A linear BDF2 finite-element integrator for the LLG equation achieves first-order spatial and second-order temporal convergence rates and converges to both weak and strong solutions.
BIT Numerical Mathematics , year =
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Proof of optimal H1-norm error estimates for A-stable BDF1/BDF2 full discretizations of Willmore flow using surface finite elements of degree at least 2.
Extending Huang-Shen splitting scheme analysis shows H1 error bound deteriorates with negative powers of viscosity, confirmed by Kovasznay flow perturbation test at high Re.
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BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimates
A linear BDF2 finite-element integrator for the LLG equation achieves first-order spatial and second-order temporal convergence rates and converges to both weak and strong solutions.
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Error estimates for $A$-stable backward difference full discretizations of Willmore flow of closed surfaces
Proof of optimal H1-norm error estimates for A-stable BDF1/BDF2 full discretizations of Willmore flow using surface finite elements of degree at least 2.
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Viscosity in error upper bound for a consistent splitting scheme of the Navier-Stokes equations
Extending Huang-Shen splitting scheme analysis shows H1 error bound deteriorates with negative powers of viscosity, confirmed by Kovasznay flow perturbation test at high Re.