3 papers
math.OC2026
A Lagrange-Newton method for solving optimal control problems on manifolds
Laura Weigl, Anton Schiela
In PDE-constrained optimization a control is applied within a partial differential equation (PDE), e.g., as a force field, to achieve a desired configuration of the PDE solution. T…
math.NA2025
Newton's method for nonlinear mappings into vector bundles Part II: Application to variational problems
Laura Weigl, Ronny Bergmann, Anton Schiela
We consider the solution of variational equations on manifolds by Newton's method. These problems can be expressed as root finding problems for mappings from infinite dimensional m…
math.DG2024
Newton's method for nonlinear mappings into vector bundles
Laura Weigl, Anton Schiela
We consider Newton's method for finding zeros of mappings from a manifold into a vector bundle . In this setting a connection on is required t…