19 citations · 60 across the 7 of their papers we have counts for
8 papers
Discontinuous Galerkin and -IP finite element approximation of periodic Hamilton--Jacobi--Bellman--Isaacs problems with application to numerical homogenization
Ellya L. Kawecki, Timo Sprekeler
In the first part of the paper, we study the discontinuous Galerkin (DG) and interior penalty (-IP) finite element approximation of the periodic strong solution to the f…
Convergence of adaptive discontinuous Galerkin and -interior penalty finite element methods for Hamilton--Jacobi--Bellman and Isaacs equations
Ellya L. Kawecki, Iain Smears
We prove the convergence of adaptive discontinuous Galerkin and -interior penalty methods for fully nonlinear second-order elliptic Hamilton--Jacobi--Bellman and Isaacs equati…
Unified analysis of discontinuous Galerkin and -interior penalty finite element methods for Hamilton--Jacobi--Bellman and Isaacs equations
Ellya L. Kawecki, Iain Smears
We provide a unified analysis of a posteriori and a priori error bounds for a broad class of discontinuous Galerkin and -IP finite element approximations of fully nonlinear se…
Adaptive interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients
Susanne C. Brenner, Ellya L. Kawecki
In this paper we conduct a priori and a posteriori error analysis of the interior penalty method for Hamilton-Jacobi-Bellman equations, with coefficients that satisfy the Cor…
Finite element theory on curved domains with applications to DGFEMs
Ellya L. Kawecki
In this paper we provide key estimates used in the stability and error analysis of discontinuous Galerkin finite element methods (DGFEMs) on domains with curved boundaries. In part…
A finite element method for the Monge-Ampère equation with transport boundary conditions
Ellya Kawecki, Omar Lakkis, Tristan Pryer
We address the numerical solution via Galerkin type methods of the Monge-Ampère equation with transport boundary conditions arising in optimal mass transport, geometric optics and…
A DGFEM for Uniformly Elliptic Two Dimensional Oblique Boundary Value Problems
Ellya Kawecki
In this paper we present and analyse a discontinuous Galerkin finite element method (DGFEM) for the approximation of solutions to elliptic partial differential equations in nondive…
A DGFEM for Nondivergence Form Elliptic Equations with Cordes Coefficients on Curved Domains
Ellya Kawecki
In "I. Smears, E. Süli, \emph{Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordés coefficients. SIAM J. Numer Anal., 51(4):2088…