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Numerical Solution of Some Types of Fractional Optimal Control Problems

TheScientificWorld, 2013-01, Vol.2013 (1), p.306237-306237

2013

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Numerical simulation of the formation of spherulites in polycrystalline binary mixtures

Applied numerical mathematics, 2021-08, Vol.166, p.61-75

2021

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An equilibrated a posteriori error estimator for an Interior Penalty Discontinuous Galerkin approximation of the p -Laplace problem

Russian journal of numerical analysis and mathematical modelling, 2021-12, Vol.36 (6), p.313-336

2021

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Numerical solution of a phase field model for polycrystallization processes in binary mixtures

Computing and visualization in science, 2019-02, Vol.20 (1-2), p.13-27

2019

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Convergence analysis of a conforming adaptive finite element method for an obstacle problem

Numerische Mathematik, 2007-09, Vol.107 (3), p.455-471

2007

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GOAL-ORIENTED ADAPTIVITY IN POINTWISE STATE CONSTRAINED OPTIMAL CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS

SIAM journal on control and optimization, 2010-01, Vol.48 (7-8), p.5468-5487

2010

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Comparative Study of the Dynamics of Lipid Membrane Phase Decomposition in Experiment and Simulation

Langmuir, 2013-06, Vol.29 (25), p.7565-7570

2013

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Optimization of plane wave directions in plane wave discontinuous Galerkin methods for the Helmholtz equation

Portugaliae mathematica, 2017-01, Vol.74 (1), p.69-89

2017

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A C 0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow. I: Derivation of the method and numerical results

Numerical methods for partial differential equations, 2019-07, Vol.35 (4), p.1458-1476

2019

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A C0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow. I: Derivation of the method and numerical results

Numerical methods for partial differential equations, 2019-07, Vol.35 (4), p.1458-1476

2019

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A C 0 interior penalty discontinuous Galerkin Method for fourth‐order total variation flow. II: Existence and uniqueness

Numerical methods for partial differential equations, 2019-07, Vol.35 (4), p.1477-1496

2019

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High order approximations in space and time of a sixth order Cahn–Hilliard equation

Russian journal of numerical analysis and mathematical modelling, 2015-12, Vol.30 (6)

2015

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Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem

Journal of numerical mathematics, 2015-12, Vol.23 (4)

2015

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Adaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraints

BIT Numerical Mathematics, 2015-03, Vol.55 (1), p.255-277

2015

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Convergence analysis of an adaptive nonconforming finite element method

Numerische Mathematik, 2006-04, Vol.103 (2), p.251-266

2006

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An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints

ESAIM. Control, optimisation and calculus of variations, 2008-07, Vol.14 (3), p.540-560

2008

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Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation

ESAIM. Mathematical modelling and numerical analysis, 2013-01, Vol.47 (1), p.125-147

2013

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Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips

Mathematics and computers in simulation, 2012-06, Vol.82 (10), p.1986-2003

2012

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Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables

Computing and visualization in science, 2010-08, Vol.13 (6), p.249-264

2010

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Numerical simulation of surface acoustic wave actuated cell sorting

Central European journal of mathematics, 2013, Vol.11 (4), p.760-778

2013

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Stoer/Bulirsch: Numerische Mathematik 1

10, neu bearb Aufl 2007th edition, 2007

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Chinese–German Computational and Applied Mathematics

Journal of computational methods in applied mathematics, 2016-10, Vol.16 (4), p.605-608

2016

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Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips

Computing and visualization in science, 2007-09, Vol.10 (3), p.145-161

2007

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WEAK-DUALITY BASED ADAPTIVE FINITE ELEMENT METHODS FOR PDE-CONSTRAINED OPTIMIZATION WITH POINTWISE GRADIENT STATE-CONSTRAINTS

Journal of computational mathematics, 2012-03, Vol.30 (2), p.101-123

2012

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A posteriori estimators for obstacle problems by the hypercircle method

Computing and visualization in science, 2008-09, Vol.11 (4-6), p.351-362

2008

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Numerical Solution of Some Types of Fractional Optimal Control Problems

Numerical simulation of the formation of spherulites in polycrystalline binary mixtures

An equilibrated a posteriori error estimator for an Interior Penalty Discontinuous Galerkin approximation of the p -Laplace problem

Numerical solution of a phase field model for polycrystallization processes in binary mixtures

Convergence analysis of a conforming adaptive finite element method for an obstacle problem

GOAL-ORIENTED ADAPTIVITY IN POINTWISE STATE CONSTRAINED OPTIMAL CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS

Comparative Study of the Dynamics of Lipid Membrane Phase Decomposition in Experiment and Simulation

Optimization of plane wave directions in plane wave discontinuous Galerkin methods for the Helmholtz equation

A C 0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow. I: Derivation of the method and numerical results

A C0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow. I: Derivation of the method and numerical results

A C 0 interior penalty discontinuous Galerkin Method for fourth‐order total variation flow. II: Existence and uniqueness

High order approximations in space and time of a sixth order Cahn–Hilliard equation

Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem

Adaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraints

Convergence analysis of an adaptive nonconforming finite element method

An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints

Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation

Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips

Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables

Numerical simulation of surface acoustic wave actuated cell sorting

Stoer/Bulirsch: Numerische Mathematik 1

Chinese–German Computational and Applied Mathematics

Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips

WEAK-DUALITY BASED ADAPTIVE FINITE ELEMENT METHODS FOR PDE-CONSTRAINED OPTIMIZATION WITH POINTWISE GRADIENT STATE-CONSTRAINTS

A posteriori estimators for obstacle problems by the hypercircle method

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