The physics of financial networks
As the total value of the global financial market outgrew the value of the real economy,
financial institutions created a global web of interactions that embodies systemic risks …
financial institutions created a global web of interactions that embodies systemic risks …
[HTML][HTML] A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
We introduce a simple and general framework for the construction of thermodynamically
compatible schemes for the numerical solution of overdetermined hyperbolic PDE systems …
compatible schemes for the numerical solution of overdetermined hyperbolic PDE systems …
High order entropy preserving ADER-DG schemes
In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …
[HTML][HTML] On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
We use the framework of upwind summation-by-parts (SBP) operators developed by
Mattsson (2017, doi: 10.1016/j. jcp. 2017.01. 042) and study different flux vector splittings in …
Mattsson (2017, doi: 10.1016/j. jcp. 2017.01. 042) and study different flux vector splittings in …
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving …
For the general class of residual distribution (RD) schemes, including many finite element
(such as continuous/discontinuous Galerkin) and flux reconstruction methods, an approach …
(such as continuous/discontinuous Galerkin) and flux reconstruction methods, an approach …
Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities
We present two methods for the numerical solution of an overdetermined symmetric
hyperbolic and thermodynamically compatible (SHTC) model of compressible two-phase …
hyperbolic and thermodynamically compatible (SHTC) model of compressible two-phase …
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension
In this paper, we present a pressure-based semi-implicit numerical scheme for a first order
hyperbolic formulation of compressible two-phase flow with surface tension and viscosity …
hyperbolic formulation of compressible two-phase flow with surface tension and viscosity …
[HTML][HTML] Analysis of the SBP-SAT stabilization for finite element methods part I: linear problems
In the hyperbolic community, discontinuous Galerkin (DG) approaches are mainly applied
when finite element methods are considered. As the name suggested, the DG framework …
when finite element methods are considered. As the name suggested, the DG framework …
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable …
This work reports on the performances of a fully-discrete hp-adaptive entropy stable
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions
In this paper, we present convergence analysis of high-order finite element based methods,
in particular, we focus on a discontinuous Galerkin scheme using summation-by-parts …
in particular, we focus on a discontinuous Galerkin scheme using summation-by-parts …