
Nonlinear and Linearised Primal and Dual Initial Boundary Value Problems: When are they Bounded? How are they Connected?
Linearisation is often used as a first step in the analysis of nonlinear...
read it

On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: WellPosedness and Conservation
We use the energy method to study the wellposedness of initialboundary...
read it

Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps
We use the behavior of the L_2 norm of the solutions of linear hyperboli...
read it

Stable filtering procedures for nodal discontinuous Galerkin methods
We prove that the most common filtering procedure for nodal discontinuou...
read it

A Class of A Stable Summation by Parts Time Integration Schemes
Since integration by parts is an important tool when deriving energy or ...
read it

Analysis of the SBPSAT Stabilization for Finite Element Methods Part II: Entropy Stability
In the research community, there exists the strong belief that a continu...
read it

Analysis of the SBPSAT Stabilization for Finite Element Methods Part I: Linear problems
A pure Galerkin scheme is notoriously unstable. To remedy this issue, st...
read it

Energy versus entropy estimates for nonlinear hyperbolic systems of equations
We compare and contrast information provided by the energy analysis of K...
read it
Jan Nordström
is this you? claim profile