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math.NA2022★ 1 cited
Quasi-optimal error estimates for the approximation of stable harmonic maps
Sören Bartels, Christian Palus, Zhangxian Wang
Based on a quantitative version of the inverse function theorem and an appropriate saddle-point formulation we derive a quasi-optimal error estimate for the finite element approxim…
math.NA2022★ 1 cited
Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere
Sören Bartels, Klaus Böhnlein, Christian Palus +1
We numerically benchmark methods for computing harmonic maps into the unit sphere, with particular focus on harmonic maps with singularities. For the discretization we compare two…