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Residual based a posteriori error estimation for Dirichlet boundary control problems [PDF]
ESAIM: Proceedings and Surveys, 2021 We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discontinuous Galerkin (LDG) method ...
Yücel Hamdullah
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Selecciones Matemáticas, 2023 The duality theory of convex analysis is applied to the complete electrode model (CEM), which is a standard model in electrical impedance tomography (EIT). This results in a dual formulation of the CEM and a general error estimate.
Josué D. Díaz-Avalos
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A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures
Results in Applied Mathematics, 2023 This work concerns the propagation of flexural waves through one-dimensional periodic structures embedded in thin elastic plates. We show that the out-of-plane displacement of the plate only contains the Helmholtz wave component and the modified ...
Junhong Yue +3 more
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Abstract and Applied Analysis, 2021 In this work, we develop an a posteriori error analysis of a conforming mixed finite element method for solving the coupled problem arising in the interaction between a free fluid and a fluid in a poroelastic medium on isotropic meshes in ℝd, d∈2,3.
Houédanou Koffi Wilfrid
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Abstract and Applied Analysis, 2020 In this paper, we develop an a posteriori error analysis for the stationary Stokes-Darcy coupled problem approximated by conforming the finite element method on isotropic meshes in ℝd, d∈2,3.
Houédanou Koffi Wilfrid +2 more
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A posteriori regularization method for the two-dimensional inverse heat conduction problem
Open Mathematics, 2022 In this article, we consider a two-dimensional inverse heat conduction problem that determines the surface temperature distribution from measured data at the fixed location.
Cheng Wei, Liu Yi-Liang, Zhao Qi
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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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Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay
Mathematics, 2021 This paper proposes an extrapolation method to solve a class of non-linear weakly singular kernel Volterra integral equations with vanishing delay. After the existence and uniqueness of the solution to the original equation are proved, we combine an ...
Li Zhang, Jin Huang, Hu Li, Yifei Wang
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St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 Work is devoted to analysis of a posteriori error estimate for accuracy control of approximate solutions for problems of Reissner-Mindlin plates bending.
Kiselev Kirill +2 more
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Mathematics, 2023 This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
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