Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods
نویسندگان
چکیده
منابع مشابه
Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods
In this paper, a general error analysis is provided for finite-element discretizations of partial differential equations in a saddle-point form with divergence constraint. In particular, this extends upon the work of [J. H. Adler and P. S. Vassilevski, Springer Proc. Math. Statist. 45, Springer, New York, 2013, pp. 1–19], giving a general error estimate for finite-element problems augmented wit...
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Least-squares principles use artificial " energy " functionals to provide a Rayleigh-Ritz-like setting for the finite element method. These function-als are defined in terms of PDE's residuals and are not unique. We show that viable methods result from reconciliation of a mathematical setting dictated by the norm-equivalence of least-squares functionals with practicality constraints dictated by...
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A parameter-dependent rst-order system arising from elasticity problems is introduced. The system corresponds to the 2D isotropic elasticity equations under a stress-pressure-displacement formulation in which the nonnegative parameter measures the material compressibility for the elastic body. Standard and weighted least squares nite element methods are applied to this system, and analyses for ...
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The first-order system least-squares (FOSLS) finite element method for solving partial differential equations has many advantages, including the construction of symmetric positive definite algebraic linear systems that can be solved efficiently with multilevel iterative solvers. However, one drawback of the method is the potential lack of conservation of certain properties. One such property is...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2014
ISSN: 1064-8275,1095-7197
DOI: 10.1137/130943091