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Discrete maximal parabolic regularity for Galerkin finite element methods

Numerische Mathematik, 2017-03, Vol.135 (3), p.923-952

2017

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OPTE special issue on PDE-constrained optimization

Optimization and engineering, 2021-12, Vol.22 (4), p.1985-1987

2021

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L2(I;H1(Ω)d) and L2(I;L2(Ω)d) best approximation type error estimates for Galerkin solutions of transient Stokes problems

Calcolo, 2024, Vol.61 (1)

2024

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POINTWISE BEST APPROXIMATION RESULTS FOR GALERKIN FINITE ELEMENT SOLUTIONS OF PARABOLIC PROBLEMS

SIAM journal on numerical analysis, 2016-01, Vol.54 (3), p.1365-1384

2016

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Optimal control of the convection-diffusion equation using stabilized finite element methods

Numerische Mathematik, 2007-05, Vol.106 (3), p.349-367

2007

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L^2(I;H^1(\Omega )^d)$$ and $$L^2(I;L^2(\Omega )^d)$$ best approximation type error estimates for Galerkin solutions of transient Stokes problems

Calcolo, 2024-03, Vol.61 (1), Article 7

2024

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FINITE ELEMENT POINTWISE RESULTS ON CONVEX POLYHEDRAL DOMAINS

SIAM journal on numerical analysis, 2016-01, Vol.54 (2), p.561-587

2016

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints

SIAM journal on control and optimization, 2008-01, Vol.47 (3), p.1150-1177

2008

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A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space

SIAM journal on control and optimization, 2013-01, Vol.51 (4), p.2788-2808

2013

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DISCRETE MAXIMAL PARABOLIC REGULARITY FOR GALERKIN FINITE ELEMENT METHODS FOR NONAUTONOMOUS PARABOLIC PROBLEMS

SIAM journal on numerical analysis, 2018-01, Vol.56 (4), p.2178-2202

2018

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Error estimates for finite element discretizations of the instationary Navier–Stokes equations

ESAIM: Mathematical Modelling and Numerical Analysis, 2024-03, Vol.58 (2), p.457-488

2024

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

SIAM journal on control and optimization, 2008-01, Vol.47 (3), p.1301-1329

2008

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A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems

Numerische Mathematik, 2012-02, Vol.120 (2), p.345-386

2012

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A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control

SIAM journal on control and optimization, 2016-01, Vol.54 (5), p.2403-2435

2016

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Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations

SIAM journal on scientific computing, 2008-01, Vol.30 (1), p.369-393

2008

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OPTIMAL A PRIORI ERROR ESTIMATES OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH POINTWISE CONTROL

SIAM journal on numerical analysis, 2013-01, Vol.51 (5), p.2797-2821

2013

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GLOBAL AND INTERIOR POINTWISE BEST APPROXIMATION RESULTS FOR THE GRADIENT OF GALERKIN SOLUTIONS FOR PARABOLIC PROBLEMS

SIAM journal on numerical analysis, 2017-01, Vol.55 (4), p.2025-2049

2017

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Fully discrete best-approximation-type estimates in L∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations

IMA journal of numerical analysis, 2023-04, Vol.43 (2), p.852-880

2023

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Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems

SIAM journal on control and optimization, 2007-01, Vol.46 (1), p.116-142

2007

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Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation

IMA journal of numerical analysis, 2021-10, Vol.41 (4), p.2639-2667

2021

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Measure Valued Directional Sparsity for Parabolic Optimal Control Problems

SIAM journal on control and optimization, 2014-01, Vol.52 (5), p.3078-3108

2014

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Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls

SIAM journal on control and optimization, 2019-01, Vol.57 (3), p.1730-1756

2019

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Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra

SIAM journal on numerical analysis, 2020-01, Vol.58 (3), p.1531-1555

2020

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hp-FINITE ELEMENTS FOR FRACTIONAL DIFFUSION

SIAM journal on numerical analysis, 2018-01, Vol.56 (4), p.2345-2374

2018

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Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls

SIAM journal on control and optimization, 2016-01, Vol.54 (3), p.1212-1244

2016

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Discrete maximal parabolic regularity for Galerkin finite element methods

OPTE special issue on PDE-constrained optimization

L2(I;H1(Ω)d) and L2(I;L2(Ω)d) best approximation type error estimates for Galerkin solutions of transient Stokes problems

POINTWISE BEST APPROXIMATION RESULTS FOR GALERKIN FINITE ELEMENT SOLUTIONS OF PARABOLIC PROBLEMS

Optimal control of the convection-diffusion equation using stabilized finite element methods

L^2(I;H^1(\Omega )^d)$$ and $$L^2(I;L^2(\Omega )^d)$$ best approximation type error estimates for Galerkin solutions of transient Stokes problems

FINITE ELEMENT POINTWISE RESULTS ON CONVEX POLYHEDRAL DOMAINS

A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints

A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space

DISCRETE MAXIMAL PARABOLIC REGULARITY FOR GALERKIN FINITE ELEMENT METHODS FOR NONAUTONOMOUS PARABOLIC PROBLEMS

Error estimates for finite element discretizations of the instationary Navier–Stokes equations

A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems

A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control

Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations

OPTIMAL A PRIORI ERROR ESTIMATES OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH POINTWISE CONTROL

GLOBAL AND INTERIOR POINTWISE BEST APPROXIMATION RESULTS FOR THE GRADIENT OF GALERKIN SOLUTIONS FOR PARABOLIC PROBLEMS

Fully discrete best-approximation-type estimates in L∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations

Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems

Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation

Measure Valued Directional Sparsity for Parabolic Optimal Control Problems

Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls

Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra

hp-FINITE ELEMENTS FOR FRACTIONAL DIFFUSION

Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls

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