Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/20m134383x ◽

2021 ◽

Vol 59 (1) ◽

pp. 119-142

Author(s):

Bangti Jin ◽

Zhi Zhou

Keyword(s):

Finite Element ◽

Diffusion Coefficient ◽

Error Analysis ◽

Parabolic Problems ◽

Finite Element Approximations ◽

Coefficient Identification

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Sharp estimates for finite element approximations to parabolic problems with Neumann boundary data of low regularity

BIT Numerical Mathematics ◽

10.1007/s10543-007-0157-5 ◽

2008 ◽

Vol 48 (1) ◽

pp. 117-137 ◽

Author(s):

Aaron Solo

Keyword(s):

Finite Element ◽

Boundary Data ◽

Neumann Boundary ◽

Parabolic Problems ◽

Low Regularity ◽

Finite Element Approximations ◽

Sharp Estimates

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Stabilized finite element approximations for a generalized Boussinesq problem: A posteriori error analysis

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112703 ◽

2020 ◽

Vol 361 ◽

pp. 112703

Author(s):

Alejandro Allendes ◽

César Naranjo ◽

Enrique Otárola

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Boussinesq Problem ◽

Stabilized Finite Element ◽

Finite Element Approximations ◽

Posteriori Error Analysis

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A discrete commutator theory for the consistency and phase error analysis of semi-discrete C0 finite element approximations to the linear transport equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.02.042 ◽

2016 ◽

Vol 303 ◽

pp. 229-248 ◽

Author(s):

Travis Thompson

Keyword(s):

Finite Element ◽

Error Analysis ◽

Transport Equation ◽

Phase Error ◽

Linear Transport ◽

Commutator Theory ◽

Finite Element Approximations ◽

Linear Transport Equation

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An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/100782760 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1367-1393 ◽

Author(s):

Sajid Memon ◽

Neela Nataraj ◽

Amiya Kumar Pani

Keyword(s):

Finite Element ◽

Error Analysis ◽

Mixed Finite Element ◽

Posteriori Error ◽

Parabolic Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Galerkin Approximations ◽

Posteriori Error Analysis

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The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0726019 ◽

1989 ◽

Vol 26 (2) ◽

pp. 348-365 ◽

Author(s):

Stig Larsson

Keyword(s):

Finite Element ◽

Parabolic Problems ◽

Time Behavior ◽

Long Time Behavior ◽

Finite Element Approximations ◽

Long Time ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problems

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A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997320164 ◽

2000 ◽

Vol 38 (2) ◽

pp. 608-625 ◽

Author(s):

Mats G. Larson

Keyword(s):

Finite Element ◽

Error Analysis ◽

Eigenvalue Problems ◽

A Priori ◽

A Posteriori ◽

Finite Element Approximations ◽

A Priori Error Analysis ◽

Elliptic Eigenvalue Problems

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hp-Version a priori Error Analysis of Interior Penalty Discontinuous Galerkin Finite Element Approximations to the Biharmonic Equation

Journal of Scientific Computing ◽

10.1007/s10915-006-9100-1 ◽

2006 ◽

Vol 30 (3) ◽

pp. 465-491 ◽

Author(s):

Igor Mozolevski ◽

Endre Süli ◽

Paulo R. Bösing

Keyword(s):

Finite Element ◽

Error Analysis ◽

Discontinuous Galerkin ◽

Biharmonic Equation ◽

A Priori ◽

Interior Penalty ◽

Galerkin Finite Element ◽

Finite Element Approximations ◽

A Priori Error Analysis ◽

Discontinuous Galerkin Finite Element

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Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE

SIAM Journal on Control and Optimization ◽

10.1137/17m1155636 ◽

2019 ◽

Vol 57 (1) ◽

pp. 241-263

Author(s):

Max Gunzburger ◽

Jilu Wang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Error Analysis ◽

Control Problem ◽

Fully Discrete ◽

Finite Element Approximations ◽

Fractional Pde ◽

Discrete Finite Element

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Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity

Numerische Mathematik ◽

10.1007/s00211-007-0111-0 ◽

2007 ◽

Vol 108 (1) ◽

pp. 93-119 ◽

Author(s):

Xiaobing Feng ◽

Michael Neilan ◽

Andreas Prohl

Keyword(s):

Finite Element ◽

General Relativity ◽

Error Analysis ◽

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Finite Element Approximations ◽

Inverse Mean Curvature Flow

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Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02703-2 ◽

2013 ◽

Vol 83 (285) ◽

pp. 37-64 ◽

Author(s):

Liyong Zhu ◽

Qiang Du

Keyword(s):

Finite Element ◽

Condition Number ◽

Parabolic Problems ◽

Finite Element Approximations

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