Numerical Study of an Anisotropic Error Estimator in the $L^2(H^1)$ Norm for the Finite Element Discretization of the Wave Equation

Marco Picasso

doi:10.1137/090778249

Numerical Study of an Anisotropic Error Estimator in the $L^2(H^1)$ Norm for the Finite Element Discretization of the Wave Equation

SIAM Journal on Scientific Computing ◽

10.1137/090778249 ◽

2010 ◽

Vol 32 (4) ◽

pp. 2213-2234 ◽

Cited By ~ 8

Author(s):

Marco Picasso

Keyword(s):

Finite Element ◽

Wave Equation ◽

Numerical Study ◽

Error Estimator ◽

Finite Element Discretization ◽

Element Discretization

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Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation

Numerische Mathematik ◽

10.1007/s00211-021-01258-9 ◽

2022 ◽

Author(s):

Gilbert Peralta ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Wave Equation ◽

Finite Element Discretization ◽

Element Discretization ◽

Galerkin Finite Element

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A fast discontinuous finite element discretization for the space-time fractional diffusion-wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22179 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2043-2061

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li

Keyword(s):

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Space Time ◽

Finite Element Discretization ◽

Element Discretization ◽

Diffusion Wave ◽

Discontinuous Finite Element

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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Two grid finite element discretization method for semi‐linear hyperbolic integro‐differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22370 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1676-1693

Author(s):

Luoping Chen ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Discretization Method ◽

Finite Element Discretization ◽

Element Discretization

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A Discontinuous Phase-Space Finite Element Discretization of the Linear Boltzmann-Vlasov Equation for Charged Particle Transport

Journal of Computational and Theoretical Transport ◽

10.1080/00411450.2014.910230 ◽

2014 ◽

Vol 43 (1-7) ◽

pp. 128-147 ◽

Cited By ~ 2

Author(s):

Shawn D. Pautz ◽

Clif Drumm ◽

Wesley C. Fan ◽

C. David Turner

Keyword(s):

Finite Element ◽

Charged Particle ◽

Phase Space ◽

Vlasov Equation ◽

Particle Transport ◽

Finite Element Discretization ◽

Element Discretization ◽

Discontinuous Phase ◽

Charged Particle Transport

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Local error estimates for finite element discretization of the Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1995290303671 ◽

1995 ◽

Vol 29 (3) ◽

pp. 367-389 ◽

Cited By ~ 28

Author(s):

Douglas N. Arnold ◽

Liu Xiaobo

Keyword(s):

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Local Error ◽

Finite Element Discretization ◽

Element Discretization

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Finite element discretization of non-linear diffusion equations with thermal fluctuations

The Journal of Chemical Physics ◽

10.1063/1.4913746 ◽

2015 ◽

Vol 142 (9) ◽

pp. 094115 ◽

Cited By ~ 19

Author(s):

J. A. de la Torre ◽

Pep Español ◽

Aleksandar Donev

Keyword(s):

Finite Element ◽

Thermal Fluctuations ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Linear Diffusion ◽

Element Discretization ◽

Non Linear

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Higher-order finite element discretization

Studies in Advanced Mathematics - Higher-Order Finite Element Methods ◽

10.1201/9780203488041.ch3 ◽

2003 ◽

Keyword(s):

Finite Element ◽

Higher Order ◽

Finite Element Discretization ◽

Element Discretization

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_23 ◽

2011 ◽

pp. 445-466

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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Finite element discretization of Darcy's equations with pressure dependent porosity

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010019 ◽

2010 ◽

Vol 44 (6) ◽

pp. 1155-1191 ◽

Cited By ~ 3

Author(s):

Vivette Girault ◽

François Murat ◽

Abner Salgado

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Darcy’S Equations

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