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04/04/2023
A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation
The focus of the present work is the (theoretical) approximation of a so...
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12/01/2022
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs
We consider a general nonsymmetric second-order linear elliptic PDE in t...
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10/31/2022
An adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations
We will consider the damped Newton method for strongly monotone and Lips...
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02/15/2022
A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations
We present a novel energy-based numerical analysis of semilinear diffusi...
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09/19/2021
A link between the steepest descent method and fixed-point iterations
We will make a link between the steepest descent method for an unconstra...
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09/13/2021
Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids
In this work, we introduce an iterative linearised finite element method...
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01/25/2021
A modified Kačanov iteration scheme with application to quasilinear diffusion models
The classical Kačanov scheme for the solution of nonlinear variational p...
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01/05/2021
On the convergence rate of the Kačanov scheme for shear-thinning fluids
We explore the convergence rate of the Kačanov iteration scheme for diff...
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10/20/2020
Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schrödingers equation
We present an effective numerical procedure, which is based on the compu...
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07/21/2020
A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods
In this note, we revisit a unified methodology for the iterative solutio...
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02/17/2020
Adaptive local minimax Galerkin methods for variational problems
In many applications of practical interest, solutions of partial differe...
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06/17/2019