7 papers
Linearly implicit full discretization of surface evolution
Balázs Kovács, Christian Lubich
Stability and convergence of full discretizations of various surface evolution equations are studied in this paper. The proposed discretization combines a higher-order evolving-sur…
Computing arbitrary Lagrangian Eulerian maps for evolving surfaces
Balázs Kovács
The good mesh quality of an evolving discretized surface or domain is often compromised during time evolution. In recent years this phenomena have been overcome in a couple of ways…
Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type
Balázs Kovács, Christian Lubich
Semidiscretization in time is studied for a class of quasi-linear evolution equations in a framework due to Kato, which applies to symmetric first-order hyperbolic systems and to a…
Convergence of finite elements on an evolving surface driven by diffusion on the surface
Balázs Kovács, Buyang Li, Christian Lubich +1
For a parabolic surface partial differential equation coupled to surface evolution, convergence of the spatial semidiscretization is studied in this paper. The velocity of the evol…
High-order evolving surface finite element method for parabolic problems on evolving surfaces
Balázs Kovács
High-order spatial discretisations and full discretisations of parabolic partial differential equations on evolving surfaces are studied. We prove convergence of the high-order evo…
Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations
Balázs Kovács, Christian Lubich
Maxwell's equations are considered with transparent boundary conditions, for initial conditions and inhomogeneity having support in a bounded, not necessarily convex three-dimensio…