55 citations · 63 across the 5 of their papers we have counts for
5 papers
Discontinuous Galerkin methods for hyperbolic and advection-dominated problems on surfaces
Andreas Dedner, Pravin Madhavan
We extend the discontinuous Galerkin (DG) framework to the analysis of first-order hyperbolic and advection-dominated problems posed on implicitly defined surfaces. The focus will…
Adaptive discontinuous Galerkin methods on surfaces
Andreas Dedner, Pravin Madhavan
We present a dual weighted residual-based a posteriori error estimate for a discontinuous Galerkin (DG) approximation of a linear second-order elliptic problem on compact smooth co…
High order discontinuous Galerkin methods on surfaces
Paola Antonietti, Andreas Dedner, Pravin Madhavan +3
We derive and analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in . This is done by carefully ad…
Biomembranes report
Don Praveen Amarasinghe, Andrew Aylwin, Pravin Madhavan +1
In this report, we analyse and simulate a chemotaxis model given by a system of stochastic reaction-diffusion equations posed on an evolving surface.
Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
Andreas Dedner, Pravin Madhavan, Björn Stinner
We extend the discontinuous Galerkin (DG) framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface. An interior penalty (IP) method is…