107 citations · 250 across the 39 of their papers we have counts for
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Convergent finite element methods for compressible barotropic Stokes systems
Kenneth H. Karlsen, Trygve K. Karper
We propose finite element methods for compressible barotropic Stokes systems. We state convergence results for these methods and outline their proofs. The principal tools of the pr…
Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
G. C. Coclite, K. H. Karlsen, Y. -S. Kwon
We consider conservation laws with source terms in a bounded domain with Dirichlet boundary conditions. We first prove the existence of a strong trace at the boundary in order to p…
An explicit finite difference scheme for the Camassa-Holm equation
Giuseppe Maria Coclite, Kenneth H. Karlsen, Nils Henrik Risebro
We put forward and analyze an explicit finite difference scheme for the Camassa-Holm shallow water equation that can handle general initial data and thus peakon-antipeakon in…