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04/25/2023
Stable Lifting of Polynomial Traces on Triangles
We construct a right inverse of the trace operator u ↦ (u|_∂ T, ∂_n u|_∂...
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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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07/27/2021
Analysis of a stabilised finite element method for power-law fluids
A low-order finite element method is constructed and analysed for an inc...
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02/20/2021
Numerical analysis of a topology optimization problem for Stokes flow
T. Borrvall and J. Petersson [Topology optimization of fluids in Stokes ...
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02/17/2021
Finite Element Approximation of Steady Flows of Colloidal Solutions
We consider the mathematical analysis and numerical approximation of a s...
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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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11/05/2020
Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow
We devise 3-field and 4-field finite element approximations of a system ...
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10/04/2020
Mixed finite element approximation of periodic Hamilton–Jacobi–Bellman problems with application to numerical homogenization
In the first part of the paper, we propose and rigorously analyze a mixe...
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09/21/2020
A conservative fully-discrete numerical method for the regularised shallow water wave equations
The paper proposes a new, conservative fully-discrete scheme for the num...
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04/20/2020
