Doubling the Convergence Rate by Pre- and Post-Processing the Finite Element Approximation for Linear Wave Problems
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Publication:5204012
DOI10.1137/19M1245700zbMath1435.65143arXiv1902.07999OpenAlexW2989740780WikidataQ126663261 ScholiaQ126663261MaRDI QIDQ5204012
Publication date: 9 December 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.07999
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
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- Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes
- Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries
- Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
- Spectral element method for acoustic wave simulation in heterogeneous media
- Dispersion properties of explicit finite element methods for wave propagation modelling on tetrahedral meshes
- Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling
- On a one-sided post-processing technique for the discontinuous Galerkin methods
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
- Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
- High Order Mass-Lumping Finite Elements on Simplexes
- Some remarks on post-processing and negative norm estimates for approximations to non-smooth solutions of hyperbolic equations
- Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- Optimal Finite-Element Interpolation on Curved Domains
- Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- High Order Local Approximations to Derivatives in the Finite Element Method
- A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
- Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem
- New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
- Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes
- Finite Difference Approximation for Pricing the American Lookback Option
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