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A FEM for an optimal control problem subject to the fractional Laplace equation
Stefan Dohr, Christian Kahle, Sergejs Rogovs +1
We study the numerical approximation of linear-quadratic optimal control problems subject to the fractional Laplace equation with its spectral definition. We compute an approximati…
-error estimates for Neumann boundary value problems on graded meshes
Thomas Apel, Johannes Pfefferer, Sergejs Rogovs +1
This paper deals with a priori pointwise error estimates for the finite element solution of boundary value problems with Neumann boundary conditions in polygonal domains. Due to th…
Fractional Operators with Inhomogeneous Boundary Conditions: Analysis, Control, and Discretization
Harbir Antil, Johannes Pfefferer, Sergejs Rogovs
In this paper we introduce new characterizations of spectral fractional Laplacian to incorporate nonhomogeneous Dirichlet and Neumann boundary conditions. The classical cases with…