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math.NA2024
Gradient Flow Finite Element Discretisations with Energy-Based -Adaptivity for the Gross-Pitaevskii Equation with Angular Momentum
Pascal Heid, Paul Houston, Benjamin Stamm +1
This article deals with the stationary Gross-Pitaevskii non-linear eigenvalue problem in the presence of a rotating magnetic field that is used to model macroscopic quantum effects…
math.NA2024
Exponential Convergence of -ILGFEM for semilinear elliptic boundary value problems with monomial reaction
Yanchen He, Paul Houston, Christoph Schwab +1
We study the fully explicit numerical approximation of a semilinear elliptic boundary value model problem, which features a monomial reaction and analytic forcing, in a bounded pol…