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Space-time finite element methods for the initial temperature reconstruction
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
This work is devoted to the reconstruction of the initial temperature in the backward heat equation using the space-time finite element method on fully unstructured space-time simp…
Unstructured space-time finite element methods for optimal control of parabolic equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
This work presents and analyzes space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of parabolic optimal control problem…
Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
We consider a space-time finite element method on fully unstructured simplicial meshes for optimal sparse control of semilinear parabolic equations. The objective is a combination…