Results 1 to 10 of about 46 (46)
Mathematical Methods in the Applied Sciences, Volume 44, Issue 17, Page 12500-12521, 30 November 2021., 2021 This paper is concerned with the numerical approximation of the solution of the coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term using a mixed finite element method. The Raviart‐Thomas mixed finite element method is one of the most prominent techniques to discretize the second‐order wave equations; therefore, we ...
Maryam Parvizi +2 more
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Numerical comparison of three a posteriori error estimators for nonconforming finite element method
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we propose to compare three a posteriori error estimators namely equilibrated, star-based and residual based for the Poisson problem and the Stokes problem with lowest-order Crouzeix-Raviart finite element discretization.
Achchab B. +3 more
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Ingeniería y Ciencia, 2013 A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided ...
Mauricio Osorio, Donald French
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L∞‐error estimate for a system of elliptic quasivariational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 24, Page 1547-1561, 2003., 2003 We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)‐regularity of the continuous solution, a quasi‐optimal L∞‐convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan‐Lions type and standard uniform error estimates known for elliptic ...
M. Boulbrachene, M. Haiour, S. Saadi
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001 This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene +2 more
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Superconvergence of a finite element method for linear integro‐differential problems
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 5, Page 343-359, 2000., 2000 We introduce a new way of approximating initial condition to the semidiscrete finite element method for integro‐differential equations using any degree of elements. We obtain several superconvergence results for the error between the approximate solution and the Ritz‐Volterra projection of the exact solution. For k > 1, we obtain first order gain in Lp(
Do Y. Kwak, Sungyun Lee, Qian Li
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Superconvergence of finite element method for parabolic problem
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 567-578, 2000., 2000 We study superconvergence of a semi‐discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a superconvergence of uh − Rhu, then use a postprocessing to improve the accuracy to higher order.
Do Y. Kwak, Sungyun Lee, Qian Li
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Stable finite element methods for the Stokes problem
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 10, Page 699-714, 2000., 2000 The mixed finite element scheme of the Stokes problem with pressure stabilization is analyzed for the cross‐grid Pk − Pk−1elements, k ≥ 1, using discontinuous pressures. The Pk+−Pk−1 elements are also analyzed. We prove the stability of the scheme using the macroelement technique.
Yongdeok Kim, Sungyun Lee
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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 663-672, 1992., 1991 In this paper coupled implicit initial‐boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
Lucas Jódar
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International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 345-360, 1987., 1987 Optimal error estimates in L2, H1 and H2‐norm are established for a single phase Stefan problem with quasilinear parabolic equation in non‐divergence form by an H1‐Galerkin procedure.
A. K. Pani, P. C. Das
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