Results 31 to 40 of about 87 (75)

Mathematical Modelling and Numerical Analysis Will be set by the publisher Modélisation Mathématique et Analyse Numérique ERROR ESTIMATES FOR THE ULTRA WEAK VARIATIONAL FORMULATION OF THE HELMHOLTZ EQUATION

, 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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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, Thomas A. Manteuffel, Markus Berndt, Stephen   +3 more
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An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems. [PDF]

J Sci Comput, 2020
Gedicke J, Geevers S, Perugia I.
europepmc   +1 more source

Finite Element Approximation to the System of Shallow Water Equations, Part II: Discrete Time A Priori Error Estimates

, 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, C. Dawson, M. Wheeler, S. Chippada, C. N. Dawson, M. F. Wheeler, M. L. Mart'inez   +6 more
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Anisotropic interpolation error estimates via orthogonal expansions

Open Mathematics, 2013
Li Mingxia, Mao Shipeng
doaj   +1 more source

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, Nobito Yamamoto, Teruya Minamoto   +2 more
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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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Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients

Open Mathematics, 2014
Guan Xiaofei, Li Mingxia, He Wenming, Jiang Zhengwu   +3 more
doaj   +1 more source

A parallel Newton multigrid method for high order finite elements and its application on numerical existence proofs for elliptic boundary value equations

, 1996
. We describe a parallel algorithm for the numerical computation of guaranteed bounds for solutions of elliptic boundary value equations of second order.
Wieners, Christian, Christian Wieners
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Superconvergent Finite Element Methods on a Shishkin Mesh for Convection-Diffusion Problems

, 2007
. In this work, the bilinear finite element method on a Shishkin mesh for convection-diffusion problems is analyzed in the two-dimensional setting. A superconvergent rate O(N \Gamma2 ln 2 N + N \Gamma3=2 ) in a discrete ffl-weighted energy norm is ...
Zhimin Zhang
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