results.
Stephen F. McCormick +3 more
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, 1997 . Various sophisticated finite element models for surface water flow exist in the literature. Gray, Kolar, Luettich, Lynch and Westerink have developed a hydrodynamic model based on the generalized wave continuity equation (GWCE) formulation, and have ...
M. Martinez +6 more
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This paper investigates an elliptic interface problem with discontinuous diffusion coefficients discretized by finite elements on unfitted meshes, employing the CutFEM method. The main contribution is the a posteriori error analysis based on equilibrated
Aimene Gouasmi, Daniela Capatina
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An optimal adaptive finite element method for the Stokes problem
, 2006 . A new adaptive finite element method for solving the Stokes equations is developed, which is shown to converge with the best possible rate. The method consists of 3 nested loops.
Rob Stevenson, Yaroslav Kondratyuk
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