A new a priori error estimate of nonconforming finite element methods
Science China Mathematics, 2014The authors consider second- and fourth-order elliptic equations along with Dirichlet boundary conditions in \(n=2\) and \(n=3\) dimensions. Assuming \(H^m\) regularity of the exact solutions and shape regular partitions into simplices or \(n\)-paralellotopes, they investigate the accuracy of nonconforming finite element methods, continuing work of ...
Hu, Jun, Ma, Rui, Shi, Zhongci
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A Priori Truncation Error Estimates for Stieltjes Fractions
1981Stieltjes fractions are here studied in the form K(a n z/1), a n > 0, n ≥ 1. They provide expansions for many useful functions and have integral representations $$ \int\limits_0^\infty {\frac{{zd\psi (t)}}{{1 + zt}}} $$ .
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A Priori Error Estimates for Nonlinear Scalar Conservation Laws
1999In this note, we review the recent work of the authors on a priori error estimates for nonlinear scalar conservation laws. A priori error estimates are important because they shed light into the nature of the corresponding numerical scheme. In this note, we show how to use our a priori error estimation technique to study multidimensional monotone ...
Bernardo Cockburn +2 more
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A priori error estimates for hp penalty BEM for contact problems in elasticity
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chernov, A. +2 more
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A Priori Error Estimates for State-Constrained Semilinear Parabolic Optimal Control Problems
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Ludovici +2 more
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Temporal localized nonlinear model reduction with a priori error estimate
Applied Numerical Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A priori estimates of the approximation errors of a multidimensionalg-fraction
Journal of Mathematical Sciences, 1999Applying a multidimensional π-fraction, we establish estimates of the rate of convergence of a multidimensional g-fraction in certain bounded domains.
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A priori error estimates for a coseismic slip optimal control problem
Applied Numerical MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge Aguayo, Rodolfo Araya
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A Priori Error Estimates for the Method of Inclusion-Exclusion with Applications
SIAM Journal on Applied Mathematics, 1984Summary: The method of inclusion-exclusion can be used to obtain successive upper and lower bounds on the probability of the occurrence of complex events. Usually only the first upper and the first lower bound are considered. But as they can be crude, further bounds must not be excluded from methodical studies and practical computations.
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A priori error estimates for the Arbitrary Lagrangian Eulerian formulation with finite elements
Journal of Numerical Mathematics, 2001The approximation by finite elements of a time-dependent advection-diffusion problem in a moving two-dimensional domain is considered. The author assumes that the motion of the boundary of the domain is given. This problem is discretized by linear finite elements in space and a modification of the implicit Euler scheme, based on the mid-point rule, in ...
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