Local superconvergence of post-processed high-order finite volume element solutions
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DOI: 10.1007/s10444-020-09801-2
Abstract: Local superconvergence properties of the post-processed finite volume element method (FVEM) are studied. Some interpolation/extrapolation post-processing techniques are applied to a class of k th-order ( k ≥ 2) FVE solutions for elliptic equations. A local… read more here.
Keywords: finite volume; volume element; post processed; local superconvergence ... See more keywords
Unconditional Superconvergence Analysis of a Crank–Nicolson Galerkin FEM for Nonlinear Schrödinger Equation
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DOI: 10.1007/s10915-017-0390-2
Abstract: A linearized Crank–Nicolson Galerkin finite element method with bilinear element for nonlinear Schrödinger equation is studied. By splitting the error into two parts which are called the temporal error and the spatial error, the unconditional… read more here.
Keywords: nonlinear schr; error; nicolson galerkin; crank nicolson ... See more keywords
Supercloseness of Linear DG-FEM and Its Superconvergence Based on the Polynomial Preserving Recovery for Helmholtz Equation
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DOI: 10.1007/s10915-019-00906-5
Abstract: In this paper we study the supercloseness property of the linear discontinuous Galerkin (DG) finite element method and its superconvergence behavior after post-processing by the polynomial preserving recovery (PPR). The error estimate with explicit dependence… read more here.
Keywords: superconvergence; recovered gradient; polynomial preserving; preserving recovery ... See more keywords
Putting the learner at the heart of student experience: The role of the University Library in a seven-year journey of superconvergence at Northumbria University, UK
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DOI: 10.1080/13614533.2018.1499540
Abstract: Abstract Higher Education in the UK is experiencing a level of change unprecedented in the last twenty-five years. Coupled with global drivers and disruptors, from technology to generational differences, the new higher education landscape that… read more here.
Keywords: university library; student; northumbria university; university ... See more keywords
Unconditional Superconvergence Error Estimates of Semi-Implicit Low-Order Conforming Mixed Finite Element Method for Time-Dependent Navier–Stokes Equations
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DOI: 10.3390/math11081945
Abstract: In this paper, the unconditional superconvergence error analysis of the semi-implicit Euler scheme with low-order conforming mixed finite element discretization is investigated for time-dependent Navier–Stokes equations. In terms of the high-accuracy error estimates of the… read more here.
Keywords: error estimates; finite element; error; low order ... See more keywords