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185 papers · 1 filter
A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems
Aaron Brunk, Ansgar Jüngel, Maria Lukáčová-Medvid'ová
A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic…
Characteristic boundary conditions for Hybridizable Discontinuous Galerkin methods
Jan Ellmenreich, Matteo Giacomini, Antonio Huerta +1
In this work we introduce the concept of characteristic boundary conditions (CBCs) within the framework of Hybridizable Discontinuous Galerkin (HDG) methods, including both the Nav…
A-posteriori-steered -robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
Ani Miraçi, Jan Papež, Martin Vohralík +1
In this work, we develop algebraic solvers for linear systems arising from the discretization of second-order elliptic partial differential equations by saddle-point mixed finite e…
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
Maximilian Brunner, Dirk Praetorius, Julian Streitberger
We consider scalar semilinear elliptic PDEs, where the nonlinearity is strongly monotone, but only locally Lipschitz continuous. To linearize the arising discrete nonlinear problem…
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs
Philipp Bringmann, Maximilian Brunner, Dirk Praetorius +1
We analyze a goal-oriented adaptive algorithm that aims to efficiently compute the quantity of interest with a linear goal functional and the solution to…
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
Jannis Körner, Anton Arnold, Christian Klein +1
We discuss the numerical solution of initial value problems for in the highly oscillatory regime, i.e., with and . We an…