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8 papers · 2 filters
A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction
Clemens Hofreither, Stefan Takacs, Walter Zulehner
We consider geometric multigrid methods for the solution of linear systems arising from isogeometric discretizations of elliptic partial differential equations. For classical finit…
Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations
Christoph Hofer, Ulrich Langer
The dual-primal isogeometric tearing and interconnecting (IETI-DP) method is the adaption of the dual-primal finite element tearing and interconnecting (FETI-DP) method to isogeome…
Mesh Grading in Isogeometric Analysis
Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1
This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuo…
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…
Numerical simulation of parabolic moving and growing interface problems using small mesh deformation
Ulrich Langer, Huidong Yang
In this work, we develop a cutting method for solving problems with moving and growing interfaces in 3D. This new method is able to resolve large displacement or deformation of imm…
An algebraic multigrid method for quadratic finite element equations of elliptic and saddle point systems in 3D
Huidong Yang
In this work, we propose a robust and easily implemented algebraic multigrid method as a stand-alone solver or a preconditioner in Krylov subspace methods for solving either symmet…