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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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01/14/2022
The Sassenfeld criterion revisited
The starting point of this article is a decades-old yet little-noticed s...
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05/07/2021
Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up
This work is concerned with the development of an adaptive numerical met...
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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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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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08/13/2019
Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes
We consider spectral mixed discontinuous Galerkin finite element discret...
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06/17/2019