Outputs (4)

Remarks on Duality in Graph Spaces of First-Order Linear Operators (2006)
Journal Article
Jensen, M. (2006). Remarks on Duality in Graph Spaces of First-Order Linear Operators. Proceedings in Applied Mathematics and Mechanics, 6(1), 31-34. https://doi.org/10.1002/pamm.200610009

Graph spaces provide a setting alternative to Sobolev spaces and BV spaces, which is suitable for the analysis of first-order linear boundary value problems such as Friedrichs systems. Besides investigations of the well-posedness of the continuous pr... Read More about Remarks on Duality in Graph Spaces of First-Order Linear Operators.

On the discontinuous Galerkin method for Friedrichs systems in graph spaces (2006)
Journal Article
Jensen, M. (2006). On the discontinuous Galerkin method for Friedrichs systems in graph spaces. Lecture Notes in Computer Science, 3743, 94-101. https://doi.org/10.1007/11666806_9

Solutions of Friedrichs systems are in general not of Sobolev regularity and may possess discontinuities along the characteristics of the differential operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domain... Read More about On the discontinuous Galerkin method for Friedrichs systems in graph spaces.

Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications (2005)
Book Chapter
Carstensen, C., & Jensen, M. (2005). Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications. In Z. Shi, Z. Chen, T. Tang, & D. Yu (Eds.), Recent advances in adaptive computation (15-34). American Mathematical Society

Local averaging techniques, which are used to postprocess discrete flux or stress approximations of low-order finite element schemes for elliptic boundary value problems, are applied for error control and adaptive mesh refinement. We put particular e... Read More about Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications.

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization (2002)
Journal Article
Houston, P., Jensen, M., & Suli, E. (2002). hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. Journal of Scientific Computing, 17(1-4), 3-25. https://doi.org/10.1023/a%3A1015180009979

We consider a family of hp-version discontinuous Galerkin finite element methods with least-squares stabilization for symmetric systems of first-order partial differential equations. The family includes the classical discontinuous Galerkin finite ele... Read More about hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization.