107 citations · 250 across the 39 of their papers we have counts for
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A convergent mixed method for the Stokes approximation of viscous compressible flow
Kenneth Karlsen, Trygve Karper
We propose a mixed finite element method for the motion of a strongly viscous, ideal, and isentropic gas. At the boundary we impose a Navier-slip condition such that the velocity e…
Operator splitting for the KdV equation
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1
We provide a new analytical approach to operator splitting for equations of the type where is a linear operator and is quadratic. A particular example is the…
A convergent nonconforming finite element method for compressible Stokes flow
Kenneth H. Karlsen, Trygve K. Karper
We propose a nonconforming finite element method for isentropic viscous gas flow in situations where convective effects may be neglected. We approximate the continuity equation by…
Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE
I. H. Biswas, E. R. Jakobsen, K. H. Karlsen
We derive and analyze monotone difference-quadrature schemes for Bellman equations of controlled Levy (jump-diffusion) processes. These equations are fully non-linear, degenerate p…
The discontinuous Galerkin method for fractal conservation laws
Simone Cifani, Espen R. Jakobsen, Kenneth H. Karlsen
We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservation laws. Various stability estimates are established along with error estimates for regul…
Convergence of a mixed method for a semi-stationary compressible Stokes system
Kenneth H. Karlsen, Trygve K. Karper
We propose and analyze a finite element method for a semi-stationary Stokes system modeling compressible fluid flow subject to a Navier-slip boundary condition. The velocity (momen…