Banach space projections and Petrov-Galerkin estimates [PDF]
, 2015 We sharpen the classic a priori error estimate of Babuska for Petrov-Galerkin methods on a Banach space. In particular, we do so by (i) introducing a new constant, called the Banach-Mazur constant, to describe the geometry of a normed vector space; (ii ...
Stern, Ari
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A priori error estimation for the stochastic perturbation method
Computer Methods in Applied Mechanics and Engineering, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Yu Wang +3 more
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An H1 -Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic Equation
Mathematical Modelling and Analysis, 2017 In this paper we investigate a semi-discrete H1 -Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string.
Fengxin Chen, Zhaojie Zhou
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Reconstructing the right-hand side of the Rayleigh–Stokes problem with nonlocal in time condition
Advances in Difference Equations, 2021 In this paper, the problem of finding the source function for the Rayleigh–Stokes equation is considered. According to Hadamard’s definition, the sought solution of this problem is both unstable and independent of continuous data. By using the fractional
Phuong Nguyen Duc +3 more
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Goal-oriented adaptive method for Fredholm partial integro-differential equations
Ain Shams Engineering Journal, 2023 In this article, a goal-oriented adaptive scheme is proposed for Fredholm partial integro-differential equations (FPIDEs). The aim of this work is to obtain higher accuracy approximations for the unknown function and its derivative at a given fixed point.
M. Sameeh, A. Elsaid, M. El-Agamy
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A-priori estimates of the hp-adaptive BEM in elastic scattering of acoustic waves
Computer Assisted Methods in Engineering and Science, 2023 In the paper some a-priori hp-adaptive error estimates, applied to the problem of acoustic wave scattering on an elastic body in the 2D space, solved by the Boundary Element Method, are presented.
Andrzej Karafiat
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Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates
Computational Methods in Applied Mathematics, 2022 Abstract In their article “Coupling at a distance HDG and BEM”, Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the boundary element method (BEM) to solve an exterior Dirichlet problem.
Nestor Sánchez +2 more
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An approximation scheme for an Eikonal Equation with discontinuous coefficient [PDF]
, 2013 We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More precisely, we consider special class of discontinuities for which the notion
Adriano Festa +4 more
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Estimating the Position of an Image with Unknown Intensity Shape
Communications, 2021 The problem considered is to estimate the image position of a spatially extended object. It is assumed that the shape of the image intensity is a priori unknown, but it can be predicted with some error.
Yury E. Korchagin +3 more
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A priori error for unilateral contact problems with Lagrange multiplier and IsoGeometric Analysis [PDF]
, 2018 In this paper, we consider unilateral contact problem without friction between a rigid body and deformable one in the framework of isogeometric analysis.
Antolin, Pablo +2 more
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