Results 71 to 80 of about 1,836 (211)
Discontinuous Galerkin methods: exploiting superconvergence for improved time-stepping [PDF]
, 2017 The discontinuous Galerkin (DG) methods are one of the most extensively researched classes of numerical methods for solving partial dfferential equations that display convective or diffusive qualities and have been popularly adopted by the scientific and
Frean, Daniel
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Numerical Solutions for Weakly Singular Hammerstein Equations and Their Superconvergence [PDF]
, 1992 In the recent paper [7], it was shown that the solutions of weakly singular Hammerstein equations satisfy certain regularity properties. Using this result, the optimal convergence rate of a standard piecewise polynomial collocation method and that of the
Noren, Richard D. +2 more
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A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore +3 more
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On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems
, 2006 We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. Numerical experiments confirm the superconvergence property and suggest that it holds also for the lowest order Brezzi-Douglas-Marini ...
GARDINI, FRANCESCA
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Error Analysis of a Pressure‐Correction Method With Explicit Time‐Stepping
International Journal for Numerical Methods in Fluids, Volume 97, Issue 10, Page 1363-1378, October 2025.We study explicit variants of this well‐established pressure‐correction scheme for solving the Navier–Stokes equations. Step 3 is replaced by an explicit time‐integration method. We give the complete error analysis for this scheme that allows for highly efficient implementations.
Utku Kaya, Thomas Richter
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AxiomsIn our previous works, we developed the superconvergence of a nonconforming finite element method based on unfitted meshes for an elliptic interface problem and elliptic problem, respectively.
Xiaoxiao He
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 10, 30 May 2025.ABSTRACT This work presents a hybrid pressure face‐centred finite volume (FCFV) solver to simulate steady‐state incompressible Navier‐Stokes flows. The method leverages the robustness, in the incompressible limit, of the hybridisable discontinuous Galerkin paradigm for compressible and weakly compressible flows to derive the formulation of a novel, low‐
Matteo Giacomini +4 more
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Superconvergence of Mixed Finite Element Method with Bernstein Polynomials for Stokes Problem
AxiomsIn this paper, we employ interpolation and projection methodologies to establish a superconvergence outcome for the Stokes problem, as approximated by the mixed finite element method (FEM) utilizing Bernstein polynomial basis functions.
Lanyin Sun, Siya Wen, Ziwei Dong
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Abstract and Applied Analysis, 2012 We present a linear backward Euler fully discrete finite volume method for the initial-boundary-value problem of purely longitudinal motion of a homogeneous bar and an give optimal order error estimates in L2 and H1 norms.
Ziwen Jiang, Deren Xie
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, 2001 For a limited number of matter fields, the discontinuity of the transverse gauge field propagator can satisfy an exact sum rule. With controlled and limited gauge dependence, this supercconvergence relation is of physical interest.
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