30 citations · 376 across the 49 of their papers we have counts for
5 papers · 1 filter
Commutator estimates on contact manifolds and applications
Heiko Gimperlein, Magnus Goffeng
This article studies sharp norm estimates for the commutator of pseudo-differential operators with multiplication operators on closed Heisenberg manifolds. In particular, we obtain…
Adaptive FE-BE coupling for strongly nonlinear transmission problems with friction II
Heiko Gimperlein, Ernst P. Stephan
This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for transmission or contact problems in nonlinear elasticity. It concer…
Numerical simulations of the nonlinear Molodensky problem
Lothar Banz, Adrian Costea, Heiko Gimperlein +1
We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the earth from the gravitational po…
A Nash-Hormander iteration and boundary elements for the Molodensky problem
Adrian Costea, Heiko Gimperlein, Ernst P. Stephan
We investigate the numerical approximation of the nonlinear Molodensky problem, which reconstructs the surface of the earth from the gravitational potential and the gravity vector.…
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators
Heiko Gimperlein, Gerd Grubb
The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(-tP) associated to a classical, strongly elliptic pseudodifferent…