100 citations · 155 across the 7 of their papers we have counts for
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Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
Christoph Hofer, Ulrich Langer, Martin Neumüller
We propose and investigate new robust preconditioners for space-time Isogeometric Analysis of parabolic evolution problems. These preconditioners are based on a time parallel multi…
Time-parallel iterative solvers for parabolic evolution equations
Martin Neumuller, Iain Smears
We present original time-parallel algorithms for the solution of the implicit Euler discretization of general linear parabolic evolution equations with time-dependent self-adjoint…
The auxiliary space preconditioner for the de Rham complex
Jay Gopalakrishnan, Martin Neumüller, Panayot Vassilevski
We generalize the construction and analysis of auxiliary space preconditioners to the n-dimensional finite element subcomplex of the de Rham complex. These preconditioners are base…
Space-Time Isogeometric Analysis of Parabolic Evolution Equations
Ulrich Langer, Stephen E. Moore, Martin Neumüller
We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computatio…
Generating admissible space-time meshes for moving domains in -dimensions
Elias Karabelas, Martin Neumüller
In this paper we present a discontinuous Galerkin finite element method for the solution of the transient Stokes equations on moving domains. For the discretization we use an inter…
Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
Martin J. Gander, Martin Neumüller
We present and analyze a new space-time parallel multigrid method for parabolic equations. The method is based on arbitrarily high order discontinuous Galerkin discretizations in t…
Analysis of a Time Multigrid Algorithm for DG-Discretizations in Time
Martin J. Gander, Martin Neumüller
We present and analyze for a scalar linear evolution model problem a time multigrid algorithm for DG-discretizations in time. We derive asymptotically optimized parameters for the…