Space–time least-squares finite elements for parabolic equations
We present a space–time least-squares finite element method for the heat equation. It is
based on residual minimization in L 2 norms in space–time of an equivalent first order …
based on residual minimization in L 2 norms in space–time of an equivalent first order …
Unstructured space-time finite element methods for optimal control of parabolic equations
This work presents and analyzes space-time finite element methods on fully unstructured
simplicial space-time meshes for the numerical solution of parabolic optimal control …
simplicial space-time meshes for the numerical solution of parabolic optimal control …
Comparison of algebraic multigrid methods for an adaptive space–time finite‐element discretization of the heat equation in 3D and 4D
O Steinbach, H Yang - Numerical Linear Algebra with …, 2018 - Wiley Online Library
The aim of this work is to compare algebraic multigrid (AMG) preconditioned GMRES
methods for solving the nonsymmetric and positive definite linear systems of algebraic …
methods for solving the nonsymmetric and positive definite linear systems of algebraic …
Time‐continuous and time‐discontinuous space‐time finite elements for advection‐diffusion problems
We construct four variants of space‐time finite element discretizations based on linear tensor‐
product and simplex‐type finite elements. The resulting discretizations are continuous in …
product and simplex‐type finite elements. The resulting discretizations are continuous in …
Surface and hypersurface meshing techniques for space–time finite element methods
A novel method is introduced for constructing two-dimensional (2D) surface meshes
embedded in three-dimensional (3D) space time and 3D hypersurface meshes embedded …
embedded in three-dimensional (3D) space time and 3D hypersurface meshes embedded …
A space-time finite element method for the eddy current approximation of rotating electric machines
In this paper we formulate and analyze a space-time finite element method for the numerical
simulation of rotating electric machines where the finite element mesh is fixed in a space …
simulation of rotating electric machines where the finite element mesh is fixed in a space …
A fitted space-time finite element method for an advection-diffusion problem with moving interfaces
QH Nguyen, PC Hoang, TTM Ta - Applied Numerical Mathematics, 2025 - Elsevier
This paper presents a space-time interface-fitted finite element method for solving a
parabolic advection-diffusion problem with a nonstationary interface. The jum** diffusion …
parabolic advection-diffusion problem with a nonstationary interface. The jum** diffusion …
Model order reduction for deforming domain problems in a time‐continuous space‐time setting
In the context of simulation‐based methods, multiple challenges arise, two of which are
considered in this work. As a first challenge, problems including time‐dependent …
considered in this work. As a first challenge, problems including time‐dependent …
Four‐dimensional elastically deformed simplex space‐time meshes for domains with time‐variant topology
Considering the flow through biological or engineered valves as an example, there is a
variety of applications in which the topology of a fluid domain changes over time. This …
variety of applications in which the topology of a fluid domain changes over time. This …
Space-time finite element methods for parabolic evolution problems with variable coefficients
We introduce a completely unstructured, conforming space-time finite element method for
the numerical solution of parabolic initial-boundary value problems with variable in space …
the numerical solution of parabolic initial-boundary value problems with variable in space …